00:01
Certain computer hard drive contains a circular disk with a diameter of 2 .5 inches and spins at a rate of 7 ,700 rpms, which is revolutions per minute.
00:12
Find the linear speed of a point on the edge of the disk in miles per hour.
00:17
So we know that there's a relationship here, v equals r omega.
00:24
So let's see what we have.
00:25
We have that omega is 7 ,700 revolutions per minute.
00:30
We're looking for v.
00:31
So i'm going to put that as 7 ,700 revolutions per minute.
00:38
Now, we have the diameter, but our diameter, we need the radius.
00:42
So if we divide that by two, we're going to get our radius to be 1 .25 inches.
00:50
So i'm going to put that as my radius, 1 .25 inches.
00:54
Now, if we multiply that together, then we would have the linear velocity.
00:58
However, it wants the velocity to be in miles per hour.
01:04
So we're going to need to do some conversions.
01:06
So i'm going to take this expression that i just wrote down, move it down here where i have a little more room.
01:13
Now, what we want to do is eliminate some of our units.
01:17
I'm going to start with our time...