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Hz to rad/s converter

Converts frequency in hertz to angular frequency in radians per second for engineers, scientists, and students.

Hz to rad/s Conversion Icon Abstract bold icon with a central circle, an angular arc, and an arrow suggesting conversion from Hz to radians per second.

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About This Tool

The Hz to rad/s converter computes angular frequency from a given frequency in hertz (Hz) using the standard relation omega = 2*pi*f. It is designed for electrical engineers, physicists, and signal processing practitioners who need to express a frequency in terms of angular velocity for analysis, filtration, timing, and simulations. The input is a real number representing frequency in Hz, and the output is a real number in rad/s with default floating point precision suitable for engineering calculations.\n\nUnder the hood, the tool applies a straightforward multiplier: rad_per_sec = 2 * pi * freq_hz. For example, f = 1 Hz yields rad_per_sec ≈ 6.283185 rad/s, and f = 60 Hz yields rad_per_sec ≈ 377.0 rad/s. The calculation is deterministic across platforms and preserves precision for typical engineering ranges; rounding may be configured by the host environment.\n\nWho benefits: engineers designing oscillators, controllers, and filters; physicists modeling sinusoidal phenomena; educators demonstrating the link between frequency and angular frequency. The tool provides exact numeric results, easily copyable into formulas, plots, spreadsheets, or documents; it helps reduce conversion errors when moving between frequency and angular representations.\n\nUnique value: it offers a focused, dependency-free conversion with clear naming and predictable output. It handles fractional Hz input, supports negative values when the context allows, and returns rad/s values in a single step. The approach emphasizes correctness, simplicity, and speed for high-volume or automated conversions in engineering workflows.

How to Use

1. Provide the input frequency in Hz (numeric value).
2. The tool applies the relation rad_per_sec = 2 * pi * freq_hz to compute the result.
3. Read the output in rad/s and use in your equations or plots.
4. If needed, adjust precision via the host environment or settings.
5. Copy or export the value for documentation or further calculations.

FAQs/Additional Resources

Find Quick Answers

What is the relation between Hz and rad/s?

Can I use negative Hz values?

What precision is used for the output?

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