Mechanical Advantage Calculator Formula

Understand the math behind the mechanical advantage calculator. Each variable explained with a worked example.

Formulas Used

Mechanical Advantage

ma = output_force / input_force

Variables

VariableDescriptionDefault
output_forceOutput Force (Load)(N)500
input_forceInput Force (Effort)(N)100

How It Works

Mechanical Advantage

Mechanical advantage describes how much a simple machine multiplies the input force.

Formula

MA = F_output / F_input

An MA greater than 1 means the machine amplifies force; less than 1 means it amplifies distance/speed instead.

Worked Example

A lever lifts a 500 N load with 100 N of effort.

output_force = 500input_force = 100
  1. 01MA = F_output / F_input
  2. 02MA = 500 / 100
  3. 03MA = 5

Frequently Asked Questions

Can mechanical advantage be less than 1?

Yes. Some machines trade force for speed or distance. A baseball bat has MA less than 1 but amplifies the speed of the tip.

Does a machine with high MA save energy?

No. By conservation of energy, what is gained in force is lost in distance. Work input equals work output (minus friction losses).

What are examples of simple machines?

Levers, pulleys, inclined planes, wedges, screws, and wheel-and-axle systems are the six classical simple machines.

Ready to run the numbers?

Open Mechanical Advantage Calculator