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 74.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 8.00 cm in diameter. Rear sprocket Pedal crank 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? O diameter of front sprocket O diameter of wheels O angular rate O length of pedal cranks O diameter of rear sprocket O none of these

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 74.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 8.00 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?
O diameter of front sprocket
diameter of wheels
O angular rate
O length of pedal cranks
O diameter of rear sprocket
O 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 74.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 8.00 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? O diameter of front sprocket diameter of wheels O angular rate O length of pedal cranks O diameter of rear sprocket O none of these
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