kilohertz [kHz] to radian per second [rad/s] Converter
kHz
rad/s
How to Convert kilohertz to radian per secondradian per second
1 kHz = 6283.185307179586 rad/s
1 rad/s = 0.00015915494309189535 kHz
Example: convert 81 kHz to rad/s:
81 kHz = 81 x 6283.185307179586 = 508938.00988154643 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 10^3, 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] |
---|---|
0.01 kHz | 62.83185307179586 rad/s |
0.1 kHz | 628.3185307179587 rad/s |
1 kHz | 6283.185307179586 rad/s |
10 kHz | 62831.853071795864 rad/s |
50 kHz | 314159.2653589793 rad/s |
100 kHz | 628318.5307179586 rad/s |
1000 kHz | 6283185.307179586 rad/s |
10000 kHz | 62831853.07179586 rad/s |
Common pairs of Frequency