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Efficiency

Efficiency, abbreviated as \(\eta\) (Greek symbol eta), a dimensionless number, is expressed in percentage and always less than 100%.  Efficiency is a measure of how effectively a system or process converts inputs into outputs.  It quantifies the ratio of useful output or work obtained from a system to the total input or energy supplied to the system.  In general, efficiency is a measure of how well a system performs in achieving its intended purpose while minimizing waste or losses. 

Energy Efficiency Formula

\( \eta \;=\; \left( \dfrac{ E_o }{ E_i } \right) \cdot 100 \)     (Energy Efficiency)

\( E_o \;=\; \dfrac{ \eta \cdot E_i }{ 100 }\)

\( E_i \;=\; \dfrac{  E_o \cdot 100 }{ \eta }\)

Symbol English Metric
\( \eta \)  (Greek symbol eta) = Energy Efficiency \(dimensionless\) \(dimensionless\)
\( E_o \) = Output Energy \(ft-lbf\) \(J\)
\( E_i \) = Input Energy \(ft-lbf\) \(J\)

Efficiency is an important factor in various fields, including energy production, manufacturing, transportation, and sustainability.  Improving efficiency can lead to reduced waste, increased productivity, cost savings, and a more sustainable use of resources. 

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Work Efficiency Formula

\( \eta \;=\;\left( \dfrac{ W_o }{ W_i } \right) \cdot 100 \)     (Work Efficiency)

\( W_o \;=\; \dfrac{ \eta \cdot W_i }{ 100 }\)

\( W_i \;=\; \dfrac{ W_o \cdot 100 }{ \eta }\)

Symbol English Metric
\( \eta \)  (Greek symbol eta) = Work Efficiency \(dimensionless\) \(dimensionless\)
\( W_o \) = Output Work \(ft-lbf\) \(J\)
\( W_i \) = Input Work \(ft-lbf\) \(J\)