Question

A body rotates at 300 rotations per minute.The value in radian of the angle described in 1 sec is:

• A. 5
• B. $5\pi$
• C. 10
• D. $10\pi$

Answer 1

The correct option is D $10\pi$

Angular velocity, $\omega =300$ $rpm$

$⟹\omega =\frac{300}{60}=5$ $rps$

$⟹\omega =5\times 2\pi$

$⟹\omega =10\pi$ $rad/s$

Angle, $\theta =\omega t$

$⟹\theta =\omega t$

$⟹\theta =10\pi \times 1$

$⟹\theta =10\pi$ $radians$