Pulley Calculator – Mechanical Advantage, Force & System Calculations

Robbie Dickson
2026-03-02T13:34:12-08:00

Free online pulley calculator for 5 systems — fixed, movable, gun tackle, double & triple block and tackle. Calculate input force, mechanical advantage & rope length instantly.

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Calculate the input force, mechanical advantage, and rope length for any pulley system in seconds. This pulley calculator covers single fixed and movable pulleys, gun tackle, and double or triple block and tackle configurations — adjust the load weight and per-pulley efficiency to see real-time force requirements with friction losses included.

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Select Pulley System

Load Configuration

Load Weight (G)100 lbs

15,000 lbs

Efficiency per Pulley90%

50%Typical: 85��95%99%

Results

Input Force Required (F)

--

lbs to lift the load

Ideal MA

--

:1 ratio

Actual MA

--

:1 (with friction)

Rope to Pull

--

per 1 ft of lift

Efficiency

--

system total

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💡 Engineering Insight

Select a pulley system to see details.

Physics: ideal frictionless model with optional per-pulley efficiency loss.

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Load Weight (G)100 lbs

15,000 lbs

📹 Video Walkthrough — How to Use This Calculator

Pulley System Interactive Visualizer

Explore how different pulley configurations reduce required force through mechanical advantage. Watch the rope segments distribute load weight across multiple supporting lines in real-time.

Pulley System
Single Fixed (MA=1)

Single Movable (MA=2)

Gun Tackle (MA=3)

Double Tackle (MA=4)

Triple Tackle (MA=6)

Load Weight 400 lbs

Efficiency per Pulley 90%

Input Force

100 lbs

Actual MA

3.3:1

Rope to Pull

4 ft

System Efficiency

65.6%

FIRGELLI Automations — Interactive Engineering Calculators

When you need to lift a heavy load but your available force is limited, a pulley system is the mechanical solution — and choosing the wrong configuration means undersizing your rope, overstressing your anchor, or burning out a motor. Use this Pulley System Calculator to calculate required input force and mechanical advantage using load weight, pulley configuration, and per-pulley efficiency. It covers construction rigging, marine tackle, and industrial lifting — anywhere the force-versus-rope trade-off defines your design. This page includes the core formula, a worked example, system theory, and an FAQ.

What is a pulley system?

A pulley system uses one or more wheels and a rope to reduce the force needed to lift a load. The more pulleys involved, the less force you need — but you have to pull more rope to make up for it.

Simple Explanation

Think of a pulley like sharing the weight between several people holding a rope. If 4 people each hold part of a rope supporting a heavy box, each person only carries a quarter of the weight. A block and tackle does exactly that — it splits the load across multiple rope segments so your hands (or your motor) don't have to carry it all.

How to Use This Calculator

1. Select your pulley system type from the 5 configuration cards — single fixed, single movable, gun tackle, double tackle, or triple block and tackle.

2. Set the load weight using the Load Weight slider (1–5,000 lbs).

3. Adjust the Efficiency per Pulley slider to match your real-world setup — 85–95% covers most practical scenarios.

4. Click Calculate to see your result.

Simple Example

Load weight: 200 lbs. System: Double Tackle (MA = 4). Efficiency per pulley: 90% (4 pulleys).

Ideal input force: 200 ÷ 4 = 50 lbs. System efficiency: 0.9⁴ = 65.6%. Actual input force: 200 ÷ (4 × 0.656) = 76.3 lbs. Rope to pull per 1 ft of lift: 4 ft.

Understanding Pulley Systems

Overview

A pulley system uses one or more wheels and a rope to reduce the force needed to lift a load. The trade-off is simple: less force requires pulling more rope. The mechanical advantage (MA) tells you how much the force is reduced.

The Five Common Pulley Configurations

1. Single Fixed Pulley (MA = 1) — A single wheel attached to a fixed support. It doesn't reduce force at all — it only changes the direction of pull. You pull down to lift up, which is often more ergonomic. Force required equals the full load weight.

2. Single Movable Pulley (MA = 2) — The pulley moves with the load, with one end of the rope fixed to the support. Two rope segments share the load, halving the required input force. You must pull twice as much rope for each unit of lift.

3. Gun Tackle — Compound (MA = 3) — Combines one fixed and one movable pulley with the rope anchored to the movable block. Three rope segments support the load, reducing input force to one-third of the weight.

4. Double Tackle — Block & Tackle (MA = 4) — Two fixed pulleys and two movable pulleys. Four supporting rope segments mean you only need one-quarter of the load as input force. Common in construction and marine rigging.

5. Triple Tackle — Block & Tackle (MA = 6) — Three fixed and three movable pulleys with six supporting segments. Reduces input force to one-sixth of the load. Used in heavy industrial lifting and ship rigging.

The Fundamental Formula

Use the formula below to calculate required input force for any pulley system.

F = G ÷ MA

F = input force (effort) required
G = load weight (gravity force on object)
MA = mechanical advantage (number of supporting rope segments)

The Rope Trade-Off

Every pulley system obeys the law of conservation of energy. If you reduce the force by a factor of MA, you must pull MA times as much rope:

Rope pulled = Lift distance × MA

To lift a 200 lb load by 1 foot using a 4:1 block and tackle, you pull 4 feet of rope with 50 lbs of force. The work (force × distance) remains the same.

Friction and Real-World Efficiency

Each pulley introduces friction losses, typically 5–15% per pulley depending on bearing quality. For a system with n pulleys at efficiency η per pulley:

Factual = G ÷ (MA × ηn)

A 6:1 system with 6 pulleys at 90% each has a system efficiency of 0.9⁶ ≈ 53%. The actual force required is nearly double the ideal calculation. This is why bearing quality matters enormously in multi-pulley systems.

Design Tips

Use sealed ball bearings — Pushes per-pulley efficiency above 95%, dramatically improving multi-pulley systems.

Choose the right rope — The rope must handle the full load in case of a jammed pulley. Use rated working load limits.

Account for rope weight — In long lifts, the weight of the rope itself adds to the required force, especially with high-MA systems requiring lots of rope.

Match MA to your needs — Higher MA isn't always better. More pulleys means more friction, more rope, and slower lifting. Use the minimum MA that brings force into a manageable range.

Inspect regularly — Pulley sheaves develop wear grooves that increase friction. Replace worn sheaves and frayed rope before failure.

Common Applications

Construction and rigging — Block and tackle systems lift steel beams, concrete, and equipment to height.

Sailing and marine — Multiple purchases on halyards and sheets allow crews to manage enormous sail forces.

Theater and stage — Counterweight fly systems use pulleys to raise and lower scenery, curtains, and lighting.

Rescue and climbing — Z-pulley systems (3:1) and other configurations are standard in mountain and confined-space rescue.

Exercise equipment — Weight machines use pulleys to redirect force and, in some designs, to alter the resistance curve.

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Frequently Asked Questions

What is mechanical advantage in a pulley?

Mechanical advantage (MA) is the ratio of load weight to the input force needed to lift it. A 4:1 system means you only need to apply 25% of the load as input force — but you have to pull four times as much rope to lift the load the same distance. MA equals the number of rope segments supporting the load.

How do you calculate pulley force?

Divide the load weight by the mechanical advantage: F = G ÷ MA. For a 200 lb load on a 4:1 block and tackle, you need 50 lbs of input force in the ideal case. In real systems, add 5–15% per pulley for friction losses, which can double the actual force required for high-MA systems.

Do pulleys reduce work or just force?

Pulleys reduce the force you need to apply, not the total work done. The work (force × distance) stays the same — you trade less force for more rope to pull. Friction in real pulleys adds extra work on top, which is why bearing quality matters in multi-pulley systems.

What is a block and tackle system?

A block and tackle is a pulley system that uses two or more pulleys arranged in pairs — one fixed block attached to a support, one movable block attached to the load. The rope threads back and forth between them, and the number of supporting rope segments determines the mechanical advantage. Common configurations are gun tackle (3:1), double tackle (4:1), and triple tackle (6:1).

How much weight can a pulley lift?

There is no upper limit set by the pulley type — a 6:1 system theoretically multiplies your input force by six. The real limit is the weakest link: rope rating, anchor strength, pulley sheave bearings, and the structure supporting the fixed block. Always size every component for the full load weight in case of jam, not just the reduced input force.

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About the Author

Robbie Dickson — Chief Engineer & Founder, FIRGELLI Automations

Robbie Dickson brings over two decades of engineering expertise to FIRGELLI Automations. With a distinguished career at Rolls-Royce, BMW, and Ford, he has deep expertise in mechanical systems, actuator technology, and precision engineering.

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