Question
Efficiency is a comparison of how much work goes INTO a machine versus how much work COMES OUT of a machine. How is efficiency expressed? in kilograms as a percentage (\%)
Ask by Dunn Macdonald. in the United States
Jan 23,2025
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Answer
Efficiency is expressed as a percentage (%).
Solution
Efficiency is typically expressed **as a percentage (%)**. It quantifies how effectively a machine converts input work into output work. The formula for calculating efficiency is:
\[
\text{Efficiency (\%)} = \left( \frac{\text{Output Work}}{\text{Input Work}} \right) \times 100
\]
For example, if a machine uses 100 joules of input energy and produces 80 joules of useful output energy, its efficiency would be:
\[
\text{Efficiency} = \left( \frac{80}{100} \right) \times 100 = 80\%
\]
This means that 80% of the input energy is effectively converted into useful work, while the remaining 20% may be lost to factors like heat, friction, or sound.
**Key Point:** Efficiency is commonly expressed as a percentage to easily compare the performance of different machines or systems.
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Beyond the Answer
Efficiency is expressed as a percentage, indicating the proportion of input work that is converted into useful output work. This percentage helps in understanding how effectively a machine uses its energy input; the closer this number is to 100%, the more efficient the machine is. In practical terms, if a machine does 80 units of work while requiring 100 units of work to operate, its efficiency would be 80%. This type of metric is crucial for industries aiming to optimize performance and reduce energy costs, making it a key player in engineering and manufacturing!