👤 By whycalculator Team 📅 Last Updated February 23, 2026
RPM to m/s Calculator
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This RPM to m/s Calculator helps you convert rotational speed (in revolutions per minute) to linear speed (in meters per second). Whether you’re working with rotating wheels, motors, or pulleys, this tool gives you quick and accurate results.
Simply input the RPM and either the diameter or radius of the rotating object. Select the appropriate unit for your measurement – cm, inch, feet, mm, or meter.
Once entered, the calculator will show the result in seconds. Perfect for engineers, mechanics, and DIY enthusiasts needing reliable speed conversions.
How to Convert RPM to m/s
To convert RPM (rotational speed) to m/s (linear speed), you need to understand the relationship between rotational motion and linear motion.
Formula
Linear speed (v) = 2πr × RPM / 60
Where:
- v = linear speed in meters per second (m/s)
- r = radius in meters (m)
- RPM = revolutions per minute
- 2πr = the circumference of the circle
- Division by 60 is to convert minutes into seconds
Example 1: Using Radius
Given:
- RPM = 1200
- Radius = 0.1 meters (10 cm)
Calculation:
v = (2 × π × 0.1 × 1200) / 60
v = (2 × 3.1416 × 0.1 × 1200) / 60
= 753.98 / 60 ≈ 12.57 m/s
Result: So, 1200 rpm is approximately 12.57 m/s
Example 2: Using Diameter
If you’re given diameter instead of radius, divide the diameter by 2 to get the radius.
Given:
- RPM = 500
- Diameter = 0.5 meters
r = 0.5/2 = 0.25 m
v = 2π×0.25×500 / 60
= 785.4 / 60 ≈ 13.09m/s
Result: The linear speed is approximately 13.09 m/s
| RPM | Radius (m) | Speed (m/s) |
|---|---|---|
| 500 | 0.1 | 5.24 |
| 1000 | 0.15 | 15.71 |
| 1500 | 0.2 | 31.42 |
| 2000 | 0.25 | 52.36 |
| 3000 | 0.3 | 94.25 |
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