00:01
Angular motion describes an object that is moving in circle.
00:04
In this problem, we have a stone that is whirled at the end of a 30 -centimeter long rope makes 10 complete revolution in 2 seconds.
00:12
We want to find for letter a, the angular velocity expressed in regions per second.
00:17
For letter b, the linear speed, and for letter c, the distance that the stone covers in 5 seconds.
00:23
So first is that that is find the angular velocity.
00:27
It is given that it makes 10 revolutions in two seconds so that the angular velocity which we write which we denote with omega is going to be equal to ten revolutions per two second but we want our answer or our angular speed to be in our radiance so we will convert revolutions to radiance by noting that one revolution is two pi radiance so what we will do is to multiply the 10 rev by two pi or 10 by 2 pi so that we get the following.
01:03
So first is that we can do 10 times 2 pi, so that's 20, 20 pi, and then we divide by 2.
01:13
So that will give us 10 pi and the unit is region per second.
01:22
In decimal form, we have 10 pi as 31 .4 and again regions per second is the unit...