Mechanical Calculator

Author: Henrick Yau
- 5 August 2026
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Calculators

Calculate the mechanical advantage, efficiency, and performance of different mechanical systems including levers, pulleys, gears, and inclined planes. Determine force requirements, displacement ratios, and mechanical efficiency.

Select Mechanism Type

Lever Parameters

Distance from fulcrum to where force is applied
Distance from fulcrum to where load is placed
Weight or force of the load
%
Mechanical efficiency accounting for friction
The configuration of the lever system

Understanding Mechanical Advantage

Mechanical advantage (MA) is a measure of the force amplification achieved by using a mechanical device. It is the ratio of the output force to the input force. The mechanical advantage can be used to calculate how much easier a mechanism makes a job.

Simple Machines

Simple machines are devices that can change the direction or magnitude of a force. The six classical simple machines are:

  • Lever: A rigid bar that pivots around a fulcrum
  • Wheel and Axle: A wheel attached to an axle
  • Pulley: A wheel with a groove for a rope or cable
  • Inclined Plane: A flat surface set at an angle to the horizontal
  • Wedge: Two inclined planes set back-to-back
  • Screw: An inclined plane wrapped around a cylinder
Important Concepts
  • Ideal Mechanical Advantage (IMA): The mechanical advantage of a machine assuming no friction or energy losses
  • Actual Mechanical Advantage (AMA): The real mechanical advantage achieved, accounting for efficiency losses
  • Efficiency: The ratio of useful work output to work input, expressed as a percentage
  • Mechanical Efficiency: The ratio of the actual mechanical advantage to the ideal mechanical advantage
  • Velocity Ratio: The ratio of the distance moved by the effort to the distance moved by the load
Conservation of Energy

While mechanical advantage can reduce the force required, it follows the principle of conservation of energy. This means that:

  • If a mechanism reduces the force needed, it increases the distance over which the force must be applied
  • The work done (force × distance) remains constant (excluding losses due to friction)
  • Energy is neither created nor destroyed by a mechanism, only transformed

This calculator is for educational purposes only. Results are based on idealized models and may not account for all real-world factors. For critical applications, consult with a qualified engineer or specialist.