The Greek letter η (pronounced ee-tah) is the seventh letter of the Greek alphabet. It has several different uses in mathematics, science, and engineering.
In mathematical notation, η is often used to represent the following:
- The Heaviside step function in calculus and analysis.
- The Eta function in number theory.
- The hyperbolic tangent function in trigonometry and analysis.
In physics and engineering, η is used to represent: - Efficiency or energy conversion efficiency; η = Wout/Win × 100% (percentage)-or-Φ/Φ0; where (W) is work done or power output, Win is input work or power, and Phi(φ) is flux.
- Efficiency – the rate at which something produces results when compared to some other process that could have been used – the “goodness” of a design.
- In general terms: how much useful output you get from a system for a given amount of input.
Ex 1) gasoline engine with 25% efficiency means that for every gallon (input) of gas burned, only ¼ gallon gets turned into motion (useful output=work). Rest goes out of the tailpipe as heat (wasted energy).
Ex 2) If lightbulbs were 100% efficient then all electricity going into them would be turned into light instead of heat.
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