KEVOS® MAKEOS · Power Transmission

Pulley Speed Ratio

What speed will the driven pulley run at, ignoring belt slip?

Calculate the ideal speed of a driven pulley, the speed ratio and the belt speed from the two pitch diameters and the driver speed.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Driver pulley pitch diametermmPitch diameter of the driving pulley (not the outside diameter for V-belts).
Driven pulley pitch diametermmPitch diameter of the driven pulley.
Driver speedrpmSpeed of the driving pulley, for example the motor speed.

Method and formulas

  1. Speed ratio = driven pitch diameter / driver pitch diameter.
  2. Driven speed = driver speed / speed ratio; belt speed (m/s) = π × driver diameter (mm) × driver speed / 60,000.
  3. Example: 100 mm and 250 mm pulleys at 1,500 rpm give a ratio of 2.5, a driven speed of 600 rpm and a belt speed of 7.853982 m/s.

Limitations

  • Slip and creep, which make the driven speed slightly lower in practice, are ignored.
  • Belt length, centre distance, wrap angle and power rating are not checked; the Open Belt Drive Geometry tool covers length and wrap.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Choose pulley sizes for a target speed
  • Check belt speed against the belt maker’s limit
  • Estimate a driven machine speed

Who it is for

  • Design engineers
  • Maintenance engineers

What you get

  • Ideal driven speed (rpm)
  • Speed ratio
  • Belt speed (m/s)

Interpreting the result

  • Use the result as the nominal speed; measure the actual speed where it matters.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2484–2487. Topic reference; no source tables or recommended settings are reproduced.
  • Budynas R. G. and Nisbett J. K., Shigley’s Mechanical Engineering Design, 10th edition (McGraw-Hill, 2015), chapter 17, Flexible Mechanical Elements. Topic reference; no source tables or recommended settings are reproduced.

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Open the Pulley Speed Ratio calculator