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In SI units, angular frequency is measured in radians per second, with dimensions T⁻¹ since radians are dimensionless.

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)

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 . In fact, it is used in many fields of physics involving periodic phenomena, such as quantum mechanics and electrodynamics.

For example:

Using 'ordinary' frequency, this equation would be:

See also

• Frequency
• Angular velocity
• Radian
• PulsationSimple harmonic motion is the motion of a simple harmonic oscillator, a motion that is neither driven nor damped. The motion is periodic and can be described as that of a sine function (or equivalently a cosine function), with constant amplitude. It is ch