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A body rotates about a fixed axis wilth ...

A body rotates about a fixed axis wilth an angular acceleration of one radian/second/second. Through what angle does ilt rotate during the time in which its angular velocity increases from 5 rad/s to 15 rad/s.

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The correct Answer is:
A, D

`alpha=1rad/s^2, omega_0=5rad/s, omega=15 rad/s
`:. Omega=omega_0+at`
`rarr t=(omega-omega_0)/alpha`

`=(15-5)/1=10sec`
`Also theta=omega_0t+1/2alphat^2`
`=5xx10+1/2xx1xx100`
`=50+50=100rad`
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