Question

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

Answer 1

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.