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Question

The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 radian during the first second. Find the angle rotated during the next second.


A

10 rad

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B

7.5 rad

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C
5 rad
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D

12.5 rad

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Solution

The correct option is B

7.5 rad


As the angular acceleration is constant, we have

θ = ω0t + 12αt2 = 12αt2

Thus, 2.5 rad = 12 α (1s)2

α = 5 rad/s2

or α = 5 rad/s2

The angle rotated during the first two seconds is

= 12×(5rads2)(2s)2 = 10 rad.

Thus, the angle rotated during the 2nd second is 10 rad - 2.5 rad = 7.5 rad.


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