84.9k views
2 votes
Express the angular velocity of 60 rpm (revolutions per minute) in units of radians per second (rad/s).

User Cosmosis
by
7.9k points

1 Answer

3 votes
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}}
User Eric Elliott
by
7.1k points