Convert Radians per second (rad/s) to Hertz (Hz)
Enter a value below to convert Radians per second (rad/s) to Hertz (Hz).
Conversion:
1 Radians per second (rad/s) = 0.15915494309 Hertz (Hz)
How to Convert Radians per second (rad/s) to Hertz (Hz)
1 radps = 0.15915494309 hz
1 hz = 6.2831853072 radps
Example: convert 15 Radians per second (rad/s) to Hertz (Hz):
25 radps = 3.9788735773 hz
Radians per second (rad/s) to Hertz (Hz) Conversion Table
| Radians per second (rad/s) | Hertz (Hz) |
|---|---|
| 0.01 radps | 0.0015915494309 hz |
| 0.1 radps | 0.015915494309 hz |
| 1 radps | 0.15915494309 hz |
| 2 radps | 0.31830988618 hz |
| 3 radps | 0.47746482928 hz |
| 5 radps | 0.79577471546 hz |
| 10 radps | 1.5915494309 hz |
| 20 radps | 3.1830988618 hz |
| 50 radps | 7.9577471546 hz |
| 100 radps | 15.915494309 hz |
| 1000 radps | 159.15494309 hz |
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.
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.