`V = 2pi*D/2*"RPM"/60`

Enter a value for all fields

The Linear Velocity from RPMs calculator computes the linear velocity based on the rotation rate (R) and the diameter of the wheel (D).

Calculate Linear Velocity from RPMS:

1. Choose units
2. Enter the rotation rate (R)
3. Enter the outer diameter (D)

Linear Velocity (V): The calculator returns velocity in meters per second.  However, this can be automatically converted to other velocity units via the pull-down menu.

The Math

The Linear Velocity from RMPs can be found using the following formula: 

    `v=(2pi)/60*r*N` 

where:

• v = linear velocity on the edge of the radius (e.g. pulley) 
• r = radius, where radius is half the diameter
• N = number of revolutions per minute

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Simple Machine Calculators

• Lever Beam Length 
• Leverage Lift Weight 
• Fulcrum Position 
• Belt Length 
• Belt Speed
• RPMs to Linear Velocity
• RPMs from linear velocity and diameter 
• 2nd Pulley RPMs
• 2nd Pulley Diameter 
• RPM of 4th pulley on three shafts 
• 2nd Gear RPM 
• Sum of Two Lengths
• Second Gear Torque

References

The formula for Linear Velocity is from Wikipedia (https://en.wikipedia.org/wiki/Revolutions_per_minute).