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 = 6283.185307 rad/s
1 rad/s = 0.0001591549431 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 6283.185307 = 62831.85307 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 | 6283.185307 rad/s |
| 2 kHz | 12566.37061 rad/s |
| 5 kHz | 31415.92654 rad/s |
| 10 kHz | 62831.85307 rad/s |
| 20 kHz | 125663.7061 rad/s |
| 50 kHz | 314159.2654 rad/s |
| 100 kHz | 628318.5307 rad/s |
| 200 kHz | 1256637.061 rad/s |
| 500 kHz | 3141592.654 rad/s |
| 1000 kHz | 6283185.307 rad/s |
Common kilohertz to radian per second conversions
- 1 kHz = 6,283.185307 rad/s
- 2 kHz = 12,566.370614 rad/s
- 3 kHz = 18,849.555922 rad/s
- 4 kHz = 25,132.741229 rad/s
- 5 kHz = 31,415.926536 rad/s
- 6 kHz = 37,699.111843 rad/s
- 7 kHz = 43,982.29715 rad/s
- 8 kHz = 50,265.482457 rad/s
- 9 kHz = 56,548.667765 rad/s
- 10 kHz = 62,831.853072 rad/s
- 12 kHz = 75,398.223686 rad/s
- 15 kHz = 94,247.779608 rad/s
- 20 kHz = 125,663.706144 rad/s
- 25 kHz = 157,079.632679 rad/s
- 30 kHz = 188,495.559215 rad/s
- 40 kHz = 251,327.412287 rad/s
- 50 kHz = 314,159.265359 rad/s
- 60 kHz = 376,991.118431 rad/s
- 75 kHz = 471,238.898038 rad/s
- 100 kHz = 628,318.530718 rad/s
- 150 kHz = 942,477.796077 rad/s
- 200 kHz = 1,256,637.061436 rad/s
- 250 kHz = 1,570,796.326795 rad/s
- 300 kHz = 1,884,955.592154 rad/s
- 500 kHz = 3,141,592.65359 rad/s
- 750 kHz = 4,712,388.980385 rad/s
- 1,000 kHz = 6,283,185.30718 rad/s
Common pairs of Frequency
millihertz
kilohertz
megahertz
gigahertz
terahertz
rotation per minute
degree per second