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Q.

A wheel is rotating with uniform angular acceleration covers 50 revolutions in the first five seconds after the start. The angular acceleration of the wheel is

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a

3rev/s2

b

4rev/s2

c

7rev/s2

d

2rev/s2

answer is C.

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Detailed Solution

 initial angular velocity ω1=0

 Angular acceleration =α

 Time taken t=5s

 Angular displacement θ=50rev

We know

θ=ω1t+12αt2

⇒50=12×α×52⇒α=4rev/s2

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