Why is diameter needed instead of radius?

The formula uses circumference (π × diameter) since linear speed equals circumference traveled per revolution times revolutions per second — you can substitute 2 × radius for diameter if you prefer.

What units does this assume?

This assumes diameter in meters and RPM in revolutions per minute, giving a result in meters per second. Convert your inputs first if you're working in different units.

RPM to Linear Speed Calculator

Convert a rotating object's angular speed in RPM to its linear (tangential) surface speed, given the object's diameter. Common in machining, conveyor design, pulley systems, and vehicle wheel speed calculations.

Inputs

Results

Linear Speed: 18.85 m/s

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Formula

v = π × Diameter × RPM / 60

Learn How This Works

Rotational and Fluid Dynamics for Engineers

Pipe flow rate, RPM-to-linear-speed conversion, moment of inertia, natural frequency, and fluid velocity — five calculations for rotating and flowing systems.

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