radian per second [rad/s] to hertz [Hz] Converter
Quick Reference
1 radian per second (rad/s) = 0.1591549431 hertz (Hz)
1 hertz (Hz) = 6.283185307 radian per second (rad/s)
How to Convert radian per second to hertz
1 rad/s = 0.15915494309189535 Hz
1 Hz = 6.283185307179586 rad/s
To convert radian per second to hertz, divide the value by 6.283185307 (equivalently, multiply by 0.1591549431). To convert hertz back to radian per second, multiply by 6.283185307.
Example: convert 10 rad/s to Hz:
10 rad/s = 10 x 0.15915494309189535 = 1.5915494309189535 Hz
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).
hertz
Definition: Hertz (symbol: Hz) is the SI unit of frequency, defined as the number of cycles per second of a periodic phenomenon. One hertz is equivalent to one cycle or event per second.
History/origin: The hertz is named after Heinrich Hertz, a German physicist who proved the existence of electromagnetic waves in the late 19th century. The unit was adopted as a standard unit for frequency in the 20th century.
Current use: Hertz is widely used across various fields to measure frequency, including radio waves, audio signals, computer processing speeds, alternating current (AC) electricity, and any oscillating or repeating phenomenon. It's a fundamental unit in physics, engineering, and technology.
radian per second to hertz Conversion Table
| radian per second [rad/s] | hertz [Hz] |
|---|---|
| 1 rad/s | 0.15915494309189535 Hz |
| 2 rad/s | 0.3183098861837907 Hz |
| 5 rad/s | 0.7957747154594768 Hz |
| 10 rad/s | 1.5915494309189535 Hz |
| 20 rad/s | 3.183098861837907 Hz |
| 50 rad/s | 7.957747154594768 Hz |
| 100 rad/s | 15.915494309189535 Hz |
| 200 rad/s | 31.83098861837907 Hz |
| 500 rad/s | 79.57747154594767 Hz |
| 1000 rad/s | 159.15494309189535 Hz |
Common pairs of Frequency
millihertz
kilohertz
megahertz
gigahertz
terahertz
rotation per minute
degree per second