Boneyard Tools

RPM to Linear Velocity Calculator

Turn a rotational speed into the surface speed of a point on the rim by entering the RPM and either the radius or the diameter in metres. The calculator multiplies the circumference by the revolutions per second, giving you linear velocity in metres per second alongside a km/h figure and the circumference itself. It suits wheels and tyres, pulleys and belts, rollers and CNC or lathe work, and updates as you type.

How to convert RPM to linear velocity

  1. Type the rotational speed into the Rotational speed field, in rpm.
  2. Leave the size selector on Radius, or switch it to Diameter.
  3. Enter the radius or diameter value in metres.
  4. Read the Linear velocity card in m/s, with an In km/h card beside it.
  5. Check the Circumference card and use Copy to save all three figures.

Examples

Wheel by radius at 1000 rpm

rpm = 1000, radius = 0.1 m
10.471975512 m/s (37.699111843 km/h)

Pulley entered by diameter

rpm = 300, diameter = 0.5 m
7.853981634 m/s (28.274333882 km/h)

Grinding wheel rim speed

rpm = 2400, radius = 0.075 m
18.849555922 m/s (67.858401318 km/h)

Frequently asked questions

How do I convert RPM to linear speed?

Find the circumference with 2 x pi x radius, multiply it by the RPM, then divide by 60 to move from per-minute to per-second. The result is the surface speed in metres per second, which the tool also expresses in km/h.

What is the difference between the radius and diameter inputs?

Diameter is twice the radius. If you choose Diameter from the selector, the tool halves your value first and then uses 2 x pi x radius for the circumference, so both modes give the same speed for the same physical wheel.

Why does the tool show km/h as well?

Metres per second is the base SI unit, but a km/h figure is often easier to picture for wheels and vehicles. It is simply the m/s value multiplied by 3.6.

Is this the same as tangential speed?

Yes. The surface speed of a point on the rim is its tangential speed, the distance it travels along its circular path each second. It is the speed you would measure with a tape running along the surface.

What units should I enter?

RPM is revolutions per minute and the size must be in metres. For a 100 mm radius enter 0.1, and for a 12 mm radius enter 0.012. The outputs are then metres per second, km/h and metres of circumference.

Can I enter zero or negative values?

An RPM of zero is allowed and returns a speed of zero. The radius or diameter must be greater than zero, and negative sizes are rejected with a short message, since a wheel cannot have a negative radius.

Why are the numbers shown to so many decimals?

The engine keeps full precision and rounds only at the ninth decimal, so you see the exact computed value rather than a truncated estimate. Round it yourself to whatever precision your job needs.

Does the calculation happen on a server?

No. The math runs entirely in your browser, so nothing you type is uploaded. That also means it keeps working offline once the page has loaded.

Learn more

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