The second gives you radians per second (6, a nice round number) and asks you to compute it. You are correct that 6 radians is close to 360 degrees (I didn’t use the same speed in both examples).

Radians are measurements on the unit circle (where radius = 1), so you need to enlarge or shrink it depending on your example. In our case, our radius was 2 meters, so we multiplied by 2 (6 radians per second = 6 * 2 = 12 meters per second. If we had a 1-meter radius, then the speed would be 6 * 1 = 6 meters per second).

@Ajeet: Depending on the example: for 2000 degrees per second, that is about 2000 / 360 = 5.555 rotations per second. For 6 radians per second, that is 6 / (2 * pi) = .95 rotations per second.

You have explained it simple, but i cannot get my head around the Bus example

“The wheels are turning 6 radians per second”. You’d think:

Radians are distance along a unit circle — we just scale by the real radius to see how far we’ve gone. 6 * 2 = 12 meters per second. Next question.

6 radians per second means , 360 degrees per second , right . But that is 2000 degrees per second.
Also i dint get the idea of “scale unit cirlce”.
Sorry to ask , if it is too silly.

Regards
Raju