00:01
Our question says that we have to find moment of inertia, kinetic energy and angular momentum.
00:10
Our angular velocity is 30 rotation per minute.
00:15
We can say 30 multiplied by 2 pi radian divided by 1 rotation.
00:21
Multiplied by 1 minute divided by 60 seconds.
00:24
From here we get 3 .14 radian per second.
00:28
The angle will be theta that is omega t putting values 3 .14 multiplied by 60 is equal to 188 .4955.
00:45
We can say 188 .4 degree.
00:49
Time is equal to theta divided by omega that is 2 pi divided by 3 .14 equals 2 .0 seconds.
00:59
Will be omega f is equal to omega i plus alpha t that is 1 .5 plus 0 .6 multiplied by 4 .5 is equal to 4 .2 radian per second now the angle will be having formula of theta equals omega i t plus half alpha t squared on putting the values 1 1 .5 multiplied by 4 .5 plus half multiplied by 0 .6 multiplied by 4 .5 square.
01:40
From here we get 12 .8 to radian.
01:45
Now formula for moment of inertia of disk is equal i equals capital m r square.
01:55
We'll put the value for the same.
01:58
0 .5 multiplied by 2 multiplied by 5...