radian per second [rad/s] to kilohertz [kHz] Converter
Quick Reference
1 radian per second (rad/s) = 0.0001591549431 kilohertz (kHz)
1 kilohertz (kHz) = 6283.185307 radian per second (rad/s)
How to Convert radian per second to kilohertz
1 rad/s = 0.00015915494309189535 kHz
1 kHz = 6283.185307179586 rad/s
To convert radian per second to kilohertz, divide the value by 6283.185307 (equivalently, multiply by 0.0001591549431). To convert kilohertz back to radian per second, multiply by 6283.185307.
Example: convert 10 rad/s to kHz:
10 rad/s = 10 x 0.00015915494309189535 = 0.0015915494309189536 kHz
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
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 to kilohertz Conversion Table
| radian per second [rad/s] | kilohertz [kHz] |
|---|---|
| 1 rad/s | 0.00015915494309189535 kHz |
| 2 rad/s | 0.0003183098861837907 kHz |
| 5 rad/s | 0.0007957747154594768 kHz |
| 10 rad/s | 0.0015915494309189536 kHz |
| 20 rad/s | 0.003183098861837907 kHz |
| 50 rad/s | 0.007957747154594767 kHz |
| 100 rad/s | 0.015915494309189534 kHz |
| 200 rad/s | 0.03183098861837907 kHz |
| 500 rad/s | 0.07957747154594767 kHz |
| 1000 rad/s | 0.15915494309189535 kHz |
Common pairs of Frequency
millihertz
kilohertz
megahertz
gigahertz
terahertz
rotation per minute
degree per second