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Lesson 23 · Nothing is perfect
Useful out, over everything in
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Useful out, over everything in

No machine hands back every joule: friction, heat and noise all take their cut. Efficiency is the honest ratio η=WoutWin\eta = \dfrac{W_{out}}{W_{in}} (read aloud: eta equals W-out over W-in — η\eta is the Greek letter eta). The subscripts say which side of the machine you are standing on: WinW_{in} is everything paid in, WoutW_{out} is the useful work that comes back out, both in joules, and η\eta is what you are solving for. Joules over joules: the units cancel, leaving a pure number, usually dressed as a percent.

Two rails to check every answer against. An efficiency over 100% means more energy out than in — the first law of thermodynamics files an immediate complaint. And 100% minus your answer is the share LOST — a real number, answering a different question. Know which one the paper asked for.

ηWinWout

η=WoutWin\eta = \frac{W_{out}}{W_{in}}

  • η\eta= Efficiency
  • WoutW_{out}= Useful work output (energy)
  • WinW_{in}= Work input (energy)
Machine Efficiency solver →

P=WtP = \frac{W}{t}

  • PP= Power (power)
  • WW= Work or energy (energy)
  • tt= Time (time)
Power (P = W/t) solver →