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Physics

Angular Velocity Calculator

Convert revolutions per minute to radians per second.

SI units shown beside each fieldIdeal model explained below
Physics lab
Physics lab

Use the units beside each input and review the model assumptions.

See the method

Define your system

Runs on your device

Your calculated quantity

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter rotation rate.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Rotation rateNumeric value. Unit: rpm. Zero or positive.120

Result for these sample inputs

12.5663706 rad/s

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Angular velocity = rpm × 2π/60.

A WORKED EXAMPLE

Using rotation rate = 120 rpm, the result is 12.5663706 rad/s. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

An idealized educational model using the stated SI units. Real systems may need additional forces, losses or experimental measurements. Not a safety or equipment specification.

Methodology maintained by ClarityKit. How these tools are built and checked.