Question

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

• A. 100 rad
• B. 200 rad
• C. 250 rad
• D. 150 rad

Answer 1

The correct option is A 100 rad

Given : $w_i=5rad/s$ $w_f=15rad/s$

Angular acceleration $\alpha =1rad/s^2$

Using $w_f^2-w_i^2=2\alpha \theta$

Or ${15}^2-5^2=2\times 1\times \theta$

$⟹\theta =100rad$