00:01
Good day.
00:02
The topic is about the relationship between rotational and translational speed.
00:06
Consider an object that is rotating at a certain rotational speed and at the same time it is moving with a certain translational speed.
00:16
So in this case, you see that the object has omega rotational speed and v translational speed.
00:24
Omega pertains to the rate at which the object rotates while v pertains to the rate at the rate at the rate.
00:30
Which the object moves forward.
00:32
The relationship of width of the two is that v is equal to r omega, where v is the average linear speed in meters per second, the r is the distance from the axis of rotation in meters.
00:45
So in this case, we can take your r as the radius of a rotating disk, and your omega is the rotational speed which is expressed in rad per second.
00:58
Now, let us suppose a disk that is rotating at a rate.
01:02
Of 100 revolutions per minute, where that's 100 rpm.
01:07
And the tip of the blade from the center is given to be 5 meters.
01:12
We wish to find the average speed at the tip of the blade and the average velocity after making one revolution.
01:20
So for this, let us establish the equation that we will use, which is v equals our omega.
01:29
Now we recall that omega must be expressed in rad per second.
01:32
However, we are given with a unit of revolution per minute...