Given that the chain does not slip or stretch. The front sprocket has a 10 cm (.

Question

Given that the chain does not slip or stretch. The front sprocket has a 10 cm (.1 m) radius. The rear sprocket has a 2.0 cm (.02 m) radius. A rider is pedaling the bicycle so that the initial angular speed of the front sprocket is 5.9 rad/s.

A) Find the angullar speed of the rear sprocket

Found by using the tangental velocity

29.5

B) How many revolutions must the front sprocket make for each complete revolution of the rear sprocket?

found by using the ratio 5.9//29/5 ~ 1/5 or .2 revolutions.

C) What anguluar acceleration should be applied to the front sprocket to double the angular speed of the rear sprocket?

How can I relate the information I have to find angular acceleration with no given time?

D) How much time is required to double the speed of the rear rocket?

Explanation / Answer

A)

angular speed = 5*5.9 = 29.5 rad/s

B)

1/5 = 0.2 ravolutions

C)

yes time is required for this question to solve

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