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Wheel A of radius r(A)=10cm is coupled b...

Wheel `A` of radius `r_(A)=10cm` is coupled by a belt `C` to another wheel of radius `r_(B)=25 cm` as in the figure. The wheels are free to rotate and the belt does not slip . At time `t=0` wheel `A` increases it's angular speed from rest at a uniform rate `pi//2 rad //sec^(2)` Find the time in which wheel `B` attains a speed of `100 rpm [ ` Hint `: v_(A)=v_(B)]`

A

4 s

B

8 s

C

12 s

D

16 s

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The correct Answer is:
D
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