Lab10.docx

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2111

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Physics

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Feb 20, 2024

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Lab 10 Rotational and Translational Variables Physics 2111 Introduction: In this lab look at the relationship between translational and rotational variables. Activity 1: Setup 1) If this is the first time you have access Pivot, you’ll need to join the class by going to https://app.pivotinteractives.com/join-class?classKey=ck-91d16388 . Click “Confirm”. 2) If this is not the first time you’ve used Pivot, just go to: to https://www.pivotinteractives.com/ and sign in. The “Class Key” for our course is “ck-91d16388”. (Note, every time you “join a class”, it uses up a “seat”. We have a limited number of seats, so please don’t join multiple times .) 3) The select the assignment called “Bicycle Drivetrain” 4) You should see a photo like the one below. 5) Click the “Tools Bar” icon in the upper right-hand corner and you should see icons for stopwatch, a ruler and protractor. 6) Click the “Hints/Help” icon in the upper left-hand corner and you see some hints on how to use the tools. Activity 2: Taking Data 1) Using the tools provided, determine how long it takes the larger front gear to rotate through a certain angle and fill in the first two columns of Table 1. Hints: a. You can reset the stopwatch so that t=0 when you start your analysis. b. You can change the size of your protractor. c. You can tilt your ruler. d. There are three dots on the chain, a yellow dot, a red dot and white dot. e. The larger front gear is attached directly to the pedals. By measuring the rotation of the pedals, you are measuring the rotation of the front gear. Page 1
f. The smaller rear gear is attached directly to the tire. By measure change in angle of the tire, you are measuring change in angle of the rear gear. g. There is an easily seen value stem on the rear tire. Data from Large Front Gear Data from Small Rear Gear Δ Time Δ Angle For Gear Δ Distance For Chain Δ Time Δ Angle for Gear Δ Distance for chain 0.5042 3.49rad 0.29m 0.5042 7.24rad 0.29m 2) Advance your video until the white dot on the chain has just left contact with the lower edge of the large gear. 3) Advance your video so the that white dot moves approximately 22 to 30cm. Record the change in angle for the gear, the change in time and the exact distance the white dot moved in the first three columns of table 1. a. Note: You can start or stop your period on easily identifiable situations. E.g. You can start when the pedal is exactly horizontal or end when the white dot has moved exactly 30cm. 4) Rewind your video until the white dot is in approximately the same position as it was at the beginning of step (2). 5) Repeat Step (3) for the smaller rear gear, filling in the right three columns in table 1. v chain ω r v tan Page 2
Front Gear 0.58 6.92rad/s 0.07m 0.48 Back Gear 0.58 14.36rad/s 0.03m 0.43 6) Measure the radius of each gear. 7) Using these radii and your data from table 1 fill in table 2. Page 3
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Activity 3: ω vs time. 1) Advance your video, until the value stem of the rear wheel is at the same level as the axle of the rear wheel. Revolution number Time to complete revolution Total Time Rotating ω 1 0.6875 0.6875 9.14 2 0.4958 1.1833 12.67 3 0.4250 1.6083 14.78 4 0.4000 2.0083 15.71 5 0.3750 2.3833 16.76 6 0.3542 2.7375 17.74 Page 4
2) Determine the amount of time it takes for the wheel to complete one revolution and fill in the first row of table 3. Complete timing revolutions and filling in the table until the video is complete. 3) Using your data from Table 3, create a ω vs time plot in Excel. Past your graph below. (Note: Save this plot. You will need for Activity 5.) Instructors Check: Log into Zoom and show your plot and Table 2 to your instructor. 2:30 pm Activity 4: Analysis for Activity 2 1) How is the translation velocity of a point in the outer edge of the large gear related to the translational velocity of a point on the smaller gear? The translational velocity of the large gear is almost twice as smaller than the translational velocity of the smaller gear. 2) How is the translational velocity of points on the edge of the two gears related to the linear velocity of a point on the chain as it travels between the two points? Vchain is the same/similar as the translational velocity. 3) Create formula that shows the relationship the rotational velocity of the two gears and the radius of the two gears. Vtan = w x r Page 5
4) If this bicycle were on the ground in a normal position and the smaller rear gear had the rotational velocity you calculated in table 2, what would be the speed of the bike? 0.43m/s Activity 5: Analysis for Activity 3 1) What does the shape of the ω vs time plot you created in activity 3 tell you about the rotation velocity, ω , of the rear wheel? Increasing velocity shows that the rotational velocity of the rear wheel increases as time passes. 2) Using the tools available in Excel, approximate the angular acceleration, α , of the rear wheel. Give its value here and explain how you calculated it. 4.196rad/s^2 = (Final angular velocity – Initial angular velocity)/(Change in time from final velocity to initial velocity) Page 6
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