Mechanical Advantage Calculator
Find mechanical advantage, velocity ratio and efficiency.
Results update as you type.
How it works
Machines like levers, pulleys, and inclined planes let a small effort move a large load, and this calculator quantifies that with mechanical advantage, velocity ratio, and efficiency. You enter the load and effort forces and the distances each moves, and it returns all three. The mechanical advantage is the load force divided by the effort force, showing how many times the machine multiplies your input force; a value of 5 means the machine lets you lift five times what you push with. The velocity ratio is the distance the effort moves divided by the distance the load moves, reflecting the trade-off that multiplying force requires moving through a greater distance, since machines do not create energy. Efficiency is the ratio of mechanical advantage to velocity ratio, expressed as a percentage; an ideal frictionless machine would have efficiency of 100 percent (mechanical advantage equal to velocity ratio), but real machines lose some effort to friction, so efficiency is always below 100 percent. These concepts are core to physics and engineering, explaining how simple machines work and how to evaluate their performance. A high mechanical advantage makes a task easier but requires more movement, while efficiency tells you how much of your effort actually reaches the load versus being wasted. This calculator is useful for students studying simple machines and for analyzing real mechanisms. All inputs must be positive. Enter the forces and distances to find the mechanical advantage, velocity ratio, and efficiency.
MA = load / effort ; VR = effort distance / load distance ; efficiency = MA/VR × 100
The mechanical advantage is the output (load) force divided by the input (effort) force, showing how much a machine multiplies force. The velocity ratio is the distance the effort moves divided by the distance the load moves. Efficiency is the mechanical advantage divided by the velocity ratio, times 100.
Source:Physics (simple machines)
We review all our tools from time to time to ensure accuracy.
Worked example
How to use this calculator
- 1
Enter your values
Enter load (output force), effort (input force), effort distance and load distance.
- 2
Adjust the options
Fine-tune any options to match your situation.
- 3
Read your result
Mechanical advantage updates instantly as you type — no button to press.
Frequently asked questions
What is mechanical advantage?
Mechanical advantage is the factor by which a machine multiplies the input force, calculated as the output (load) force divided by the input (effort) force. A mechanical advantage of 5 means the machine lets you move a load five times heavier than the force you apply. It measures how much a machine reduces the effort needed.
What is the velocity ratio?
The velocity ratio is the distance the effort moves divided by the distance the load moves. It reflects the fundamental trade-off in machines: gaining force means the effort must move a greater distance than the load. For an ideal machine, the velocity ratio equals the mechanical advantage, but friction makes real machines fall short.
How is machine efficiency calculated?
Efficiency is the mechanical advantage divided by the velocity ratio, expressed as a percentage. It shows how much of the input effort actually moves the load rather than being lost to friction. A perfectly efficient machine would reach 100 percent, but all real machines are below that because some energy is always lost.
Why is efficiency always less than 100 percent?
Real machines lose some input energy to friction between moving parts, air resistance, and other losses, so not all the effort reaches the load. This means the actual mechanical advantage is always less than the ideal (the velocity ratio), making efficiency below 100 percent. Reducing friction with lubrication and good design improves efficiency.
What are examples of simple machines?
The six classic simple machines are the lever, wheel and axle, pulley, inclined plane, wedge, and screw. Each provides mechanical advantage by trading distance for force. This calculator applies to any of them, and to complex machines built from combinations, as long as you know the load and effort forces and the distances they move.