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# 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. 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)

where

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)

where

μ = machine efficiency

Fr = force ratio

## Related Topics

• ### Dynamics

Motion - velocity and acceleration, forces and torque.
• ### Mechanics

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

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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## Citation

• The Engineering ToolBox (2008). Movement Ratio. [online] Available at: https://www.engineeringtoolbox.com/movement-ratio-d_1295.html [Accessed Day Month Year].

Modify the access date according your visit.

9.19.12