kilohertz [kHz] to radian per second [rad/s] Converter
Quick Reference
1 kilohertz (kHz) = 6283.185307 radian per second (rad/s)
1 radian per second (rad/s) = 0.0001591549431 kilohertz (kHz)
How to Convert kilohertz to radian per second
1 kHz = 6283.185307179586 rad/s
1 rad/s = 0.00015915494309189535 kHz
To convert kilohertz to radian per second, multiply the value by 6283.185307. To convert radian per second back to kilohertz, divide by 6283.185307.
Example: convert 10 kHz to rad/s:
10 kHz = 10 x 6283.185307179586 = 62831.85307179586 rad/s
kilohertz
Definition: A kilohertz (symbol: kHz) is a unit of frequency equal to one thousand (1000) hertz (Hz). The hertz, in turn, is the SI unit of frequency, defined as one cycle per second.
History/origin: The kilohertz is derived from the hertz, named after the German physicist Heinrich Hertz, who made significant contributions to the understanding of electromagnetic waves. The prefix 'kilo-' denotes a factor of 10<sup>3</sup>, adhering to the SI system of units.
Current use: Kilohertz is used to measure frequencies in the range of audio signals, radio waves (particularly AM radio), and some computer hardware components. It is a common unit in electronics, telecommunications, and signal processing.
radian per second
Definition: Radians per second (rad/s) is the SI unit of angular speed or angular velocity. It represents the rate of change of an angle in radians over time, specifically the number of radians rotated in one second.
History/origin: The radian as a unit of angle measurement is fundamental in mathematics and physics. Defining angular speed in radians per second is essential for consistency with other SI units and simplifies many equations in rotational dynamics.
Current use: Radians per second is widely used in physics, engineering, and mathematics for describing rotational motion. It's essential in calculations involving torque, angular momentum, and rotational kinetic energy. It appears in fields such as mechanics, electrical engineering (e.g., analyzing AC circuits), and signal processing (e.g., representing signal frequencies).
kilohertz to radian per second Conversion Table
| kilohertz [kHz] | radian per second [rad/s] |
|---|---|
| 1 kHz | 6283.185307179586 rad/s |
| 2 kHz | 12566.370614359172 rad/s |
| 5 kHz | 31415.926535897932 rad/s |
| 10 kHz | 62831.853071795864 rad/s |
| 20 kHz | 125663.70614359173 rad/s |
| 50 kHz | 314159.2653589793 rad/s |
| 100 kHz | 628318.5307179586 rad/s |
| 200 kHz | 1256637.0614359172 rad/s |
| 500 kHz | 3141592.653589793 rad/s |
| 1000 kHz | 6283185.307179586 rad/s |
Common pairs of Frequency
millihertz
kilohertz
megahertz
gigahertz
terahertz
rotation per minute
degree per second