00:01
A cyclist is riding a bicycle whose wheels have a diameter of 24 inches and suppose the wheel turn at the rate of 202 revolution per minute.
00:09
So we need to find a first of the angular speed in radiant per second and the speed of the cyclist in miles per hour.
00:14
Okay.
00:15
All right.
00:18
So for a, we are actually already given the angular speed but that is in terms of revolution per minute.
00:24
So we need to convert revolution per minute into radiant per minute.
00:29
And we know that one revolution has one complete circle and one complete circle is 2 pi radiance.
00:35
So we just multiply this with 2 pi to convert this into radiance and per minute remains as it is.
00:43
So the answer is 280 times 2 pi and we have to round to the as i read it to the nearest whole number.
00:53
So this is coming as 1759 radian per minute to the nearest whole number.
00:59
That's the answer to part a.
01:02
And then they are asking about part b, which is the speed.
01:05
So we know the relation between speed and the angular speed that is v is equal to omega r.
01:10
We already know the omega that is 1759...