### Angular speed

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In physics, **angular frequency** ω (also referred to by the terms **angular speed**, **radial frequency**, **circular frequency**, **orbital frequency**, **radian frequency**, and **pulsatance**) is a scalar measure of rotation rate. Angular frequency (or angular speed) is the magnitude of the vector quantity *angular velocity*. The term **angular frequency vector** $\backslash vec\{\backslash omega\}$ is sometimes used as a synonym for the vector quantity angular velocity.^{[1]}

One revolution is equal to 2π radians, hence^{[1]}^{[2]}

- $\backslash omega\; =\; ,$

where

*k*is the spring constant*m*is the mass of the object.

ω is referred to as the natural frequency (which can sometimes be denoted as ω_{0}).

As the object oscillates, its acceleration can be calculated by

- $a\; =\; -\; \backslash omega^2\; x\; \backslash ;\; ,$

where x is displacement from an equilibrium position.

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

- $a\; =\; -\; 4\; \backslash pi^2\; f^2\; x\backslash ;\; .$

### LC circuits

The resonant angular frequency in an LC circuit equals the square root of the inverse of capacitance (C measured in farads), times the inductance of the circuit (L in henrys).^{[5]}

- $\backslash omega\; =\; \backslash sqrt\{1\; \backslash over\; LC\}$

## See also

## References and notes

**Related Reading:**

## External links

ca:Freqüència angularfr:Vitesse angulaire