Hz to rad/s Converter
Convert Hertz (Hz) to Radians per Second (rad/s) instantly.
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Conversion Result
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Formula & Conversion Step:
What is the Hertz to Rad/s Converter?
The Hertz (Hz) to Radians per second (rad/s) converter is a critical tool for electrical engineers and physicists dealing with alternating current (AC) and wave mechanics. It translates linear frequency into angular frequency.
How It Works (Formula)
Hertz measures how many full cycles a wave completes in one second. Because one complete cycle of a sine wave (or a circle) covers exactly $2\pi$ radians, the angular frequency (denoted by $\omega$) is found by multiplying the linear frequency in Hertz by $2\pi$.
$$ \omega_{(\text{rad/s})} = 2\pi \times f_{(\text{Hz})} $$
The fundamental trigonometric multiplier linking linear cycles to angular velocity.
How to Use It
Enter the linear frequency in Hertz (Hz). The tool will multiply the value by $2\pi$ (approximately 6.28318) and output the precise angular frequency in Radians per second (rad/s). For example, a 60 Hz AC power grid runs at roughly 377 rad/s.