00:01
Hello students in this question we have a pulley system.
00:05
This is the pulley.
00:07
This is rotating with a velocity right and the initial angular velocity omega 0 of rotating and there is a bucket in here.
00:17
Ok so omega 0 let's write it here so omega 0 initial angular velocity is equal to 4 radians per second.
00:30
Now what about the angular acceleration alpha is given as 1 .5 radians per second square.
00:37
Now the radius of the pulley is given as 6 .0 .62 feet.
00:46
Now to we need to determine the angular velocity of the angular velocity vector of the pulley and linear velocity vector of the bucket after after three seconds.
01:00
So we can write down that omega will be equal to omega 0 plus alpha t.
01:07
So that is the angular velocity.
01:08
So let's substitute the values here.
01:12
So omega will be equal to omega 0 which is 4 plus alpha is 1 .5 times 3 seconds.
01:19
Right so so that will give you 4 plus 4 .5 that is 8 .5 radians per second square.
01:28
So the second...