rad/s to Hz Converter

How to convert radians per second to hertz?

To convert radians per second to hertz, divide the angular frequency by 2π (approximately 6.28318530718). This converts angular frequency (rotational speed) to regular frequency (cycles per second).

f_(Hz) = ω_(rad/s) / 2π

Example

Convert 6.28318 radians per second to hertz:

How many hertz in a radian per second?

There are approximately 0.159154943092 hertz in one radian per second.

1rad/s = 1/(2π) Hz ≈ 0.159155Hz

How many radians per second in a hertz?

There are 2π radians per second in one hertz.

1Hz = 2π rad/s ≈ 6.283185 rad/s

What is the difference between rad/s and Hz?

Radians per second (rad/s) measures angular frequency - the rate of rotation in radians. Hertz (Hz) measures regular frequency - the number of complete cycles per second. They're related by the factor 2π because one complete cycle equals 2π radians.

Why convert rad/s to Hz?

Converting rad/s to Hz is needed for compatibility with electronic systems, signal processing applications, and when working with equipment that uses hertz as the standard frequency unit.

Radians per second to hertz conversion table