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Force Ratio

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

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

Examples of machines are

pulley systems
gear systems
screw-jacks

A simple machine amplifies the input (effort) force to a larger output (load) force. The force ratio can be expressed as

F_r = F / S (1)

where

F_r = force ratio - mechanical advantage

F = load force (N, lb_f)

S = effort force (N, lb_f)

Example - Force Ratio for Pulley

The effort force for a pulley with 4 ropes, no friction loss (μ = 1) and load 100 kg is calculated to 245 N.

The force ratio can be estimated to

F_r = (100 kg) (9.81 m/s²) / (245 N)

= 4

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Related Topics

Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

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Force - Newton's third law - force vs. mass and acceleration.
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