Pulley Mechanical Advantage Calculator

Ideal mechanical advantage equals the number of rope parts supporting the load; the pull needed is load ÷ advantage, plus friction losses.

Estimate only. Results are estimates. Verify against the applicable code and manufacturer specifications before relying on them for safety-related work.

lbf
%
Typically 3–5% for ball-bearing blocks, 8–10% for bushings.
Pull force needed (with friction)
306.9lbf
Pull force (ideal, no friction)250 lbf
Actual mechanical advantage3.26 :1
Rope pulled per foot of lift4 ft

Show the math

Ideal pull = 1,000 lb ÷ 4 parts = 250 lb
Efficiency = (1 − 5%)^4 sheaves = 0.815
Pull with friction = 250 ÷ 0.815 = 306.9 lb (actual advantage 3.26:1)

Rounded the same way as the result above.

How it works

A block and tackle trades distance for force. Count the rope segments that actually support the moving block; that number is the ideal mechanical advantage, and you must pull that many feet of rope to lift the load one foot.

Every sheave the rope bends around loses a few percent to friction. The calculator compounds that loss over the number of sheaves to give the real pull force and real advantage.

Ideal pull = load ÷ rope parts Efficiency = (1 − friction per sheave)^(sheaves) Actual pull = ideal pull ÷ efficiency

Worked example

Lifting 1,000 lb with a 4-part tackle and four sheaves at 5% friction each:

  1. Ideal pull = 1,000 lb ÷ 4 parts = 250 lb
  2. Efficiency = (1 − 5%)^4 sheaves = 0.815
  3. Pull with friction = 250 ÷ 0.815 = 306.9 lb (actual advantage 3.26:1)
InputValue
Load weight1000 lbf
Rope parts supporting the load4
Friction loss per sheave5 %
Sheaves the rope passes over4
ResultValue
Pull force needed (with friction)306.9 lbf
Pull force (ideal, no friction)250 lbf
Actual mechanical advantage3.26 :1
Rope pulled per foot of lift4 ft

Assumptions and limits

  • Rope parts counted are only those attached to the moving block; a lead line pulled from the fixed block does not add advantage but does add a sheave.
  • Friction figures are typical, not measured. Real rope stiffness, block size, and rope diameter matter.
  • Anchor loads are higher than the load weight: the rig pulls on its anchor with about load plus pull force.

Common questions

How do I count the mechanical advantage?

Count the rope parts running to and from the moving block. If the rope is pulled from the fixed block, that hauling part does not count; if it is pulled from the moving block, it does.

Why is my real pull more than load ÷ parts?

Friction in the sheaves and rope bending. It grows with every sheave the rope passes over.

What load does the anchor carry?

When you haul from the fixed block, the anchor carries about the load plus the pull force you apply. Rate the anchor and its hardware for that, with margin.

Sources

  • Statics of block and tackle: ideal mechanical advantage equals the number of supporting rope parts.
  • Per-sheave friction losses are typical values and vary with block type, rope, and load.

Updated 2026-09-30