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Free belt length calculator for two-pulley systems. Calculate V-belt length, serpentine belt length, timing belt dimensions, and pulley contact angles. Perfect for automotive, industrial, and DIY applications with professional accuracy and installation recommendations.
Last updated: February 2, 2026
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Outer diameter of the first pulley
Outer diameter of the second pulley
Distance between the centers of both pulleys
Belt Length
55.75 inches
(1416.05 mm)
Small Pulley Contact
177.1°
Large Pulley Contact
182.9°
Formula Used:
L = 2C + 1.57(D + d) + (D - d)² / (4C)
Recommendation:
Good configuration. Belt contact and tension should be adequate.
Belt Selection Tips:
Common V-belt types
A, B, C, D sections & 3V, 5V, 8V
Used in industrial machinery, HVAC systems, and older automotive applications
Multi-rib design
Flat with longitudinal grooves
Standard in modern automotive engines for accessory drives
Toothed design
HTD, GT2, AT, MXL pitches
Precision timing for camshafts, robotics, and CNC machines
Applications
Conveyors & power transmission
Used in manufacturing, material handling, and vintage machinery
Drive systems
Alternator, AC, power steering
Essential for automotive repair and maintenance work
Heavy-duty applications
Pumps, compressors, mills
For industrial manufacturing and processing equipment
For pulleys of 6\" and 4\" diameter with 20\" center distance:
Belt Length
55.75 inches
Contact Angle
177.1°
Our belt length calculator uses the standard engineering formula for two-pulley belt drive systems. The calculation accounts for the straight sections of belt between pulleys and the curved sections that wrap around each pulley. This formula is applicable to V-belts, serpentine belts, timing belts, and flat belts.
L = 2C + 1.57(D + d) + (D - d)² / (4C)Where:
Two pulleys connected by a belt with labeled dimensions
The formula breaks down into three components: the two straight sections (2C), the arc length around both pulleys (1.57(D + d)), and a correction factor for the geometry ((D - d)² / (4C)). The correction factor becomes more significant when there's a large difference in pulley sizes or a short center distance.
Need help with other mechanical calculations? Check out our sprocket calculator and pool salt calculator.
Get Custom Calculator for Your PlatformResult: Belt length = 55.75 inches
Add 2-5% for adjustment. Recommended belt size: 57-58 inches.
Alternator drive: 5\" crank, 3\" alternator, 18\" centers
Belt length ≈ 48.6\" → Use 49\" belt
CNC machine: 100mm and 60mm pulleys, 300mm centers
Belt length ≈ 851mm → 170 teeth (5mm pitch)
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