# Radians Per Second to Hertz Conversion

Enter the frequency in radians per second below to get the value converted to hertz.

Results in Hertz: ## How to Convert Radians Per Second to Hertz To convert a radian per second measurement to a hertz measurement, multiply the frequency by the conversion ratio. One radian per second is equal to 0.159155 hertz, so use this simple formula to convert:

hertz = radians per second × 0.159155

The frequency in hertz is equal to the radians per second multiplied by 0.159155.

For example, here's how to convert 5 radians per second to hertz using the formula above.
5 rad/s = (5 × 0.159155) = 0.795775 Hz

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

ƒ = ω

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

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

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

## Radian Per Second to Hertz Conversion Table

Radian per second measurements converted to hertz