Question

Express the angular velocity of 60 rpm (revolutions per minute) in units of radians per second (rad/s).

Answer 1

Good morning!


We have that:

60 rpm = 60 rot / min = 60 rot / 60 s = 1 rot/s

However, 1 rot/s = 1 Hz

So, we have a frequency of f =1 Hz.

We know that:


`\mathsf{\omega = 2\pi f}\\ \\ \mathsf{\omega = 2\pi 1}\\ \\ \boxed{\mathsf{\omega = 2\pi\ rad/s}}`