18. Figure P10.18 shows the drive train of a bicvcle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Calculate (a) the speed of a link of the chain relative to the bicycle frame, (b) the angular speed of the bicycle wheels, and (c) the speed of the bicycle rela- tive to the road. (d) What pieces of data, if any, are not necessary for the calculations? Rear sprocket Pedal crank Front sprocket Chain Fiqure P10.18

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 28PQ: We do not need the analogy in Equation 16.30 to write expressions for the translational displacement...
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18. Figure P10.18 shows the drive train of a bicvcle that
has wheels 67.3 cm in diameter and pedal cranks
17.5 cm long. The cyclist pedals at a steady cadence of
76.0 rev/min. The chain engages with a front sprocket
15.2 cm in diameter and a rear sprocket 7.00 cm in
diameter. Calculate (a) the speed of a link of the chain
relative to the bicycle frame, (b) the angular speed of
the bicycle wheels, and (c) the speed of the bicycle rela-
tive to the road. (d) What pieces of data, if any, are not
necessary for the calculations?
Rear
sprocket
Pedal crank
Front sprocket
Chain
Fiqure P10.18
Transcribed Image Text:18. Figure P10.18 shows the drive train of a bicvcle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Calculate (a) the speed of a link of the chain relative to the bicycle frame, (b) the angular speed of the bicycle wheels, and (c) the speed of the bicycle rela- tive to the road. (d) What pieces of data, if any, are not necessary for the calculations? Rear sprocket Pedal crank Front sprocket Chain Fiqure P10.18
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