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Angular velocity and linear velocity

This online calculator converts angular velocity to linear velocity for given radius

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 2\pi radians, thus per minute it is 2\pi n radians, and per second it is \frac{2\pi n}{60} radians.

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

PLANETCALC, Angular velocity and linear velocity

Angular velocity and linear velocity

Digits after the decimal point: 2
Angular velocity (radians per second)
 
Linear velocity (kms per hour)
 
Linear velocity (meters per second)
 

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Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Angular velocity and linear velocity

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