00:01
Hello, here a drill accelerates from rest to a constant rotational speed of omega which is 50 radians per second and it rotates through the angular displacement of 1 .57 radians.
00:19
So that's the displacement.
00:27
We have to find angular acceleration of this drill.
00:40
So to find this angular acceleration we have to determine the following.
00:45
Let's find angular distance.
00:47
This angular distance is the displacement phi plus 2 pi times k where k is integer.
01:02
Then that equals to 2 pi k plus 157 radians.
01:12
Now let's calculate it.
01:22
That's 6 .28 k plus 1 .57 radians and then alpha can be found as following.
01:36
On the other hand this angular distance is omega squared divided by 2 alpha.
01:46
Then alpha is omega squared over 2 angular accelerations.
02:08
And here it will be now we basically might have several solutions because k is just the integer number.
02:19
Then we have to let's solve it a little bit differently...