How to Convert Speed

The Speed Converter calculates the equivalent speed between meters per second (m/s) and revolutions per minute (RPM) using the following conversion formulas, where \( D \) is the diameter of the rotating object in meters:

From m/s to RPM:

From RPM to m/s:

Where:

• \( \text{m/s} \): Meters per second, a metric unit of linear speed, measuring distance traveled per second.
• \( \text{RPM} \): Revolutions per minute, a unit of rotational speed, measuring the number of complete rotations per minute.
• \( \text{Diameter} \): The diameter of the rotating object, which can be input in meters (m), centimeters (cm), millimeters (mm), inches (in), or feet (ft). The calculator converts all inputs to meters for computation.

Supported diameter units and their conversion to meters:

• 1 cm = 0.01 m
• 1 mm = 0.001 m
• 1 in = 0.0254 m
• 1 ft = 0.3048 m

Enter the speed value, select the speed unit (m/s or RPM), input the diameter, and select the diameter unit to convert between m/s and RPM.

Using the Speed Converter

This converter is designed to assist with converting speed between m/s and RPM, useful in fields like mechanical engineering, automotive, and robotics. It supports diameter inputs in metric (m, cm, mm) and US customary units (in, ft).

Input the speed value, select the speed unit (m/s or RPM), enter the diameter, and choose the diameter unit. The calculator will convert the diameter to meters and display the converted speed values in both units.

Example: Convert 10 m/s to RPM for a wheel with a 50 cm diameter.

1. Speed: \( 10 \, \text{m/s} \)
2. Diameter: \( 50 \, \text{cm} = 0.5 \, \text{m} \)
3. Conversion: \( \text{RPM} = \frac{10}{\pi \times 0.5} \times 60 = \frac{10}{1.5708} \times 60 \approx 381.972 \, \text{RPM} \)
4. Result: \( 10 \, \text{m/s} \approx 381.972 \, \text{RPM} \)

Use this tool for quick and accurate conversions in engineering and scientific applications.

Common Conversion Table

The following table provides quick reference conversions for common speed values between m/s and RPM, assuming a diameter of 1 meter:

m/s	RPM (D = 1 m)
1	19.099
5	95.493
10	190.986
20	381.972
50	954.930

For other diameters, input the diameter value and unit in the calculator to get accurate conversions.

Common FAQ

Below are frequently asked questions about speed conversions between m/s and RPM:

• Q: What is the difference between m/s and RPM?
  A: m/s (meters per second) measures linear speed, or how fast an object moves in a straight line, while RPM (revolutions per minute) measures rotational speed, or how fast an object spins around an axis.
• Q: Why is diameter needed for the conversion?
  A: Diameter determines the circumference of the rotating object, which relates linear speed (along the circumference) to rotational speed.
• Q: Why are multiple diameter units supported?
  A: Supporting metric (m, cm, mm) and US customary units (in, ft) makes the calculator versatile for users in different regions, such as engineers in the US or Europe.
• Q: How accurate is this converter?
  A: The converter uses precise conversion factors (e.g., 1 in = 0.0254 m) and the formula with π, providing results rounded to 6 decimal places for high accuracy.
• Q: Can negative values be converted?
  A: Yes, negative values can be converted, which may represent reverse motion in specific contexts, and the calculator handles them accurately.