00:01
First, for part a, we should find our linear velocity.
00:02
We know the centriple acceleration is equaling v squared over r.
00:06
And so we can say that the linear velocity would be simply equal to the square root of the product between the centriple acceleration and the radius.
00:15
And so the velocity is going to be equaling the square root.
00:18
The centriple acceleration is equaling 1 .5 times g or 1 .5 times 9 .80 meters per second squared, multiplied by the radius of 15 .0 meters.
00:32
And this is equaling 14 .85 meters per second.
00:38
This would be the linear velocity of the roller coaster.
00:44
Now for part b, we have a diagram here.
00:47
We have the initial height.
00:49
We go through the loop of a radius r.
00:51
And then the loop at the top has a height of h...