A body rotates about a fixed axis with an angular acceleration of 1 rad/`sec^2`. Through what angle does it rotate during the time in which its angular velocity increases from 5 rad/s to 15 rad/s.

Answer

A, D

Explanation

`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`