# Convert Hertz to Radians Per Second

Enter the frequency in hertz below to get the value converted to radians per second. ## How to Convert Hertz to Radians Per Second To convert a hertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio. One hertz is equal to 6.283185 radians per second, so use this simple formula to convert:

radians per second = hertz × 6.283185

The frequency in radians per second is equal to the hertz multiplied by 6.283185.

For example, here's how to convert 5 hertz to radians per second using the formula above.
5 Hz = (5 × 6.283185) = 31.415927 rad/s

The following formula can also be used to convert the angular frequency in radians per second to frequency in hertz:

ω = 2πƒ

In other words, the angular frequency ω in radians per second is equal to 2 times pi times the frequency ƒ in hertz.

## Hertz

Hertz is formally defined as the frequency equalling one cycle per second.

The hertz is the SI derived unit for frequency in the metric system. Hertz can be abbreviated as Hz, for example 1 hertz can be written as 1 Hz.

Frequency in hertz can be expressed using the formula: Hz = CyclesTimes

Radians per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in radians per second.

## Hertz to Radian Per Second Conversion Table

Hertz measurements converted to radians per second