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As shown in the figure, wheel A of radiu...

As shown in the figure, wheel A of radius `r_(A)=10cm` is coupled by a belt B to the whell C of radius `r_(C)=25cm`. The angular speed of wheel A is increased from rest at a constant rate of `"1.6 rad s"^(-2)`. Time after which wheel C reaches a rotational speed of 100 rpm, assuming the belt does not slip, is nearly

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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