Belt Length Calculator

Calculate V-belt or flat belt length for two-pulley and crossed-belt drives. Find speed ratio, driven RPM, belt speed, and contact angle.

Presets

Belt Length
1,051.8 mm
41.41 in — total belt length required
Speed Ratio
2.500 : 1
Large Ć· small pulley diameter
Driven RPM
700.0
Speed of the smaller (driven) pulley
Belt Speed
18.33 m/s
3,607 ft/min
Contact Angle (small)
156.0°
Wrap angle on the smaller pulley — should be > 120°
Wrap Angle (large)
204.0°
Wrap angle on the larger pulley

Contact Angle Rating

Belt Length vs Center Distance

Center Dist (mm)Belt Length (mm)Contact Angle (°)
150763.8132.0
200857.8144.0
3001,051.8156.0
4001,248.8162.0
5001,447.0165.6
7001,845.0169.7
10002,443.4172.8

Speed vs Pulley Diameter

Driven Dia (mm)Speed RatioDriven RPMBelt Speed (m/s)
504.0043818.33
802.5070018.33
1002.0087518.33
1501.331,31318.33
2001.001,75018.33
3000.672,62518.33
Planning notes, formulas, and examples

About the Belt Length Calculator

The **Belt Length Calculator** determines the exact belt length needed for a two-pulley drive system — the most common power transmission setup in machinery, HVAC, automotive, and industrial equipment. Enter the pulley diameters and center-to-center distance, and the calculator returns the required belt length, speed ratio, driven pulley RPM, belt linear speed, and wrap (contact) angles.

Proper belt length and adequate contact angles are essential for reliable power transmission. If the contact angle on the smaller pulley drops below 120°, the belt is likely to slip. This calculator warns you and provides a visual contact-angle rating.

Choose between open (standard) and crossed-belt configurations. The built-in presets cover common machinery setups, and the reference tables let you quickly compare belt lengths and speeds across different center distances and pulley sizes. Whether you are replacing a worn belt or designing a new drive, This calculator gives you the numbers you need in seconds. It keeps the geometry and drive-speed implications together so you can check whether a proposed pulley pair is practical before you order parts.

When This Page Helps

Use this calculator to estimate belt length, wrap angle, and speed ratio before ordering parts or checking whether a pulley combination is likely to slip. It is especially useful when a replacement belt needs to match an existing drive without changing the center distance or pulley set. That makes it easier to compare a few pulley layouts before buying a standard belt size.

How to Use the Inputs

  1. Select a preset or choose the drive type (open or crossed).
  2. Enter the large and small pulley diameters in millimetres.
  3. Enter the center-to-center distance between pulleys.
  4. Set the driver pulley RPM.
  5. Read the belt length, speed ratio, driven RPM, and contact angles.
  6. Check the contact angle rating — green (>120°) is safe.
  7. Use the tables to explore alternative configurations.
Formula used
Open Belt: L = 2C + Ļ€(D+d)/2 + (Dāˆ’d)²/(4C) Crossed Belt: L = 2C + Ļ€(D+d)/2 + (D+d)²/(4C) Speed Ratio: i = D / d Belt Speed: v = Ļ€ D n / 60 000 [m/s] (D in mm, n in RPM) Contact Angle (small): Īø ā‰ˆ 180° āˆ’ 60(Dāˆ’d)/C

Example Calculation

Result: 1 061 mm belt, speed ratio 2.5 : 1, 700 RPM driven, 18.3 m/s belt speed

A 200/80 mm pulley pair with 300 mm center distance requires a 1 061 mm belt. The smaller pulley spins at 700 RPM with a safe 156° contact angle.

Tips & Best Practices

  • Increase center distance to improve contact angle on the smaller pulley.
  • Standard V-belt lengths come in increments — check a catalogue after calculating.
  • A belt tensioner adds 1–3% to the effective center distance.
  • Keep belt speed under 25 m/s for standard rubber V-belts.
  • For high ratios (>5:1), consider a two-stage drive to maintain contact angle.

What The Geometry Tells You

Belt length depends mainly on pulley diameters and center distance, but wrap angle is just as important because it determines how much surface contact the belt has on the smaller pulley. A drive can have the correct length and still perform poorly if wrap is too small.

Design Use

This calculator is most useful during replacement selection and early layout work. It helps you compare whether a small change in pulley diameter or shaft spacing will force a different standard belt length or reduce the available contact angle below a comfortable operating range.

Practical Limits

Catalog belt lengths, tensioning range, pulley groove profile, and service factor still matter after the geometry is solved. Treat the result as the drive-layout starting point, then confirm against the manufacturer series you actually intend to buy.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • A common rule of thumb is to keep at least about 120 degrees of wrap on the smaller pulley to maintain traction. Less wrap increases the chance of slip, especially under load.