00:01
All right, we've got a car, and it accelerates to 270 kilometers per hour.
00:16
In a semicircular arc, the radius is 220 meters.
00:25
What are the tangential and radial accelerations halfway through the arc? okay.
00:35
Well, this assumes constant tangential acceleration.
00:45
All right.
00:53
So the total distance is going to be pi times r.
01:05
So, v is going to equal, or v squared, is going to equal v initial square, plus 2a, d.
01:36
So, v.
01:47
So wait a minute.
01:49
The acceleration is going to be v squared over 2d.
02:07
Okay.
02:09
So now the velocity halfway.
02:22
Let me think about this again.
02:25
It goes a distance of pi r and reaches that velocity.
02:37
All right.
02:37
Well, let me put this in a calculator.
02:43
V is to 70.
02:47
R is 220.
02:52
But i'm going to convert this to meters per second.
02:55
There's 1 ,000 meters in a kilometer, and there's 3 ,600 seconds in an hour.
03:05
So it's 270 times 1 ,000 divided by 3 ,600.
03:13
Okay, that gives me 75 meters per second.
03:19
And then 220 meters.
03:21
Okay, so d equals pi r.
03:25
And now a is v squared over 2d.
03:34
So that's going to be 4 .07 meters per second squared.
03:48
Okay, halfway around, d is going to be pi r over 2.
04:10
So v halfway around is going to be 2a, times pi r over two, which would just be pi a .r.
04:34
So v1 is iar...