math for pulley belt length formula

Free calculate the length of belt required to connect two pulleys of different sizes. Get instant, accurate results with our easy-to-use calculator.

Input Parameters

Distance between pulley centers

Results

Enter pulley diameters and center distance to calculate belt length

Belt Length Formula

Formula

L = 2C + π(d₁ + d₂)/2 + (d₂ - d₁)²/(4C)

Where:

  • • L = belt length (m)
  • • C = center distance (m)
  • • d₁ = pulley 1 diameter (m)
  • • d₂ = pulley 2 diameter (m)

For equal pulleys: L = 2C + πd

Belt Types

  • • Flat belt
  • • V-belt
  • • Timing belt
  • • Round belt
  • • Ribbed belt

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