# Mechanical advantage

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Machines that multiply force.

Mechanical advantage (also written as MA in formulas) is the factor by which a machine multiplies force. The mechanical advantage of a machine can be used to find out how well a machine works and whether it can perform a particular job.

$MA = \frac{\text{output force}}{\text{input force}}$

For an ideal (without friction) mechanism, it is also equal to:

$MA = \frac{\text{distance over which effort is applied}}{\text{distance over which the load is moved}}$

There is no unit for mechanical advantages since the unit for both input and output forces cancel out.