00:01
In this problem, we're told that the angular speed of a point on a planet is 7 pi over, and i apologize, this should be 7 pi over 8, radiance per hour.
00:08
And we know that the radius or the equator lies on a circle that has a radius that's approximately 5 ,000 miles.
00:14
What we want to do is to find the linear velocity in miles per hour.
00:18
Well, remember, to find the angular velocity, what we do is we take the linear velocity and divided by the radius.
00:24
And notice that in this particular formula, our units are in terms of radiance per our time.
00:28
So if we wanted to define the linear velocity, we would just multiply both sides by r.
00:33
So the linear velocity will equal to r times our angular velocity.
00:38
So now we can go ahead and substitute in our values...