Convert Kilohertz (kHz) to Radians per second (rad/s)
Enter a value below to convert Kilohertz (kHz) to Radians per second (rad/s).
Conversion:
1 Kilohertz (kHz) = 6283.1853072 Radians per second (rad/s)
How to Convert Kilohertz (kHz) to Radians per second (rad/s)
1 khz = 6283.1853072 radps
1 radps = 0.00015915494309 khz
Example: convert 15 Kilohertz (kHz) to Radians per second (rad/s):
25 khz = 157079.63268 radps
Kilohertz (kHz) to Radians per second (rad/s) Conversion Table
| Kilohertz (kHz) | Radians per second (rad/s) |
|---|---|
| 0.01 khz | 62.831853072 radps |
| 0.1 khz | 628.31853072 radps |
| 1 khz | 6283.1853072 radps |
| 2 khz | 12566.370614 radps |
| 3 khz | 18849.555922 radps |
| 5 khz | 31415.926536 radps |
| 10 khz | 62831.853072 radps |
| 20 khz | 125663.70614 radps |
| 50 khz | 314159.26536 radps |
| 100 khz | 628318.53072 radps |
| 1000 khz | 6283185.3072 radps |
Kilohertz (kHz)
Definition
A kilohertz (kHz) is a unit of frequency equal to 1,000 hertz. It represents one thousand cycles per second.
History
The kilohertz replaced the older term 'kilocycle' (kc) when the SI system adopted the hertz in 1960. It was widely used in early radio broadcasting to describe AM radio frequencies and audio sampling rates.
Current use
Kilohertz is commonly used in AM radio broadcasting, audio engineering, ultrasonic applications, and sonar technology. Audio sampling rates and some communication protocols are specified in kHz.
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.