Drexel-SDP GK-12 ACTIVITY Activity Template Subject Area(s) Data analysis & probability, measurement, number & operations, physical science, science & technology Associated Unit Simple Machines Associated Lesson Wheel and Axle Activity Title “Rolling, Rolling” Grade Level 6th-8th Time Required 2 class periods Group Size 3 students per group Expendable Cost per Group US $10 Summary Students will learn how friction can significantly slow down an object depending on the surface it is on. They will record their observations as they move objects across different surfaces using a force spring gauge. Besides different surfaces, students will get an opportunity to use a combination of wheels and axles to move their objects across the surface faster and with less work. Additionally, the activity will end by picking the best design of wheel and axle to move the instructor across the classroom. Engineering Connection Engineers must understand the uses of the wheel and axle to move heavy object across different surfaces with minimum work. They also must understand the force of friction so they can minimize it while designing different machines. This activity presents students with a challenge of moving a person across the room. As engineers, students must learn how to quickly analyze the problem to come up with the most appropriate solution. Keywords Simple machines, wheel and axle, work, friction, effort, resistance Educational Standards • Science: 3.4.7.C • Science: 3.4.10.C • Science: 3.7.7.B • Math 2.2.8.A • Math: 2.7.8. B Pre-Requisite Knowledge • Definition of wheel and axle • Understanding the work equation (Force x Distance) • Interpreting a force spring gauge Learning Objectives After this lesson, students should be able to: • Learn how a wheel and axle can make work much easier • Recognize how textures on a surface change the amount of friction • Calculate the coefficient of static friction for different surfaces • Calculate the amount of work needed to move an object across a surface Materials List Each group needs: • Book • Weighing scale • String • Toy Wooden Karts • 5 wooden rods (1 inch diameter) • 5 wooden rods (3 inch diameter) • Metric ruler • Spring scale • Calculators • Stopwatch • Wooden plank 2 Introduction / Motivation I suggest introducing this lesson with a short clip from The Flintstones cartoon series in which Fred Flintstone starts up his stone wheel vehicle with his feet. There are a couple of good friction examples in these scenes. I would first ask the class if they can identify the places in the clip where friction is exhibited. First of all when Fred first gets in the car he has to start the car by pushing off his feet. This is an example of using force to break the static friction. The force from his feet must be stronger than the static friction holding the stone wheel in place. Once Fred has the car in motion he can rest his feet for a while because the wheels are already in motion. On the other hand, if he did not pedal again the vehicle would come to a stop because the stones are constantly turning over the rough ground, causing the car to slow down. This is an example of kinetic friction. Finally, whenever Fred wants to stop the vehicle he has to apply the brakes or as he does it by dragging his feet into the ground. This is an example where his feet are causing a large amount of friction on the ground. Vocabulary / Definitions Word Definition Effort A force exerted by a machine or by the muscles in humans Resistance The opposition to a force such as the weight of an object Work A quantity in physics that relates the amount of force over a certain distance. Power Another quantity in physics that relates the amount of work done in a certain amount of time. Friction A force that resists motion when two objects are in contact Procedure Background Friction can best be explained by relating it to students pushing a heavy box over the rough ground. The rougher a surface is or the heavier the box is the harder it will be to move the box, or in other words the more friction that exists. Friction is a force that resists motion when two objects slide past each other. The weight of the box and the tiny imperfections on the ground make it difficult to move. In actuality there are molecular bonds that form and break when two surfaces rub against each other producing thermal energy in the form of heat. At this point you can have the students rub their hands together briskly until they feel the heat. That is friction! Now if one really needed to move a heavy box then they could put wheels under it. This would reduce the amount of friction created between the two surfaces because a wheel makes less contact with the ground than a whole box. In the modern era cars can move through the streets because their rubber tires easily roll on the asphalt. This is because the two surfaces will produce minimum friction between each other. These two surfaces are relatively smooth when they slide past each other. It will be important in this lesson to determine which surfaces will produce the least amount of friction between each other. 3 The force of friction that prevents an object from moving can be expressed by finding the coefficient of static friction, µ. This value can be found by knowing the weight of the object or the normal force, W, and the amount of force that is needed to break the stillness, f. µ= f / W Before the Activity • Review work (Force x Distance) equation with the students. • Explain the meaning of work, power and friction in terms of physics. Students will often relate these terms to their everyday experiences. • Make sure the force spring gauges have hooks on them so they can be tied to the string. With the Students 1. Put the book on the weighing scale and record the weight of the book 2. Tie string around the inside pages of a heavy textbook. 3. Hook spring gauge to the end of the string. 4. Place meter stick across table marking the beginning and end of 1 meter. 5. Drag book across the table along the 1 meter path you marked in step 3. 6. Use your stopwatch to record how long it takes to move the book across the surface (Figure 1). Figure 1: Book on top of wooden toy kart before dragging across table. 7. Record the force needed to move the book on your worksheet. 8. Calculate the work needed to move the book across the table and record it on your worksheet. W=F*D Where W is the work required to move the object in Newtons-meters, F is the force on the spring gauge needed to move the object (Newtons), and D is the distance moved. If 4 you measured your distance on the ruler in centimeters then remember to divide by 100 to make sure you are in the right units. W = (F * D) / 100 9. Calculate the coefficient of static friction and record it on your worksheet. µ= f / (9.8 * W) where µ is the coefficient of static friction, W is the weight of the object in kilograms and f is the force on the spring scale needed to move the book in Newtons. 10. Drag the book again for 1 meter but this time over the rug of the classroom. 11. Repeat steps 1-10 using the thin rods, thick rods, and the toy wooden carts (Figure 2). Figure 2: Picture of friction activity supplies: wooden rods and toy karts. 12. Calculate the power on your worksheet P=W/t Where P is the power required to move the object in Watts, W is the work done on the object in Newton-meters and t is the time needed to move the object in seconds. 13. Based on the work calculated on your worksheet which was the most efficient method for moving the book? Now students will get a chance for the fun activity of moving the instructor across the room. 1. Each group of students will line their track over 5 meters. Students can choose to use the wooden karts, the rods, or a combination of everything. 2. The instructor will then balance himself on top of the wooden plank which will be on top of the group’s track. 5 3. Instructor will be placed at the starting position. 4. Instructor will be moved across 5 meter distance while the students record the time and force required to move. 5. Students will determine which method was the best way to move the instructor across the room. Table 1: Work done by wheel and axle table. Trial Surface Distance (m) No Medium Wood Table 1 No Medium Carpet 1 Thin Rods Wood Table 1 Thin Rods Carpet 1 Thick Rods Wood Table 1 Thick Rods Carpet 1 Toy Karts Wood Table 1 Toy Karts Carpet 1 Teacher Carpet 5 Weight of the book and plus medium (kg) Force (N) Coeff Work of (N-m) Static Friction Time (sec) Power (Watts) Safety Issues When the instructor is being pushed along the track it is possible that he could fall. Make sure to completely clear the area of any items. Troubleshooting Tips Make sure all the students are using the correct units especially when using the spring scale. This will make the calculations a lot easier. 6 Assessment Pre-Activity Assessment Title: Class discussion Before starting the activity ask the students why they think cars use round tires to move and whey the tires are made out of rubber? Ask the students the definition of friction. Activity Embedded Assessment Title: Filling out the table During the activity students will have to record their values for weight, force, and time on the table provided. From these values the students will have to calculate work, power and the coefficient of static friction. The completion of the table will give the teacher a gauge on the level of progress and understanding. Post-Activity Assessment Title: Homework assignment Ask the students to write short answers for the questions that were asked during the class discussion. In addition ask the students why the wheels made it easier for the object to move. What two things will give you a higher coefficient of static friction? (weight and roughness) Based on the work and power calculations which medium was the best to move the book? References Owner Drexel University GK-12 Program Contributors Mr Manuel Figueroa, PhD Candidate, School of Biomedical Engineering, Drexel University Ms Evelyn Cruz, Robotics Technology Teacher, Roberto Clemente Middle School, School District of Philadelphia Copyright Copyright 2008 Drexel University GK-12 Program. Reproduction permission is granted for nonprofit educational use. 7