0:00
Hello.
00:02
So this question is incomplete but i'm assuming that you are finding the angular momentum and the talk.
00:15
So let's try and find the angular momentum first.
00:19
So the angular momentum i will be equal to the moment of inertia of the center of mass times the angular velocity.
00:31
So let's first talk about how to get the moment of initial.
00:36
So, talk equals the momentum of inertia times the angular acceleration.
00:51
Now, icm is equal to m r squared, and the mass of the proton and the radius squared.
01:03
The mass of a proton is 1 .67 times 10 to the negative 27 times the radius.
01:15
And the question was 0 .4 kilometers.
01:20
That's 0 .4 times the entity third squared.
01:30
So we have 1 .67 aspen negative 27, right? times 0 .4 times 10 square so that's going to be equal to 2 .672.
02:00
2 times 10 to the negative 22 kiva middle squared.
02:14
So we have the element of nature or the center of mass.
02:19
Now we need the angular velocity.
02:22
So that omega is v over r.
02:27
The velocity is 4 .8 times 10 to the 6 plus 4 .8 times 10 to the 6 over the radius again.
02:42
And we'll be 0 .4, 1010 .3.
02:48
So let's look at our angular velocity, 0 .8, divided by, that is just 400.
03:06
That's going to be 12 ,000, radiance per second.
03:15
And just add the unit, right? okay, now let's get alpha because we're going to need it.
03:33
So alpha, which is the angle acceleration, is d omega over the t.
03:45
That is 12 .00 divided by the time.
03:53
It was 0 .07.
03:59
So this divided by 0 .7, that's going to be 171, 471, 42 .86...