Question

The shaft of a motor rotates at a constant angular velocity of 3000 RPM. The radians it has turned in 1 sec are:

• A. $1000\pi$
• B. $100\pi$
• C. $\pi$
• D. $10\pi$

Answer 1

The correct option is B $100\pi$

Given that

Angular velocity, $\omega =3000rev/min=6000\pi radian/min$

$⟹$ It turns $6000\pi$ radians per $60$ secs

The radians it has turned in $1$ sec are, $=\frac{6000\pi }{60}=100\pi$