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Movement Ratio

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A machine is a device that can change the magnitude and line of action of a force.

Examples are

  • pulley systems
  • gear systems
  • screw-jacks

A simple machine amplifies the input force (effort) to a larger output force (load).

Movement Ratio

The movement ratio (or velocity ratio) of a machine is defined as the ratio of the distance moved by the effort to the distance moved by the load. Movement ratio can be expressed as

Mr = se / sl  

   = velocity ratio                         (1)


Mr = movement ratio

se = distance moved by the effort   (m, ft)

sl = distance moved by the load     (m, ft)

Machine Efficiency

The efficiency of a simple machine is defined as the ratio of the force ratio to the movement ratio and can be expressed as

μ = Fr / Mr                       (2)


μ = machine efficiency

Fr = force ratio

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Related Topics


Motion of bodies and the action of forces in producing or changing their motion - velocity and acceleration, forces and torque.


The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

Related Documents

Conn-Rod Mechanism

The connecting rod mechanism.

Force Ratio

The force ratio is the load force versus the effort force.

Motors - Speed vs. Pulley Diameter

Pulley (Sheave) selection charts for motors ranging 850 - 3450 rpm.


Pulleys, blocks and tackles.

Ratios and Proportions

The relative values between quantities - ratios and proportions.

Screw Jack - Effort Force vs. Load

Screw jacks and effort forces.

Toggle Joint

A toggle joint mechanism can be used to multiply force.

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