RPM to Linear Speed Table: Linear speed by Radius
Reference table of linear speed for RPM to Linear Speed across a range of radius values — exact, engine-computed figures you can read off at a glance.
RPM to Linear Speed Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Linear speed
31.4159
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the RPM to Linear Speed Calculator
The RPM to Linear Speed Calculator works out your linear speed in an instant. Enter radius and rotational speed 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.
- Enter the radius.
- Enter the rotational speed.
- Read off your linear speed — the calculator updates automatically, with no button to press.
Formula
The RPM to Linear Speed Calculator uses the formula:
Linear speed = 2 × 3.141592653589793 × Radius × Rotational speed ÷ 60
Worked example
For example, with radius of 0.3 m and rotational speed of 1,000 RPM, the linear speed is 31.4159.
| Radius | 0.3 m |
|---|---|
| Rotational speed | 1,000 RPM |
| Linear speed | 31.4159 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Radius
- The distance from the centre of a circle or sphere to its edge.
Frequently asked questions
Multiply circumference by revolutions per second: v = 2πr × RPM ÷ 60. A 0.3 m radius at 1000 RPM gives about 31.4 m/s.
RPM is per minute, so dividing by 60 converts to revolutions per second for speed in m/s.
It is the speed of a point on the rotating edge, the distance it covers along its circular path each second.
Wheels, pulleys, grinding tools and machinery where surface speed matters for performance or safety.
The RPM to Linear Speed Calculator uses the formula: Linear speed = 2 × 3.141592653589793 × Radius × Rotational speed ÷ 60. For example, with radius of 0.3 m and rotational speed of 1,000 RPM, the linear speed is 31.4159.
Enter the radius. Enter the rotational speed. Read off your linear speed — the calculator updates automatically, with no button to press.
Related guides
How to Calculate RPM to Linear Speed: Formula, Steps & Examples
Learn how to calculate RPM to Linear Speed — the formula explained step by step, with worked examples and a free calculator to check your answer.