hertz [Hz] to radian per second [rad/s] Converter
Quick Reference
1 hertz (Hz) = 6.283185307 radian per second (rad/s)
1 radian per second (rad/s) = 0.1591549431 hertz (Hz)
How to Convert hertz to radian per second
1 Hz = 6.283185307179586 rad/s
1 rad/s = 0.15915494309189535 Hz
To convert hertz to radian per second, multiply the value by 6.283185307. To convert radian per second back to hertz, divide by 6.283185307.
Example: convert 10 Hz to rad/s:
10 Hz = 10 x 6.283185307179586 = 62.83185307179586 rad/s
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
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 to radian per second Conversion Table
| hertz [Hz] | radian per second [rad/s] |
|---|---|
| 1 Hz | 6.283185307179586 rad/s |
| 2 Hz | 12.566370614359172 rad/s |
| 5 Hz | 31.41592653589793 rad/s |
| 10 Hz | 62.83185307179586 rad/s |
| 20 Hz | 125.66370614359172 rad/s |
| 50 Hz | 314.1592653589793 rad/s |
| 100 Hz | 628.3185307179587 rad/s |
| 200 Hz | 1256.6370614359173 rad/s |
| 500 Hz | 3141.592653589793 rad/s |
| 1000 Hz | 6283.185307179586 rad/s |
Common pairs of Frequency
millihertz
kilohertz
megahertz
gigahertz
terahertz
rotation per minute
degree per second