# Radians per Second to Cycles per Second Converter

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

## Result in Cycles per Second:

Do you want to convert cycles per second to radians per second?

## How to Convert Radians per Second to Cycles per Second

To convert a measurement in radians per second to a measurement in cycles per second, multiply the frequency by the following conversion ratio: 0.159155 cycles per second/radian per second.

Since one radian per second is equal to 0.159155 cycles per second, you can use this simple formula to convert:

cycles per second = radians per second × 0.159155

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

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

### How Many Cycles per Second Are in One Radian per Second?

There are 0.159155 cycles per second in one radian per second, which is why we use this value in the formula above.

## What Are Radians per Second?

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

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.[1] For example, rad/s is expressing a change in angle relative to a change in time.

## What Are Cycles per Second?

Cycles per second are a measure of the number of oscillations, or cycles, that occur per second.

Cycles per second can be abbreviated as cps, and are also sometimes abbreviated as c/s or cycles/second. For example, 1 cycle per second can be written as 1 cps, 1 c/s, or 1 cycles/second.

Cycles per second can be expressed using the formula: cps = Cycles / Times

## Radian per Second to Cycle per Second Conversion Table

Table showing various radian per second measurements converted to cycles per second.
Radians Per Second Cycles Per Second