Question

A wheel starting from rest gains an angular velocity of $10$ rad/s after uniformly accelerated for $5$ sec. The total angle through which it has turned is

• A. 25 rad
• B. 100 rad
• C. 25 $\pi$ rad
• D. 50 $\pi$ rad about a vertical axis

Answer 1

Answer: (A)

25 rad

Answer 2

$\omega_{1}=0$ $\omega_{2}=10 \frac{ rad }{ sec } t=5 \,sec$ $\theta=\frac{\omega_{1}+\omega_{2}}{2} \times t$ $=\frac{10}{2} \times 5=25 \,rad$