Movement Ratio

Machines and movement ratio (velocity ratio)

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

movement ratio distance effort load

Examples are

  • pulley systems
  • gear systems
  • screw-jacks

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

Movement Ratio

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         (1)

where

Mr = movement ratio

se = distance moved by the effort

sl = distance moved by the load

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)

where

μ = machine efficiency

Fr = force ratio

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