Question

Shaft of a motor rotates at a constant angular velocity of $3000rpm$. The radians it has turned through in $1s$ is :

• A. $\pi$
• B. $10\pi$
• C. $50\pi$
• D. $100\pi$

Answer 1

The correct option is D $100\pi$

Given, $\omega =3000rpm$

For rotation per second, we have

$\omega =\frac{3000}{60}rps=50rps=50\times 2\pi rad/s$

$=100\pi rad/s$

$\therefore \theta =\omega t=100\pi rad$