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Angular velocity is a measurement of how fast something is turning.
Everyone has heard of "RPM", which stands for "Revolutions Per Minute" ... how many complete turns an object makes in one minute. That's a perfectly good measurement of angular velocity, although in Physics, angular velocity is normally given in different units.
The standard unit for angular velocity is "radians per second".
Each complete turn covers (2 pi) radians (same as 360 degrees). And there are 60 seconds in one minute.
So if you know the RPM, you can multiply RPM by (2 pi / 60) = 0.10472 to get angular velocity in standard units.
An old LP phonograph record (remember those ?) playing at 33-1/3 RPM has an angular velocity of about 3.5 radians per second.
A car engine idling at 1,000 RPM is turning at about 104.7 radians per second.
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