Another math problem :(

If a wheel rotates at a rate of 4 revolutions per second, find the number of radians the wheel rotates every minute...please explain how you've achieved your answer...thanks :)

4 r/s = 4*60 r/ minute
= 240 r/m
= 240*2pi radian/m
= 480pi rad/m
= 1508.57 radian per minute
Answer

Well if 1 revolution = 6.3 radians

there's 4 per second 6.3x4= 25.2

do 25.2 x 60 and you get 1512

1 revolution = 2pi radians = 360 deg
4 revolutions in one second = 8 pi radians
no of radians in 1 minute , (60 seconds ) = 60 X 8 pi = 480 pi radians

one radian is 57.2957 degrees....
that 4 turns per second.....60 turns per minute
so 240 X 360 degrees
86400 degrees/57.2957
1508 radians

4 rps = 4*60 rpm = 240 rpm = 240*2pi rad/m = 480pi rad/m