Question

find the angular speed ω of the minute hand of a clock.
the angular speed is radian per min.

Explanation:

Step1: Know the rotation of minute - hand

The minute - hand of a clock makes a full rotation (2$\pi$ radians) in 60 minutes.

Step2: Calculate angular speed

The formula for angular speed $\omega=\frac{\theta}{t}$, where $\theta$ is the angular displacement and $t$ is the time. Here, $\theta = 2\pi$ radians and $t = 60$ minutes. So, $\omega=\frac{2\pi}{60}=\frac{\pi}{30}$ radians per minute.

Answer:

$\frac{\pi}{30}$