00:01
Hi there, so for this problem, we have the radius of this wheel that is 14 inches.
00:08
We are also given that it is rotated, so we are given the angular speed, and that is equal to 36 degrees per second.
00:21
So with that information, we are asked about what is the linear speed.
00:25
Now, remember that the linear speed is just the product between the angular speed and the radius.
00:31
However, we have the radius and inches and the angular speed and degrees per second.
00:49
So in order to obtain the result in inches per second, we need to transform the angular speed from degrees per second to radiance per second.
00:57
So in order to do that, we know that 2 times pi radiance equals to 360 degrees.
01:09
So from doing this product, we obtain a value of approximately 0 .628 radiance per second.
01:26
So once we know this, we just simply substitute that value.
01:31
In here.
01:33
So we will have that the speed, the angular, the linear speed is just 0 .628 radiance per second times the radius, that is 14 inches.
01:51
So by doing this product in here, we obtain a value of 8 .76 inches per second.
02:05
So that's the solution for the first part of this problem.
02:10
Now for the second part of this, we are asked about the angular speed in revolutions per minute.
02:17
So what we need to do is we start with the 36 degrees per second that we are given from the beginning...