Power and efficiency of an engine (AQA A-Level Physics): Flashcards

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Power and efficiency of an engine
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Input power formula

Pextinput=extcalorificvalueimesextflowrateP_{ ext{input}} = ext{calorific value} imes ext{flow rate}

Calorific value definition

Energy released per kilogram of fuel burned

Indicated power definition

Theoretical max power output assuming no frictional losses

Output power (brake power) formula

Pextout=TomegaP_{ ext{out}} = Tomega (torque × angular velocity)

Frictional power formula

Pextfriction=PextindPextoutP_{ ext{friction}} = P_{ ext{ind}} - P_{ ext{out}}

1 brake horsepower (bhp) in watts

746 W

Convert rpm to rad/s formula

ω=rpm×2π60\omega = \frac{\text{rpm} \times 2\pi}{60}

Mechanical efficiency formula

η=PoutPind\eta = \frac{P_{\text{out}}}{P_{\text{ind}}}

Thermal efficiency formula

ε=PindPinput\varepsilon = \frac{P_{\text{ind}}}{P_{\text{input}}}

Overall efficiency relationship

PoutPinput=η×ε\frac{P_{\text{out}}}{P_{\text{input}}} = \eta \times \varepsilon

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