# Angular Velocity Converter (rad/s / rpm / deg/s / Hz)

Convert angular velocity (angular speed) between radian per second (rad/s, SI base), revolutions per minute (rpm = 2π/60 rad/s), degrees per second (deg/s = π/180 rad/s), and hertz (Hz, used as revolution per second = 2π rad/s). Converts via rad/s to the target unit and lists all four equivalents. Note: 1 Hz in angular-frequency context means one full revolution per second, so 1 Hz = 2π rad/s ≈ 6.283185307 rad/s. Reference: vinyl LP 33⅓ rpm ≈ 3.49 rad/s, car engine idle ~800 rpm ≈ 83.8 rad/s.

> Canonical page: https://elysiatools.com/en/tools/angular-velocity-converter

- **Category:** Math & Numbers

- **Keywords:** angular velocity, angular speed, angular frequency, radian per second, rad/s, rpm, revolutions per minute, degrees per second, deg/s, hertz, Hz, rotational speed, spin rate

## Overview

Convert angular velocity between rad/s, rpm, deg/s, and Hz. Enter a value, choose the input and output units, set the decimal places, and receive the selected conversion plus equivalent values in all four units.

## Inputs

- **Input unit** (select)
- **Value** (number): Angular velocity in the selected Input unit. Can be negative (clockwise).
- **Output unit** (select)
- **Decimal Places** (number)

## When to use

- Convert motor or shaft speed from rpm to rad/s for engineering calculations.
- Translate rotational frequency between Hz, rpm, and deg/s.
- Check familiar rotational speeds such as vinyl records, motors, or spinning equipment.

## How it works

- Enter the angular velocity value, including negative values for clockwise rotation.
- Select the input unit: rad/s, rpm, deg/s, or Hz.
- Select the desired output unit and choose between 0 and 10 decimal places.
- The converter calculates through rad/s and returns the selected result with all four equivalent values.

## Use cases

- Convert induction motor speeds between grid frequency, rpm, and angular velocity.
- Calculate the rad/s or deg/s equivalent of a mechanical rotation rate.
- Compare rotational speeds in physics, mechanical engineering, electronics, and equipment specifications.

## Frequently asked questions

### Which angular velocity units are supported?

The converter supports rad/s, rpm, deg/s, and Hz.

### What does Hz mean in this converter?

Hz represents revolutions per second, so 1 Hz equals 2π rad/s, 60 rpm, and 360 deg/s.

### Can I enter a negative angular velocity?

Yes. Negative values are supported and can represent clockwise rotation.

### How many decimal places can I display?

You can choose from 0 to 10 decimal places. The default is 6.

### Does the result include equivalent values in other units?

Yes. The result lists the converted value in the selected output unit and equivalents in rad/s, rpm, deg/s, and Hz.

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