Convert Hertz (Hz) to Radians per second (rad/s)
Enter a value below to convert Hertz (Hz) to Radians per second (rad/s).
Conversion:
1 Hertz (Hz) = 6.2831853072 Radians per second (rad/s)
How to Convert Hertz (Hz) to Radians per second (rad/s)
1 hz = 6.2831853072 radps
1 radps = 0.15915494309 hz
Example: convert 15 Hertz (Hz) to Radians per second (rad/s):
25 hz = 157.07963268 radps
Hertz (Hz) to Radians per second (rad/s) Conversion Table
| Hertz (Hz) | Radians per second (rad/s) |
|---|---|
| 0.01 hz | 0.062831853072 radps |
| 0.1 hz | 0.62831853072 radps |
| 1 hz | 6.2831853072 radps |
| 2 hz | 12.566370614 radps |
| 3 hz | 18.849555922 radps |
| 5 hz | 31.415926536 radps |
| 10 hz | 62.831853072 radps |
| 20 hz | 125.66370614 radps |
| 50 hz | 314.15926536 radps |
| 100 hz | 628.31853072 radps |
| 1000 hz | 6283.1853072 radps |
Hertz (Hz)
Definition
A hertz (Hz) is the SI unit of frequency, defined as one cycle per second. It measures how often a periodic event occurs in one second.
History
The hertz was named after Heinrich Hertz, the German physicist who first proved the existence of electromagnetic waves in 1887. The unit was officially adopted by the CGPM in 1960, replacing the earlier term 'cycles per second' (cps).
Current use
Hertz is universally used to measure frequency in electronics, telecommunications, acoustics, and physics. Clock speeds, radio frequencies, sound pitch, and alternating current are all expressed in hertz or its multiples.
Radians per second (rad/s)
Definition
Radians per second (rad/s) is the SI unit of angular velocity, measuring the rate of rotation in radians. One full rotation equals 2π rad/s, which corresponds to approximately 6.2832 rad/s.
History
Radians per second emerged from the mathematical definition of the radian in the 18th century. It became the preferred unit in physics and engineering because it simplifies formulas involving rotational dynamics and wave mechanics.
Current use
Radians per second is the standard angular velocity unit in physics, mechanical engineering, control systems, and signal processing. It is used in motor specifications, oscillation analysis, and rotational dynamics calculations.