Paritian

Mechanics

Pulley Speed Calculator

Driven pulley speed, drive ratio and belt linear speed from two pulley diameters.

Results

Rotational speed 580.00 rpm
Ratio 2.5000
Speed 7.592 m/s

What this tool does

A belt drive keeps the belt speed the same on both pulleys, so the rotational speeds are inversely proportional to the diameters. Belt linear speed is also given, because most belt types have a maximum working speed that should not be exceeded.

Formula

n₁ × d₁ = n₂ × d₂

Variables

SymbolMeaningUnit
d1Diametermm
n1Rotational speedrpm
d2Diametermm
n2Rotational speedrpm
iRatio
vSpeedm/s

Worked example

  • Diameter100 mm
  • Rotational speed1450 rpm
  • Diameter250 mm
  • Rotational speed580.00 rpm
  • Ratio2.5000
  • Speed7.592 m/s

Limitations

  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.