Question

A wheel is at rest. Its angular velocity increases uniformly and becomes 60 rad/sec after 5 sec. The total angular displacement is

• A. 600 rad
• B. 75 rad
• C. 300 rad
• D. 150 rad

Answer 1

The correct option is D 150 rad

Angular acceleration $\alpha =\frac{{\omega }_2-{\omega }_1}{t}=\frac{60-0}{5}=12rad/se{c}^2$
Now from $\theta ={\omega }_{1}t+\frac{1}{2}\alpha t^2=0+\frac{1}{2}\left(12\right)(5{)}^2=150rad.$