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+1 vote
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in Physics by (51.8k points)
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A wheel is free to rotate about its own axis. It starts from rest and has an angular acceleration.

α = a - bt

a and b are constants. The number of revolutions it makes before it momentarily comes to rest and begins to rotate in a direction opposite to the earlier is

(1) a/b

(2) 2a/b2

(3) 2a3/b2

(4) a3/3πb2

1 Answer

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by (52.2k points)
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Best answer

(4) a3/3πb2

The wheel has a non-uniformly acceleration motion. Given

ω = 0 at t = t1 , when wheel is momentarily at rest. Obvisouly t= 2a/b . Let θ be the angular displacement of wheel. We have

The number of revolutions 

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