\[MA=\frac{d_e}{d_l}=\frac{F_l}{F_e}\]
Variables
MAmechanical advantage
deeffort arm length (m)
dlload arm length (m)
Feeffort force (N)
Flload force (N)
Description
What is this formula?
This formula calculates the mechanical advantage of a lever. Mechanical advantage describes how much a lever amplifies force depending on the lengths of the effort and load arms.
When to use it
Use this formula in biomechanics, physics, ergonomics, or mechanical analysis when studying levers such as bones and joints in the human body.
Example
A forearm acts as a lever with:
de=0.04 m
dl=0.32 m
Formula:
MA=de/dl
Substitution:
MA=0.04/0.32
Result:
MA=0.125
The lever has a mechanical advantage of 0.125.
Applications
- Human biomechanics
- Ergonomic analysis
- Prosthetic design
- Mechanical systems
- Sports science