Angular frequency is a measure of how fast an object is rotating

In physics (specifically mechanics and electrical engineering), angular frequency ω (also called angular speed) is a scalar measure of rotation rate. Angular frequency is the magnitude of the vector quantity angular velocity. The term angular frequency vector is sometimes used as a synonym for the vector quantity angular velocity . angular velocity File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ... angular velocity File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ... The willingness to question previously held truths and search for new answers resulted in a period of major scientific advancements, now known as the Scientific Revolution. ... Mechanics refers to: a craft relating to machinery (from the Latin mechanicus, from the Greek mechanikos, meaning one skilled in machines), or a range of disciplines in science and engineering. ... Electrical engineering is an engineering discipline that deals with the study and application of electricity and electromagnetism. ... Angular velocity describes the speed of rotation. ... Angular velocity describes the speed of rotation. ...

In SI units, angular frequency is measured in radians per second, with dimensions T⁻¹ since radians are dimensionless. The International System of Units (abbreviated SI from the French phrase, Système International dUnités) is the most widely used system of units. ... In mathematics and physics, the radian is a unit of angle measure. ... The second (symbol s) is a unit for time, and one of seven SI base units. ...

One revolution is equal to 2π radians, hence

where

ω is the angular frequency or angular speed (measured in radians per second),

T is the period (measured in seconds),

f is the frequency (measured in hertz),

v is the tangential velocity of a point about the axis of rotation (measured in metres per second), and

r is the radius of rotation (measured in metres).

Angular frequency is therefore a simple multiple of ordinary frequency. However, using angular frequency is often preferable in many applications, as it avoids the excessive appearance of π. In fact, it is used in many fields of physics involving periodic phenomena, such as quantum mechanics and electrodynamics. In mathematics and physics, the radian is a unit of angle measure. ... The second (symbol s) is a unit for time, and one of seven SI base units. ... A period is an arbitrary interval of time. ... The second (symbol s) is a unit for time, and one of seven SI base units. ... Sine waves of various frequencies; the lower waves have higher frequencies than those above. ... The hertz (symbol Hz) is the SI unit of frequency. ... Velocity (symbol: v) is a vector measurement of the rate and direction of motion. ... Metre per second (U.S. spelling: meter per second) is an SI derived unit of both speed (scalar) and velocity (vector), defined by distance in metres divided by time in seconds. ... RADIUS (Remote Authentication Dial In User Service) is an AAA (authentication, authorization and accounting) protocol for applications such as network access or IP mobility. ... The metre is the basic unit of length in the International System of Units (SI: Système International dUnités). ... Fig. ... Electromagnetism is the physics of the electromagnetic field: a field, encompassing all of space, composed of the electric field and the magnetic field. ...

For example:

Using 'ordinary' revolutions-per-second frequency, this equation would be:

See also

• Frequency
• Angular velocity
• Radian
• Pulsation