Angular Velocity Definition

noun
The rate of change of angular displacement with respect to time.
American Heritage

(mathematics, physics) The angle turned, in a given time, by a body rotating about an axis; the rate of rotation through an angle.

A differential is a device, usually, but not necessarily, employing gears, which is connected to the outside world by three shafts, through which it transmits torque and rotation. The gears or other components make the three shafts rotate in such a way that , where a, b, and c are the angular velocities of the three shafts, and p and q are constants. [...] In automobiles and other wheeled vehicles, a differential allows the driving roadwheels to rotate at different speeds. This is necessary when the vehicle turns, making the wheel that is travelling around the outside of the turning curve roll farther and faster than the other. The engine is connected to the shaft rotating at angular velocity a. The driving wheels are connected to the other two shafts, and p and q are equal.WP.
Wiktionary

Other Word Forms of Angular Velocity

Noun

Singular:
angular velocity
Plural:
angular-velocities

Origin of Angular Velocity

Angular Velocity Sentence Examples

  • The rate at which work is done on a particular axle is measured by the product where T is the torque or turning moment exerted on the axle by the motor or mechanism applied to it for this purpose, and is the angular velocity of the axle in radians per second.

  • We therefore have the fundamental theorem that the angular velocity of the body around the centre of attraction varies inversely as the square of its distance, and is therefore at every point proportional to the gravitation of the sun.

  • A small sphere of the fluid, if frozen suddenly, would retain this angular velocity.

  • With v=o, the angular velocity of the cylinder is 2w; in this way the velocity may be calculated of the propagation of ripples and waves on the surface of a vertical whirlpool in a sink.

  • An angular velocity R, which gives components - Ry, Ix of velocity to a body, can be resolved into two shearing velocities, -R parallel to Ox, and R parallel to Oy; and then ik is resolved into 4'1+1'2, such that 4/ 1 -R-Rx 2 and 1//2+IRy2 is constant over the boundary.

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