The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 77.5 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter. Rear sprocket Pedal crank Front sprocket Chain (a) Calculate the speed of a link of the chain relative to the bicycle frame. m/s (b) Calculate the angular speed of the bicycle wheels. rad/s (c) Calculate the speed of the bicycle relative to the road. m/s

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.4P
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The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 77.5 rev/min. The chain engages with a front
sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter.
Rear
sprocket
\Pedal crank
Front sprocket
Chain
(a) Calculate the speed of a link of the chain relative to the bicycle frame.
m/s
(b) Calculate the angular speed of the bicycle wheels.
rad/s
(c) Calculate the speed of the bicycle relative to the road.
m/s
(d) What piece of data, if any, are not necessary for the calculations?
diameter of front sprocket
diameter of wheels
angular rate
length of pedal cranks
diameter of rear sprocket
none of these
Transcribed Image Text:The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 77.5 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter. Rear sprocket \Pedal crank Front sprocket Chain (a) Calculate the speed of a link of the chain relative to the bicycle frame. m/s (b) Calculate the angular speed of the bicycle wheels. rad/s (c) Calculate the speed of the bicycle relative to the road. m/s (d) What piece of data, if any, are not necessary for the calculations? diameter of front sprocket diameter of wheels angular rate length of pedal cranks diameter of rear sprocket none of these
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