Angular velocity and linear velocity

While I was watching the bags on the carousel, I've thought about the rate of speed they have. I've decided that it is easy to find; all you need to do is measure their revolutions per minute (n) and the carousel radius (R).

With revolutions per minute one can find angular speed - one revolution changes the angle by radians, thus per minute it is radians, and per second it is radians.

Radians per second are the angular velocity . Linear velocity is trivial, 1 radian corresponds to arc with length of radius, thus

Angular velocity and linear velocity

Revolutions per minute

Radius, meters

Calculation precision

Digits after the decimal point: 2

Calculate

Angular velocity (radians per second)

 

Linear velocity (kms per hour)

 

Linear velocity (meters per second)

 

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