Hertz to radian/sec conversion

Hertz to rad/sec calculator

Enter the frequency in hertz and press the Calc button:

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

Rad/s to Hz conversion calculator ►

Hertz to Radians/Second

The radian per second is the SI unit of angular velocity, commonly denoted by the Greek letter ω (omega). The radian per second is also the SI unit of angular frequency. The radian per second is defined as the change in the orientation of an object, in radians, every second. To convert a hertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio.

Since one hertz is equal to 6.283185 radians per second, you can use this simple formula to convert:

radians per second = hertz × 6.283185

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

For example

here's how to convert 5 hertz to radians per second using the formula above.

5 Hz = (5 × 6.283185) = 31.415927 rad/s

The following formula can also be used to convert the angular frequency in radians per second to frequency in hertz:

ω = 2πƒ

In other words, the angular frequency ω in radians per second is equal to 2 times pi times the frequency ƒ in hertz.

Hertz and radians per second are both units used to measure frequency.

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

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.

 

Rad/s to Hz conversion calculator ►