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)

${\omega }_1=0$
${\omega }_2=10\frac{rad}{sec}t=5sec$
$\theta =\frac{{\omega }_1+{\omega }_2}{2}\times t$
$=\frac{10}{2}\times 5=25rad$