Hz to rad/s Converter
Convert hertz to radians per second (Hz to rad/s). Angular frequency conversion for physics, engineering, and rotational motion.
How to convert hertz to radians per second?
To convert hertz to radians per second, multiply by 2π (approximately 6.28318530718). This converts frequency to angular frequency.
ω(rad/s) = f(Hz) × 2π
What is angular frequency?
Angular frequency (rad/s) measures rotation rate in radians per second. 1 Hz = 2π rad/s ≈ 6.283 rad/s.
Who developed the concept of angular frequency?
Angular frequency concepts were developed by physicists like Joseph Fourier and Leonhard Euler in the 18th-19th centuries, building on earlier work in wave theory and rotational motion.
What are common applications of Hz to rad/s conversion?
Common applications include mechanical engineering (rotating machinery), electrical engineering (AC circuits), physics (oscillatory motion), and signal processing (frequency domain analysis).
Hertz to rad/s conversion table
| Hertz (Hz) | Radians/second (rad/s) |
|---|---|
| 1 Hz | 6.28318 rad/s |
| 2 Hz | 12.56637 rad/s |
| 5 Hz | 31.41593 rad/s |
| 10 Hz | 62.83185 rad/s |