# Angular velocity

the time rate of change of angular position of a rotating body, usually expressed in radians per second or radians per minute.

Historical *Examples*

The angular velocity of the shaft is proportional to the rate of working.

Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 9 Various

Let α be the angular velocity of rotation, R the radius of the disk.

Encyclopaedia Britannica, 11th Edition, Volume 14, Slice 1 Various

Strob, strob, n. the angular velocity of one radian per second.

Chambers’s Twentieth Century Dictionary (part 4 of 4: S-Z and supplements) Various

Descending, they gained in angular velocity as they lost height.

Space Tug Murray Leinster

Then E1 is proportional to the product of the angular velocity, and a certain function of the current.

Scientific American Supplement, Vol. XV., No. 388, June 9, 1883 Various

The angular velocity of the axle corresponding to a speed of seven miles an hour, is 84 revolutions per minute.

Scientific American Supplement, Vol. XV., No. 388, June 9, 1883 Various

The limiting value of the ratio ε/δt is called the angular velocity of the body; we denote it by ω.

Encyclopaedia Britannica, 11th Edition, Volume 17, Slice 8 Various

Either the orbit could not be circular, or else the angular velocity could not be constant about any point whatever.

Kepler Walter W. Bryant

The angular velocity of the revolving field is remarkably uniform.

The New York Subway Anonymous

This angular velocity cannot be any portion of the medium of sensible dimensions rotating as a whole.

The World’s Greatest Books – Volume 15 – Science Various

**noun**

the velocity of a body rotating about a specified axis measured as the rate of change of the angle subtended at that axis by the path of the body ω

angular velocity

The rate of change of an angle associated with an object with respect to some reference point. For example, the average angular velocity of an object moving around a central reference point once every second is 2π radians per second; the Earth spins around its axis with an angular velocity of 2π radians per day. Also called angular frequency.

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