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Science Calculators

Angular Velocity from Frequency Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Hz
Verified formula Private

Angular velocity

314.1593

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Angular Velocity from Frequency Calculator

The Angular Velocity from Frequency Calculator works out your angular velocity in an instant. Enter frequency and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the frequency.
  2. Read off your angular velocity — the calculator updates automatically, with no button to press.

Formula

The Angular Velocity from Frequency Calculator uses the formula:

Angular velocity = 2 × 3.141592653589793 × Frequency

Worked example

For example, with frequency of 50 Hz, the angular velocity is 314.1593.

Inputs used
Frequency 50 Hz
Results
Angular velocity 314.1593

Results are estimates for educational use, not professional advice.

Key terms explained

Velocity
The speed of an object in a given direction.

Frequently asked questions

Multiply frequency by 2π. At 50 Hz, angular velocity is about 314.16 rad/s.

It is the rate of rotation in radians per second, the angular version of speed.

One full cycle is 2π radians, so each hertz corresponds to 2π radians per second.

Multiply frequency by 60, since each cycle is one revolution.

The Angular Velocity from Frequency Calculator uses the formula: Angular velocity = 2 × 3.141592653589793 × Frequency. For example, with frequency of 50 Hz, the angular velocity is 314.1593.

Enter the frequency. Read off your angular velocity — the calculator updates automatically, with no button to press.

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