Maryam AL-Naemi 10C Mr. Hennard Lab Report: The impact a parachutes surface area has on its fall time. Research Question: How does the surface area of a parachute effect the time it takes to fall a distance of 580cm? Hypothesis: I think that the smaller the surface are of the parachute is the less time it would to reach the ground. Also the larger the surface area the more time it would take to reach the ground. This is due to there being a larger air resistance meaning more air particles collide wit the parachute. Meaning that when the surface area is smaller the time taken for it to get to the ground is less because there are less air particles colliding with the parachute; there will be less air resistance. ("GCSE Physics") Background Information: Air resistance is a force. It acts in the opposite direction to the direction you are traveling. It is caused by molecules of air colliding with an object making it slow down or eventually stop. It is also known as drag.("What Is Air Resistance?") The air resistance force on an object depends on a few factors; one of which is the shape of the object. The larger the object the more air (fluids) it needs to move out of the way meaning it has more air resistance. Thats why race cars and jet planes are made streamlined.("Air Resistance") Air resistance acts against gravity for an object falling down. If an object moves left and right while falling then air resistance would be opposite, while as when it is moving straight down gravity will pull it down and air resistance will push it up. Also gravity is a stronger force than air resistance, that is why everything that falls eventually hits the floor. Even when the object is at terminal velocity. ("Click Here To Play: Air Resistance: It's All Around You!") Terminal velocity is when an object gets to a point where it does not accelerate anymore and for a short period of time air resistance is stronger than gravity. (Univesity today, "Air Resistance") ("9-13 Physics - Physics Workbook") Maryam AL-Naemi 10C Mr. Hennard ("GCSE Physics") Apparatus: • 4 garbage bags (100cmx100cm) • Scissors • Hole Puncher • 32 pieces of 30cm string • 4 10g Weights • Stopwatch • Weigh hook • 30cm Ruler Maryam AL-Naemi 10C Mr. Hennard Variables: Type of Variable Variable How is it manipulated or controlled? Independent Surface Area This can be changed by changing the size of the parachute. Dependent Fall time This is dependent on the surface area of the parachute. Control Falling distance If this is changed then the time would be altered for each parachute, thus to make it a fair lab and to have reliable results we need to use the same falling distance. In order to control this variable we should use the same space for each surface area/trial. Control Material of parachute The type of the material effects the rate in which it falls and in order to ensure this not happening we use the same material/brand of garbage bags Control Environmental Impacts Conditions such as wind may impact the parachute and the time in which it takes to reach the ground thus when dropping the parachute we should use the same place. Maryam AL-Naemi 10C Mr. Hennard Method: 1. Lay out the apparatus as listed. 2. Cut the garbage bags into size 10cmx10cm. Make sure to have the garbage bag spread out into a single sheet first. 3. Punch 8 holes into the “parachute” using the hole puncher one on each corner and one between each corner. As such: 4. Tie strings to each one of the holes and then tie the strings together from the other side. 5. Place 40g on the weight hook and attach it to the strings on the parachute. 6. Drop the parachute from a height of 580cm and use a stop watch to see how much time it takes to hit the floor. 7. Repeat steps 3-6 for size 30x30, 50x50 and 70x70 to test different surface areas and do 3 trials for each to make it a fair test. Maryam AL-Naemi 10C Mr. Hennard Fair Testing To ensure all the control variable are controlled well. Keep any factors that might impact the parachutes fall, close the windows and air vents. Make sure to use the same exact sizes for each trial. Data Table: Time (in seconds) Surface Area(cm^2) Trial 1 Trial 2 Trial 3 100 1.9 1 1.21 900 2.25 2.03 2.1 2500 3.53 3.75 3.54 4900 4.28 4.19 4.17 Maryam AL-Naemi 10C Mr. Hennard Diagram: Graph: Graph showing the impact of a parachutes surface area on its fall time. At surface areas of 100cm^2, 900cm^2, 2500cm^2, 4900cm^2. Regression Correction = 0.94 Maryam AL-Naemi 10C Mr. Hennard Conclusion: In my hypothesis I stated that “I think that the smaller the surface are of the parachute is the less time it would to reach the ground...” Looking at my results I can say with confidence that my hypothesis was correct. The smallest surface area we used was 100cm^2 and it had the fastest time, at 1 second. The largest surface area we used was 4500cm^2 at the slowest fall time with 4.28 seconds. Both results support my hypothesis. The graph has a positive correlation of 0.94. This means the graph is moving along the x axis and up the y axis, meaning as x increases, so does y. So as the surface area increases so does the fall time. The points seem to be evenly disturbed above and below the line of best fit. This shows that there is a random error in the data, in order to avoid this I suggest having more trials and more precise measurements (of the time, the surface area, the strings length) Evaluation: ! Reliability of data: The regression correlation of the points to the line of best fit is 0.94. In calculus anything between 0.9-1 is considered reliable and accurate. Also when looking at the graph you can the points are more or less all close to the line of best fit making it reliable. I conclude by saying the data was reliable ! Reliability of method: A stopwatch was used to measure the fall time of the parachute, a few mistakes might have happened here. The person with the stopwatch might have been a second late or a second fast. Effecting the reliability of the method, but since in this case all three trial for each surface area were fairly close these errors are very unlikely. Another thing that might tamper with the reliability of the method is how well we controlled the variables. Factors like wind and other environmental factors might effect the fall time, since we did the lab and all the trial in a short time span all of these factors didn’t change. They were the same for all trials and surface areas. We did 3 trials and we had someone different do it each time so that if there was a random error it might be taken out of the equation. Overall the method was reliable. ! ! Validity: Air resistance is one a huge factor of this lab, in the process of doing and making this lab a few measuring instruments weren’t used correctly. For one, when punching holes into the parachutes, the holes might very in size. If thats the case then more air molecules will be let in tampering with the data. Also when cutting the garbage bags, the sizes where measured using a 30cm ruler meaning the ruler will have to be reused for sizes like 70cmx70cm or 50cmx50cm. The likely hood of the areas being wrong by 1 or 2 cm is very likely, a 1meter ruler would have given us more valid data. The control variables were controlled well and measured well using the appropriate instruments. The method gave us valid data. Maryam AL-Naemi 10C Mr. Hennard Weakness or Problem with method Suggested improvements It didn't mention how big the holes for the Use more detailed references to the string had to be or how thick the string apparatus was. It didn’t explain the type of knot use for the ropes If a loose knot was made it would make the parachute snap, mentioning or explaining how to tie the knot would help avoid this. It didn’t say that you should record your findings To mention to recording findings, preferably in a well labeled table.