Mechanical advantage
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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.
The mechanical advantage of a machine is the ratio of the load (the resistance overcome by a machine) to the effort (the force applied).
- [math]\displaystyle{ MA = \frac{\text{output force}}{\text{input force}} }[/math]
For an ideal (without friction) mechanism, it is also equal to:
- [math]\displaystyle{ MA = \frac{\text{distance over which effort is applied}}{\text{distance over which the load is moved}} }[/math]
There is no unit for mechanical advantages since the unit for both input and output forces cancel out.