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Movement Ratio

Reference data and engineering information about movement ratio for miscellaneous applications.

movementratio

Overview

Engineering reference data for Movement Ratio in miscellaneous.

Key Formulas

Unit Conversion

y=xky = x \cdot k

Multiply by conversion factor.

Linear Interpolation

y=y1+(xx1)(y2y1)x2x1y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}

Estimate between two known points.

Percentage

p=partwhole×100%p = \frac{\text{part}}{\text{whole}} \times 100\%

Part as fraction of whole.

Variables

SymbolDescriptionUnit
xxInput value
yyOutput value
kkConversion factor

Simple Machine Examples

Common examples of simple machines include:

  • Pulley systems
  • Gear systems
  • Screw-jacks

These devices amplify an input force (effort) to a larger output force (load).

Movement Ratio Formula

The movement ratio (or velocity ratio) is expressed as:

Mr=seslM_r = \frac{s_e}{s_l}

where MrM_r is the movement ratio, ses_e is the distance moved by the effort, and sls_l is the distance moved by the load.

Machine Efficiency Relationship

Machine efficiency μ\mu relates the force ratio FrF_r to the movement ratio:

μ=FrMr\mu = \frac{F_r}{M_r}

Here, FrF_r is the force ratio, defined as the ratio of load to effort.

References