Paritian

Mechanics

Lever Calculator

Output force and mechanical advantage of a lever from the two arm lengths.

Results

Force 750.00 N
Ratio 3.7500

What this tool does

A lever multiplies force in exact proportion to the arm lengths, trading distance for effort: a three-to-one advantage means moving your end three times as far. Friction and the weight of the lever itself are ignored.

Formula

F₁ × d₁ = F₂ × d₂

Variables

SymbolMeaningUnit
f1ForceN
d1Distancem
d2Distancem
F2ForceN
maRatio

Worked example

  • Force200 N
  • Distance1.5 m
  • Distance0.4 m
  • Force750.00 N
  • Ratio3.7500

Limitations

  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.