Fall 2008 Design Report Tim Palmer, Matt Cerro, Mark Pennington, Eli Henson, Nick Yankee, Achala Akuretiya, David Mehaffey robo-horizon@uidaho.edu Contents Executive Summary....................................................................................................................................... 3 Background ................................................................................................................................................... 4 Problem Definition ........................................................................................................................................ 5 Concept Development .................................................................................................................................. 6 Concepts Generated ..................................................................................................................................... 7 Catapult ..................................................................................................................................................... 7 Electromagnetic Launcher (EML) .............................................................................................................. 9 Sling ......................................................................................................................................................... 10 Concept Selection ....................................................................................................................................... 12 Product Description .................................................................................................................................... 13 Launching Process ....................................................................................................................................... 13 Control System ............................................................................................................................................ 14 Product Evaluation ...................................................................................................................................... 15 Economic Analysis ....................................................................................................................................... 16 Conclusion and Recommendations ............................................................................................................ 17 Appendix A .................................................................................................................................................. 19 2 Executive Summary This report presents the design of an electromechanical catapult designed to launch sensor to gather information on the moon. The National Aeronautics and Space Administration (NASA) believes that hydrogen could be trapped in deep craters on the Moon’s surface. In order to search for hydrogen, NASA plans on landing a stationary platform in one of these craters. The craters are deep enough to prevent sunlight from reaching the crater’s bottom, thus negating the use of solar power to run the platform and requires all components to use power efficiently. In order to collect sample points from the surrounding terrain and keep weight and power consumption low, NASA has charged us with developing a system which will launch a sensor array and retrieve it for repeated use. The design we decided on is modeled after a basic siege weapon, the catapult. There are numerous advantages to this design including the fact that its subsystems are decoupled and easy to troubleshoot. In addition it uses considerably less power than the other designs considered. A major limiting factor for the project is power consumption so we used rechargeable batteries that maximize the available power for the system. We also used high efficiency DC converters at numerous voltage levels to supply the minimum power needed. In regards to our control software, there are two main points of interest. Control of the catapult was accomplished through C code to actuate specific motors. Our power monitoring software came with the rechargeable batteries and allows for efficient charging/discharging of the batteries. In regards to the control hardware, there are also two main points of interest. The “mind” controlling all the motors is a Rabbit 4100 utilizing its multiple pulse width modulator channels as well as standard I/O ports. The power management station is a pelican case with a modulated computer inside as well as the power management circuit boards. 3 Background “The Moon is the first milestone on the road to the stars.” This quote by Arthur C. Clark captures the very essence of Robotic Horizons’ existence. Robotic Horizons, a University of Idaho capstone design team, has been tasked by NASA to develop a device to deploy sensors with the intent of locating hydrogen on the Moon. In the near future, NASA plans to set down a lander into some of the deep, permanently shadowed craters on the moon. Their desire is to take soil samples looking for hydrogen around the lander’s location. Due to limited information regarding terrain and conditions, NASA does not expect a rover to be able to maneuver successfully. In essence, another method is necessary to gather data from various points around the lander. It is speculated that there is hydrogen within the dust on the Moon’s surface. Due to the low gravity, gasses escape the atmosphere of the Moon easily. NASA wants to search within the craters of the moon where the possibility of finding hydrogen is much higher. The ultimate goal is to harvest hydrogen on the moon in order to create habitats suitable for humans to work in. This would make launching missions to Mars much more feasible as the Moon could be used as either the launching point, command point, or a staging point. There are many more possibilities for scientific activity upon discovery of hydrogen on the Moon. NASA plans to land a stationary platform within one of the larger craters. This is where the design by Robotic Horizons would be utilized. Complex devices, such as rovers, are expensive and potentially unreliable. In order to gather valuable data as economically as possible, Robotic Horizons has designed an Instrument Launcher – a device designed to launch, and retrieve, a sensor up to 10 meters on Earth, 60 meters on the moon. The design will deploy sensors throughout the crater collecting environmental samples. These sensors will use a method, such as mass spectrometry, to search for hydrogen. The design of the sensors, however, is not within the scope of the project. 4 Problem Definition Neil Armstrong said, “…we're going to the moon because it's in the nature of the human being to face challenges. It's by the nature of his deep inner soul... we're required to do these things just as salmon swim upstream.” Yet, the challenges on the moon are not over yet. The moon has unlimited potential. The moon can be used as a staging point for missions to Mars, and beyond. The moon also can be used to further many kinds of research from medical to advanced physics. NASA aims to go back to the moon relatively soon. However, such a feat is very difficult and expensive. If there were some way to create habitats on the moon, lunar activities would be much more possible. It is this goal of finding some source of creating an environment suitable for humans that spawned the idea of searching for gases on the moon. The moon’s gravity is too weak to hold an actual atmosphere, but there exists the possibility that hydrogen is trapped within the dust on the moon in the deeper lunar craters. One obvious solution would be rovers; however their current technology is ineffective. Rovers are unreliable due to their high power consumption and their mobility is limited. The question then arises, how can we search for this hydrogen? It is Robotic Horizons’ plan to build a device to send out sensors from a stationary unit to search for the gas trapped in the lunar dust. Robotic Horizons will be working for NASA to transform the idea of lunar habitats into reality. Table 1 describes the objectives and outcomes more in depth. See Appendix A: House of Quality for a complete list of design criteria. Table 1 Proposed Objectives Expected Outcomes Ability to launch sensor array 60 m (lunar Design launches sensor array 10 m (Earth gravity) gravity) Ability to retrieve sensor array after Design incorporates a tethered payload launch Ability to control catapult remotely Wireless systems interface via adhoc network 5 Long battery life Enough battery life to execute 100 launch/retrieve cycles Due to this mission being slated for the moon, certain constraints need to be mentioned. The most significant cost of the final design will be weight. This means that the cost of materials and construction are almost negligible compared to the cost of transporting the instrument to the Moon. Also, the instrument will need to be self powered because of the permanently shadowed nature of the craters. With the unknown conditions in the lunar craters the Robotic Lunar Exploration Program (RLEP), Instrument Launcher was envisioned. A device is needed to launch a sensor, one kilogram in mass and approximately 26 cubic centimeters in volume, up to 60 meters in any direction under lunar gravity. The current plan calls for 10 launches for the proof of concept; the final design is required to have the capability of 100 launches or more. Concept Development Our design process consisted of several steps. The first was identifying the project and completely understanding the scope, purpose, and problem the project was trying to solve. Since there was no need to reinvent the wheel, the next step was to see what was currently on the market and see if we could adapt anything for our project. The next step was to brainstorm different solutions to our problem. We didn’t want to be critical of ideas during that stage; we were simply coming up with as many ideas as possible. Once we had several design ideas, our next step was to select three of the best ideas and research them further. We then built several quick prototypes to better understand the potential problems with each design. Then we decided on one idea and focused all of our energy on that. We then analyzed our design and made necessary improvements. We continued the process of prototyping, testing, analyzing, and making improvements until we had our final design that we presented to our customer. As the lander arrived at its final destination the first step was to initialize itself and prepare to launch the sensor package. The next step was to define the targets. The options 6 included user defined targets or a predefined pattern. After the target acquisition phase, the sensor package then loaded into the catapult arm, a distance and angle was then calculated and translated into physical motion (catapult arm pulled back and turned to an appropriate angle). Once all preparations for launch of the sensor were completed, the sensor package was then deployed to the specified coordinates, collected viable data, and retrieved and prepared for another launch. Robotic Horizons has searched out multiple solutions to the problem of sending out sensors from a stationary unit. Preliminary prototypes of several design ideas have already been made. Three designs in particular have been researched further. Robotic Horizons has built an Electromagnetic Launcher, a Sling, and a Catapult. While each of the prototypes has their strengths and weaknesses, Robotic Horizons decided to focus their effort on the catapult design. The catapult design had the most reliability, production feasibility, and the best ability of electromechanical systems to be decoupled for technical problem solving. Concepts Generated Catapult One of the forefront concepts the group has decided to investigate further is the Catapult. Historically the catapult has proven to be a very effective, accurate, and efficient way of hurling an object over a distance. With this design, instead of re-inventing the wheel, we’re just refining an already good idea. Figure 1 shows a sketch of the initial prototype. 7 Figure 1: Catapult Prototype What we like about the Catapult is its simplicity. Building designs and mathematical models including the physics of a catapult are readily available. There are relatively few variables to consider when dealing with the operation of a catapult when compared to other concepts. As compared to the Sling model it is not limited by other objects on or around the platform. The only power required for launching is a motor used to pull the arm back. As for re-loading, the design makes this very simple. The very act of retracting the sensor array pulls it back into the cup of the catapult as seen in Figure 1 (above). Another aspect of the Catapult design is its ability to use and or interchange different sources of launching force. The main option right now is a simple spring which will pull the arm up rapidly. This will facilitate rapid prototype production as well as allow us to refine some of the details of the design while minimizing complexity. In addition to the spring we are looking into an electromagnetic design. The electromagnet would be charged very briefly producing a very strong magnetic field which would repel another electromagnet or permanent magnet. The final major consideration for the Catapult was the power consumption. Regardless of whether or not the Catapult uses a spring or electromagnet, it is still projected to use a minimal amount of power. This is a strong benefit as one of our primary design restrictions is battery life. The equations used to calculate power for the Catapult can be found in Appendix A, Figure 11. 8 Electromagnetic Launcher (EML) The electromagnetic launching system was inspired by numerous different sources. Rail guns have often been considered for explosive-free projectile launching. A favorite demonstration of many physics departments and garage experimenters involves launching an aluminum plate from an energized coil of wire. Many modern companies are investigating the use of electromagnetic launchers with a similar apparatus for propelling satellites and other space craft into orbit. We looked to these technologies and saw the opportunity to scale it into a small, lightweight, package. Figure 2: Electromagnetic Launcher Design The EML concept consists of wire wound solenoid using a steel core as a highly permeable flux path. A MOSFET controlled by a Rabbit microcontroller is used to manipulate the discharge pulse. Multiple capacitors are connected in parallel to store the charge required for firing the projectile. A simple DC to DC converter will be used to step up the battery voltage to charge the capacitors to the required potential level. The projectile is guided at launch by a short barrel protruding from the steel core. Figure 2 is an image of the EML concept. Figure 3 reflects the proposed circuit implemented in this design. Mathematical models pertaining to the specifics of this conceptual design can be found in Appendix A, Figures 12, 13, and 14. 9 Figure 3: EML Circuit Design The first advantage of this concept is related to energy efficiency. Due to the lack of moving parts, frictional losses within the launcher itself are very limited. High power levels are required for operation, but only for an extremely short duration. In this design a capacitor bank is utilized to provide storage for the charge and to allow for a quick discharge producing the large energy pulse. The short pulse width factors in to low average power utilization. Retrieval and targeting power consumption are similar to the other designs. The low power consumption meets one of our major design requirements. Another design constraint we sought to achieve with the EML concept was accuracy and repeatability. The purely electrical nature of the launching mechanism allows for precise control of the projectile using a microcontroller and supporting hardware. Targeting will be achieved with a combination of bearing control, using a motor and turntable, combined with varying the discharge pulse width by means of a microcontroller and MOSFET. Few friction forces present in the launcher limit the variance of each launch from ideal. This allows for consistent control using algorithms to account for known variables and targeting instructions. Sling The sling design utilizes rotational momentum to launch the projectile. By maintaining a constant angular velocity and increasing the radius between the load and the center of rotation, a significant amount of energy can be stored. This design could also launch multiple 10 projectiles at one time in a random pattern. Mathematical models for sling projectile motion can be found in Appendix A, Figures 9 and 10. Figure 4: Sling Design Some of the benefits of this design are the random launch pattern and the device’s ability to throw the projectile in 360 degrees without the need of a turntable. Also it has the benefit of simplicity. The device does not require any complex electronic aids. A simple motor controller can increase or decrease the rotational velocity and another simple motor will reel the tether in and out. There are a few problems with this method. The first problem is that it requires a considerable amount of space and would be adversely affected by obstructions near the platform. The power cost decreases as the radius of the circle increases. A nearby obstacle would require the device to use considerably more energy per launch due to the decreased radius. Another problem is the device must remain level. The optimal launch angle for any object seeking to travel the farthest distance is 45 degrees. The current sling design does not take advantage of this and as a result requires an initial velocity over four times greater than other designs. Figure 5 is an exploded 3D view of the current prototype sling. 11 Concept Selection The following morphological chart, Table 2, was used to asses each alternative for completion of the process flowchart (Appendix A, Figure 8) design. From this analysis, three initial concepts were chosen. The sling, catapult, and EML were selected for further review. Function Launch Retrieve Deployment (set up) (storage) Loading (Re-loading) Aim-controls Target Acquisition Launch Distance Guidance Sensors Communication Method Electromagnetic Launcher Catapult Cable Vehicle Self Contained Assembly Mechanical Magazine(Spring) Telescoping Arm Telescoping Arm R/C Vehicle (Wheels) R/C Vehicle (Tracks) Magazine (Gravity) Spring Stepper Motor / Microcontroller Trajectory Tension Pre-programmed points User aim by range/direction Mechanical Electrical (Spring) Laser Range Finder Baseline Zeroing Wired Wireless (Umbilical) Pattern Table 2: Morphological Chart At a team meeting three weeks prior to Senior Snap Shot Day, it was decided as a team that the sling was not capable of meeting the standards. It used too much power and did not make use of the optimum 45 degree launch angle. It was decided that we would discontinue research on this concept to focus our attention on production of the Catapult and EML prototypes. Our first prototype of the EML did not work as expected. It attracted the dummy projectile as opposed to repelling it. After talking to Dr. Hess, a Professor in Electrical Engineering, it was suggested that the design could not operate with the switch used. It was determined that a MOSFET used in place of the switch, and operating at the resonant frequency, would make the device operate as desired. Unfortunately this idea was too complex to be of use to us, and after much time and effort we still did not have a working prototype so it was sidelined. 12 According to the decision matrix, the catapult design is the most viable. With this in mind the Electrical engineers will be working on the coding and electronic controls while the Mechanical Engineers will be working on improving the catapult design. Catapult Electomagnetic Launcher Complexity 5 1 Minimal Size 4 5 Launch Velocity 5 5 Aim Controls 5 5 Platform Compatability 4 4 Power 4 4 27 24 Sling 5 4 2 3 4 2 20 Table 3 Decision Matrix Product Description Launching Process As stated earlier, Robotic Horizons has chosen an electromechanical catapult. The design has been kept as simple as possible since the availability to troubleshoot and fix problems on the moon is limited. Based on our conceptual design, we have built a design that includes two upright supports, one on each side, two mechanical springs, each connected to an upright, and the catapult arm in the middle. A motor pulls back the arm and holds it through a spool and ratcheting gear system. As the pawl and ratchet disengage, the springs pull the arm up quickly. An advanced motion inhibitor system stops the arm at 45⁰ from its initial position. This angle will allow for the maximum distance with the given force applied. The sensor is then launched. The sensor is attached to 13 Figure 5 Catapult - Elevated Back View a tether, which is, in turn, attached to a bait-casting reel system. The reel is attached to a motor, which reels in the tether and prepares the catapult for another launch. A lever arm actuates the release switch to allow the tether to free spool as the sensor is launched. We are controlling the catapult wirelessly through a microcontroller interfaced with a laptop. Control System The control system utilizes a distributed embedded processor design in which two separate microcontrollers share the work. The first and foremost microcontroller is the Rabbit 5400W (“RCM54”). The RCM54’s primary responsibility is to establish a wireless access point which allows other wireless devices to connect to it. Its second job is to provide a user control interface which converts commands given by the user into meaningful data streams and then sends them to the Rabbit 4100 (“RCM41”). The RCM41 is the second microcontroller which is ultimately responsible for motor control and sensor reading. The RCM41 utilizes RCM54 and turns Figure 6 Control Box - Elevated Front View certain motors to a specified position. The RCM41 then confirms that the motors have turned correctly and informs the RCM54 of a successful (or unsuccessful) completion. The RCM54 in turn informs the user of the status of the catapult. The decision to use a distributed processing approach was a simple one. It allowed the control system to reduce code complexity while increasing security and reliability. An end result for the system would be that either microcontroller would be able to run the catapult by itself in the event of a major failure of the other. The decision to use the Rabbit 5400W was simple enough. It was chosen for its processing power and capability as well as for user familiarity. The decision to use the Rabbit 4100 was a more complicated and prolonged scenario. We originally wanted to use a Basic Stamp 2px for its ability to easily interface with 14 motor controllers. Insurmountable difficulties were encountered, however, while attempting to get the BS2 and RCM54 to communicate. In order to complete the design, the use of the RCM41 was used. It was decided that there should be a control box that would act as the “Remote Control System.” The idea was to build a computer, essentially, which can hold all the necessary programming tools, programs, warranty information, and other team files which can be passed on to next year’s team. The design includes a 15” touch screen and a protective case to house all the components. It has also been speculated to use the box as the primary battery charging station for the batteries used on the catapult. Product Evaluation Mechanically, the catapult behaves just as we had planned. By simply changing the springs, controlling how far back we pull the catapult, and adjusting the weight of the payload, we can adjust the launching distance with a high level of accuracy. The retrieval subsystem works as planned as well. By adjusting the voltage supplied to the motor controlling the reel, we can control how fast the sensor is pulled in. Also, we can adjust the drag on a baitcasting fishing reel. This allows us to control how much force is opposing the sensor before the line slips. The lever arm that pushes the reel release down works as planned as well. The ratcheting system successfully holds the arm down, keeping the force opposing the motor to a minimum, preserving the life of the motor and allowing us to keep pulling back the arm and releasing the arm decoupled. The base rotates 360⁰ and the stepper motor works flawlessly. Overall, the catapult performs as expected and is a solid, durable design. Electrically, the catapult is very sound. We can control each of the motors exactly how we want through whatever code we decide to write. We were not, however, able to establish wireless communications between the Rabbit and the Control Box. We also weren’t able to have a more interactive interface. We wanted to be able to either put in points manually (one at a time or multiple times) or have a preset pattern database to choose from. We were only able to incorporate a one point at a time sequence. The computer behind all the programming is top of the line and can hold its own as technology continues to advance. The catapult meets the launching distance requirement of 10 meters on Earth. This was tested by simply launching half a pound weight and seeing how far it went. The catapult has a full 360⁰ of 15 rotation, supplied by the stepper motor. This was tested by inputting the desired range of motion into the user interface and ensuring the catapult turned the desired degrees. It was desired to make over a hundred launches. Our Ocean Server batteries have been used all day and still had plenty of power left in them. We wanted to be able to launch a payload of up to 1 kilogram in weight. We were able to launch several differently weighted and sized payloads. We wanted to consume less than 760 Watthours, which we did. We wanted to ensure we still had out of line of sight communication. This was achieved, however, still needed some modification to work as planned. We wanted to be able to retrieve 8 out of every 10 payloads launched. We were able to retrieve every payload launched. We wanted to be able to pinpoint the payload landing. However, we did not work on acquiring the position of the payload after it had landed. We wanted to be able to make sure this design could be used on the moon. However, due to the low temperature of the moon, the dusty environment, and other unknown conditions, we were not able to make our project moon-ready, though it was Earth-ready. Materials that could work on the moon are just too expensive to implement in our project design at this point. We wanted the base of the catapult to be 16 inches by 16 inches, with a height of 3 feet. We also wanted the catapult to be less than 24 inches and 10 kilograms. All of these design constraints were met. Table 6 in Appendix A is our Design Failure Mode And Effect Analysis (DFMEA). It details each of the possible methods of failure, their severity, how we can recover from the situation and the recommended actions to limit the possibility/severity of the failure. Each of the subsystems have been analyzed using this method. Economic Analysis We started with a budget of $6,000. Because of that, we decided to go with top quality products. Based on an analysis of our expenses, we realized that we would finish the semester right at our budget limit. However, we received news that our budget had increased by approximately $4,000. With this, we decided to improve some of the components to the control box, improve our spring selection and improve various aspects to the instrument launcher design. Table 4 shows an approximated list of expenses broken down by subcategory. Table 5 in Appendix A shows a complete breakdown of the team’s spending. 16 Table 4 - Proposed Budget Project Category Sub Category Materials Motors Mechanical Launching Subassembly Retrieval Subassembly Manufacturing Services Remote Control System Onboard Control System Electrical Power Management System Miscellaneous Components Estimated Cost $500 $200 $300 $300 $800 $1,200 $600 $2,500 $300 It is difficult to put a price on the time spent on the design. As a team, we spent a whole academic year designing, building, improving, and rebuilding our catapult as well as administrative paperwork, public relations, and other senior design tasks. Countless hours were spent on this project. If seven members averaged 20 hours per week for 24 weeks (how long we had to work on the project) for a total of 3360 man hours at $25.00 per hour (average starting engineer’s salary), the project is worth $84,000. The hard cost of the project itself was $8000. In all, the project cost was approximately (excluding travel) $92,000. Compared to other NASA projects such as rovers and other mobile units, this project is much more economical. Also, all of these products were purchased retail. NASA may be able to purchase many of these products used in our design at a government discount price or may simply be able to manufacture similar products. If NASA implemented this design, they would save approximately $80,000 in labor costs. Also, because of the simplicity and repeatability of this design, it can be used over and over and can also be mass manufactured which would cut down on costs. Conclusion and Recommendations In summary, we have found that an acceptable method for launching a sensor array to collect data and retrieve it is a simple design based on a catapult. The strong points of our design are its 17 simplicity and low power consumption. In addition, selecting an advanced control system allowed for precise motor control as well as organized programming. We feel that our design is an exceptional stepping stone in the process of developing an effective stationary instrument launcher. That being said, we believe that there are numerous points which can be improved. The first of which is the reloading mechanism. While ours is basically a ramp, a more interactive device may be required should the sensor become irretrievable and need to be untangled or detached and a new package loaded. Another major point to consider is the ratcheting system. This will need to be improved in order to more efficiently transfer energy. Suggestions include a ratchet with more teeth to improve the resolution of the range and an autonomous release system. In addition to the aforementioned improvements, a braking clutch can be integrated with the spool method of pulling back the arm to allow for a more efficient release of the arm. As of now, the control system is a very powerful system and allows for quite a bit of modification. No recommendations for improvement can be made at this point. Even though the sensor is outside the scope of this project, two things to keep in mind are optimizing the mass and spring and motor selection. The mass pulls back on the tether, which keeps the reel from “bird nesting.” The more mass present, the less the line will bird nest, but too much mass will restrict the maximum range of the catapult. A payload which is too light will not overcome the internal drag of the reel and line. Because of the adaptability and scalability of the catapult, we can change springs to accommodate different needs. Stronger springs, however, will need a stronger winching motor. If NASA decides to use this instrument launcher on the moon, we will be closer to reaching the reality of lunar habitats. Our catapult leads the process in search of hydrogen and advancing lunar research. With the advent of lunar habitats, scientists will be able to much more freely research advances in spatial physics, lunar activity, missions to Mars and perhaps beyond. Our catapult forms the foundation to achieving great and wondrous accomplishments. 18 target values Power X X Figure 7: House of Quality 19 16X16in X <10 kg X X Package Self Deployment Platform Height Dusty Environment Low Temperature Design Pinpoint Payload Landing Repeatable Retrieval Maintain Communication Max Power Consumption Size of Payload Mass of Payload # of Data Points Payload Rotational Range Package Footprint X Package Mass X Package Height Minimal Size <24in Autonomy No human interaction Platform Compatability 1m Environmental Concerns Dust Proof Storage Communication < 50K Aim Controls < 1 m error Retrievable Payload 8 out of 10 Terrain Limitations out of line of sight Target Acquisition < 760 Wh X <=6x6x6in Payload Versitility <=1kg X >100 Range 360 deg customer needs Payload Launching Distance tech specs 60m +/- 5m Appendix A X X X X X X X X X X Storage Flight Land at final destination Deployment / Initialization (Zeroing) No User targeting (Range and Bearing) Target Definition Predefined Pattern Autonomous? Predefined Points (Relative Bearing and Range) Yes More Targets? Payload loading Yes Retrieve Payload Calculate Force / Trajectory Payload Deployment Payload Tracking (Location) Figure 8: Process Flowchart 20 Retrieve Data No !!! Self Destruct !!! Figure 9: Sling Math Model Figure 10: Sling Graphical Model Angular Velocity Vs. Radius of Cable 21 FOR Catapult Velocity = 10m/s mass (total) = 1.5kg Powermoon(W) Voltage acceleration = 100m/s^2 Powerearth(W) mW-hrsmoon 0.1 0.174 0.1811 0.004834 Force req. = 150 N 1 1.74 1.811 0.048337 pulse time = .1s 5 8.7 9.055 0.241686 F (moon) = 157.5N 8 13.92 14.488 0.386698 12.2 21.228 22.0942 0.589714 I = R/90 (see log book for defined values for the14.4 90) 25.056 26.0784 0.696056 F (earth) = 163N Current (moon) = 1.75 A Current (earth) = 1.811 A Voltage = 5, 8, 12.2, 14.4 V for reel motor on moon for reel motor on earth under max load under max load Time to reel 60m in (in Torque Power second …in …in (lbs in) F.L. amps (W) s) hours minutes output RPM Watthrs Time to reel 10m in (in seconds) …in hours Watt-hrs 10 100 2.7 1.047 2255.6 0.627 37.594 0.656 375.9398 0.104428 0.109356 30 100 5.2 3.142 751.9 0.209 12.531 0.656 125.3133 0.034809 0.109356 55 50 5.6 2.880 410.1 0.114 6.835 0.328 68.3527 0.018987 0.054678 90 36 5.8 3.393 250.6 0.070 4.177 0.236 41.77109 0.011603 0.039368 Figure 11: Catapult Power Spreadsheet 22 Variables/Constants y 0 1.5m g 9.807 m s Equations 2 v 0y v 0 v 0 cos ( ) 45deg v 0x v 0 v 0 cos ( ) y t v 0 g y 0 v 0y v 0 t 1 2 ( g ) t 2 x t v 0 v 0x v 0 t Trajectory on Moon 20 Height (Meters) y t 9 1 g s 6 15 m m m y t 10 y t 11 s 1 g 6 10 1 g 5 s 6 0 0 8 16 24 32 x t 9 m s Trajectory on Earth 40 x t 10 48 m s 56 x t 11 m s 64 72 12 13.5 80 Distance (Meters) 5 Height (Meters) y t 9 m s m m y t 10 y t 11 4 g s s 3 g 2 g 1 0 0 1.5 3 4.5 x t 9 6 m s 7.5 x t 10 m s 9 x t 11 Distance (Meters) Figure 12: Projectile Trajectory vs. Initial Velocity at 45 degrees 23 10.5 m s 15 Figure 53: EML Force vs Turns vs AWG Figure14: Force vs. Distance vs. Number of Turns 24 Table 5 (List of Expenses) Date Order Description Quantity Price Expenses Running Total -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------6000 39769 McMaster ball bearing for Sling Proto 1 1 10.21 5989.79 39772 Assorted Hardware for Emag Proto multiple 1 44.01 5945.78 39773 3d Printing of the Sling 1 162.58 5783.2 39792 RCM4100 RabbitCore Development Kit 1 229 5554.2 39792 Laser 6 75 MHz Transmitter 1 142.98 5411.22 39829 Pelican 1600 Protector Case 1 165 5246.22 39840 BP-033R Backplane, Single 5.00mm 5 Position 8 Header 152 5094.22 39840 Combination Backplane Connector & Cable 4 24”59.84 5 Position Header 5034.38 39840 XP-08s Mini Battery Management Module 1 1195.7 3838.68 Line is used for above entry extra data sheet 0 3838.68 39849 Stepper motor 1 73 3765.68 39849 Stepper motor Control 1 99 3666.68 39849 Large Diameter turntable 1 31.59 3635.09 39849 LINKSYS WUSB54G USB 1.1/2.0 Wireless-G 1 Adapter 49.99- Retail 3585.1 39849 Kingston 2GB 240-Pin DDR2 SDRAM DDR2 1 667 (PC2 19.99 5300) Desktop Memory Model 3565.11 KVR667D2/2GR - Retail 39849 intec DS Lite Stylus Pens 2 9.98 3555.13 39849 Seagate Momentus 7200.3 ST9320421AS1320GB89.99 7200 RPM SATA 3.0Gb/s Notebook 3465.14 Hard Drive (Bare drive) - OEM 39849 Intel BOXD945GCLF2 Atom 330 Intel 945GC 1 Mini 83.99 ITX Motherboard/CPU Combo 3381.15 - Retail 39849 SAMSUNG Gray & Black USB 2.0 Slim External 1 8X 74.69 DVD Drive USB-Powered Model 3306.46 SE-S084B - Retail 39849 Logitech V10 2.0 USB Notebook Speakers 1 - Retail 99.99 3206.47 39850 15" Touch Screen Monitor 1 499.99 2706.48 39855 Cabela's All Pro Casting Reel 1 38.98 2667.5 39855 30 lb Cabela's ProLine® Original Line – Natural 1 Clear 5.99 2661.51 39855 Black & White USB 2.0 1 36.99 2624.52 39855 Freewheel 13 tooth 1 24.99 2599.53 39856 1/8" Aluminum 6061-T6 Sheet 36x48" 1 107.14 2492.39 39856 3/2"x3/16" 6061-T6 Aluminum tubing 84" 2 long 67.36 2425.03 39856 3/4" 6061-T6 Aluminum Round, Cold Finish 1 12"40.61 long 2384.42 39856 Angle Bracket 8 4.72 2379.7 39856 3/4" shaft mount 1 56.26 2323.44 39856 Metric Socket Screw M4 P.7 by 10 mm long 1 package 6.85 of 100 2316.59 39861 .19 Lb/in K Tension Spring 6 37.38 2279.21 39861 .38 lb/in K Tension Spring 4 14.64 2264.57 39861 Plain Bearing (bushing) 2 8.9 2255.67 39861 Graphite Dry Lube 6 19.74 2235.93 39861 Angle Brace 90 deg 8 7.52 2228.41 39863 Polypropylene Base Furniture Set 4 33.16 2195.25 39863 2x12x.75" Aluminum Strip 1 13.18 2182.07 39863 Polyethylene-Cushioned Base Furniture4Set 28.56 2153.51 39863 .125x.125" Brass Key Stock 2 2.48 2151.03 39867 320 W Power Supply 18 V 1 214.25 1936.78 39867 DC in power cable with ring tongue 4 20.68 1916.1 39867 Mini Fir Connectors 2 Pin 20 24 1892.1 39867 Mini Fir Connectors 4 Pin 20 30 1862.1 39867 Mini Fir Connectors 6 Pin 15 26.25 1835.85 39867 Mini Fir Connectors 8 Pin 20 39 1796.85 39867 Mini Fir Connectors 10 Pin 5 14.75 1782.1 39867 Mini Fir Connectors 12 Pin 2 7 1775.1 39868 20 Ft Primary Wire 11 Violet 1 6.5 1768.6 39868 30 Ft Primary Wire 3 Green 1 6.5 1762.1 39868 40 Ft Primary Wire 2 Black 1 6.5 1755.6 39868 40 Ft Primary Wire 4 Red 1 6.5 1749.1 39868 40 Ft Primary Wire 5 Yellow 1 6.5 1742.6 39868 Shipping for all Action Electronics 1 13.42 1729.18 39868 Facilities Fees on Monitor Mount and Shearing 1 Metal 133 1596.18 39869 Fully Keyed 1045 Steel Drive Shaft 1/2" OD, 1 1/8" 18.21 Keyway 1' long 1577.97 39869 Bronze Flange Bearing 1/2" ID 4 5.08 1572.89 39869 Steel external Retaining Ring for 1/2" diameter 1 2.17 shafts 10 pack 1570.72 39869 Steel external Retaining ring for 1/4" diameter 1 8.09 shafts 10 pack 1562.63 39869 Zinc plated steel threaded Rod 1/4"-20 thread, 1 1'0.8 length 1561.83 39869 Mounted Pully 1/4" diameter rope 11/16" 1 OD on 7.11 Pully 1554.72 39869 Alumminum Bar 1" x 2" x12" 1 54.2 1500.52 39869 Sleave Bearing 1/4" 5 3.1 1497.42 39869 T3257S-12V 12Vdc, 0.75” stroke, push solenoid 2 103.32 1394.1 39897 Annodizing multiple catapult parts 1 165 1229.1 39900 Rapid Prototype of battery case and reel4 mount 455.08 774.02 39903 3mm Keyway Broach style A 1 42.06 731.96 39903 4mm Keyway Broach style B1 1 49.25 682.71 39903 Keyway Bushing Collared 8mm A 1 10.47 672.24 39903 Keyway Bushing Collared 10mm A 1 10.47 661.77 39903 Keyway Bushing Collared 12mm A 1 10.47 651.3 39903 Keyway Bushing Collared 12mm B1 1 10.36 640.94 39903 Plain Steel Angle Brackets 6x8" 4 53.6 587.34 39903 ¼-20 2” Screws 1 7.13 580.21 39903 5’ of 2” adhesive backed Velcro strip 1 15.01 565.2 39905 Omnex Wireless Kill Switch 1 1073 -507.8 25 26 27