While the unit most compatible with the SI (in the sense of simplifying mathematical formulae) would be radians per second, not only the U.S. but other parts of the world commonly use revolutions per minute.
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To calculate angular momentum, you need the object's moment of inertia (a measure of its mass distribution), its rotational velocity, and the object's shape. The formula for angular momentum is L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
The SI unit for average velocity is meters per second (m/s). It represents the change in position of an object over a given time interval.
The customary unit of capacity for a bathtub is gallons.
It is a customary unit.
The second is a standard unit in both the ancient and modern systems.