What is the angular velocity of the second hand of a clock, in radians per second?

1 Answer
Feb 2, 2018

Its angular velocity is #pi/30# radians per second (about 0.105 radians/s.

Explanation:

Think of it like this:

There are #2pi# radians in one complete rotation, and that takes the second hand 60 seconds to complete.

So, the rate of rotation (the angular velocity) is

#2pi#/60 = pi/30 radians per second# which is about 0.105 radians per second.