hertz [Hz] to radian per second [rad/s] Converter

Hz

rad/s

How to Convert hertz to radian per secondradian per second

1 Hz = 6.283185307179586 rad/s
1 rad/s = 0.15915494309189535 Hz

Example: convert 88 Hz to rad/s:
88 Hz = 88 x 6.283185307179586 = 552.9203070318035 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]
0.01 Hz0.06283185307179587 rad/s
0.1 Hz0.6283185307179586 rad/s
1 Hz6.283185307179586 rad/s
10 Hz62.83185307179586 rad/s
50 Hz314.1592653589793 rad/s
100 Hz628.3185307179587 rad/s
1000 Hz6283.185307179586 rad/s
10000 Hz62831.853071795864 rad/s

Common pairs of Frequency