00:01
Alrighty, so let's write what we know.
00:03
We know that the radius is 14 inches, and we know that this angular velocity is 0 .5 radians per second.
00:16
Okay, so first we want to find the linear velocity, which is just equal to the radius times the angular velocity.
00:26
So that is simply 14 times 0 .5, which in this case will be 7 inches per second.
00:39
Okay, simple enough.
00:40
Now to get it in revolutions per minute to get our angular velocity in those units, what we're going to need to do is take that 0 .5 and to convert it from radians to revolutions, we're going to have to divide by 2 pi, 2 pi radians in one revolution.
01:01
And then we multiply by 60 to get the seconds into minutes and we find that that is approximately 4 .77 revolutions per minute...