Mechanical Advantage Calculator

What Is Mechanical Advantage?

Mechanical advantage (MA) measures how much a simple machine multiplies force. A lever, pulley, wedge, or inclined plane lets you move a heavy load with a smaller input force. The tradeoff is that the input moves a greater distance than the load.

Mechanical Advantage Formulas

From forces:

$$MA = \frac{F_{out}}{F_{in}}$$

For a lever, mechanical advantage equals the effort arm divided by the load arm. For a pulley system with $n$ movable pulleys attached to the load, $MA = 2n$. Work is conserved: output force increases while output distance decreases.

Simple Machines

Levers, pulleys, wedges, screws, inclined planes, and wheel-and-axle systems are the six classical simple machines. Each trades distance for force. Understanding MA helps in engineering design, physics homework, and choosing the right lifting equipment.

Frequently Asked Questions

Can mechanical advantage be less than 1?

Yes. A machine with MA less than 1 amplifies speed and distance rather than force. Third-class levers are a common example.

How do I calculate MA for a lever?

Divide the effort arm (distance from fulcrum to where you push) by the load arm (distance from fulcrum to the load). MA = effort arm / load arm.

Why is pulley MA equal to 2n?

Each movable pulley attached to the load has two rope segments supporting it. With n such pulleys, the input force is divided by 2n.

Does friction change mechanical advantage?

Ideal MA assumes no friction. Real machines have efficiency less than 100%, so the actual force gain is somewhat lower than the ideal value.

Is mechanical advantage the same as velocity ratio?

In ideal machines without friction, MA equals the velocity ratio (input distance / output distance). With friction, efficiency links them: efficiency = MA_actual / MA_ideal.

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Mechanical Advantage Calculator

What Is Mechanical Advantage?

Mechanical Advantage Formulas

Simple Machines

Frequently Asked Questions

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