# 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.

Since one cycle per second is equal to 6.283185 radians per second, you can 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