Rad/s to Hz Converter
Convert Radians per Second (rad/s) to Hertz (Hz) instantly.
Enter Value
Conversion Result
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Formula & Conversion Step:
What is the Rad/s to Hertz Converter?
The Radians per second (rad/s) to Hertz (Hz) converter translates physics back into practical engineering. It takes the angular velocity of a spinning rotor or alternating current phase and converts it back into standard linear cycles-per-second.
How It Works (Formula)
Because a single full rotation (or a single full wave cycle) contains exactly $2\pi$ radians, converting angular velocity back to a linear frequency requires division. The calculator divides your inputted rad/s value by $2\pi$ (approximately 6.28318).
$$ f_{(\text{Hz})} = \frac{\omega_{(\text{rad/s})}}{2\pi} $$
The fundamental trigonometric division linking angular spin to linear Hertz.
How to Use It
Enter the angular frequency in Radians per second (rad/s). The calculator will instantly divide the value by $2\pi$ and output the exact linear frequency in Hertz (Hz). For example, 314.159 rad/s yields exactly 50 Hz (the European power grid frequency).