The figure above 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 8.00 cm in diameter.
(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
Homework Answers
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The figure above shows the drive train of a bicycle that has
wheels 67.3 cm in...
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An 15-cm-long bicycle crank arm, with a pedal at one end, is attached to a 21-cm-diameter...
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An 15-cm-long bicycle crank arm, with a pedal at one end, is attached to a 21-cm-diameter sprocket, the toothed disk around which the chain moves. A cyclist riding this bike increases her pedaling rate from 64 rpm to 95 rpm in 10 s. What is the tangential acceleration of the pedal? What length of chain passes over the top of the sprocket during this interval?
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An 19-cm-long bicycle crank arm, with a pedal at one end, is attached to a 21-cm-diameter sprocket, the toothed disk around which the chain moves. A cyclist riding this bike increases her pedaling rate from 63 rpm to 93 rpm in 11 s. What is the tangential acceleration of the pedal? Express your answer to two significant figures and include the appropriate units. What length of chain passes over the top of the sprocket during this interval? Express your answer...
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