Radian/sec to hertz conversion

Rad/sec to hertz calculator

Enter the angular velocity in rad/s and press the Calc button:

Enter frequency in radian per second:		rad/s
Result in hertz:		Hz

Hz to rad/s conversion calculator ►

Radian/Second to Hertz

A radian per second is the SI and CGS unit of rotational speed or angular velocity. The radian per second is also a unit of angular frequency. One radian per second is defined as the change in the orientation of an object by one radian, every second. To convert a radian per second measurement to a hertz measurement, multiply the frequency by the conversion ratio.

Since one radian per second is equal to 0.159155 hertz, you can 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/2π

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 and hertz are both units used to measure frequency. Keep reading to learn more about each unit of measure.

Radians Per Second

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.

Radians per second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.

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

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 = Cycles/Times

 

Hz to rad/s conversion calculator ►