00:01
Hello, here a knob car is a traveling circle trajectory with a constant speed.
00:08
And the length of abc is 206 meters and that is one quarter of the circle.
00:20
And the car completes this turn in 30 seconds.
00:29
Therefore that is t over 4 or one quarter of the period of the rotation.
00:39
In question a, we have to find acceleration when angle is 35.
00:47
So let's make the sketch.
01:03
So at the given point, acceleration is directed to the center.
01:12
And therefore, we have to split it into two components.
01:16
So the first component is horizontal, which is ax, and the second component is vertical, ay.
01:26
So we need to determine the sentry pedal acceleration itself.
01:29
And here, first of all, we have to determine the radius.
01:34
So, distance l of abc is quarter of the turn or quarter of the circle.
01:44
That's why it equals to pi, that equals to 2 pi r over 4, which is pi r over 4.
01:57
Then the radius is 4l over pi.
02:02
So meanwhile, meanwhile the period equals to 4t.
02:14
And that's why centripetal acceleration ac is omega squared times radius, which is 2 pi over t squared times radius...