00:01
Hello, let's break down the calculations step by step for both scenarios for question one and two.
00:05
So i've ran out actually all the equations that we're going to need to use.
00:09
And now we can just plug in the given values that have been given to us and we can continue from there.
00:14
So for step a, we're looking for the angular velocity, which i've given the formula with w equals v over r, where v is the linear velocity and r is the radius.
00:24
And we're going to get it excuse me so we're looking for the initial angular velocity and final angular velocity and we actually use the equation on the left hand side we plug in the values necessary and we have for the initial 21 .28 rads and for the final angular velocity 106 .38 seconds we can move on to momentum of inertia which i've given on the side and it's actually simply equal to 0 .8 kilograms meters squared.
00:52
Now we can find acceleration and we've found our equation that we needed to use and we rearranged to solve for t.
01:01
So now that we have t and a we can solve where a is going to equal 25 squared minus 5 squared over 2 times 100 which is equal to 3 meters per second squared and we can find t which is equal to 2 times 100 100 over 3, which is inside a square root, and that approximately equals to 8 .16 seconds.
01:29
We can find the angular acceleration for part d, and that's simply just the change of w over the change of t, which is now we have t...