# Cycles Per Second to Radians Per Second Conversion

Enter the frequency in cycles per second below to get the value converted to radians per second. ## How to Convert Cycles Per Second to Radians Per Second

To convert a cycle per second measurement to a radian per second measurement, multiply the frequency by the conversion ratio. One cycle per second is equal to 6.283185 radians per second, so use this simple formula to convert:

radians per second = cycles per second × 6.283185

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

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

## 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 = 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.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

## Cycle Per Second to Radian Per Second Conversion Table

Cycle per second measurements converted to radians per second
Cycles Per Second Radians Per Second