engine power

Engine power is the power that an engine can develop. It can be expressed in power units, most commonly kilowatt, metric horsepower (often abbreviated PS), or horsepower. In terms of internal combustion engines, the engine power usually describes the ''rated power'', which is a power output that the engine can maintain over a long period of time according to a certain testing method, for example ISO 1585. In general though, an internal combustion engine has a power take-off shaft (the crankshaft), therefore, the rule for shaft power applies to internal combustion engines: Engine power is the product of the engine torque and the crankshaft's angular velocity.

Definition

Power is the product of torque and angular velocity:. p 233

Let:

*$P=$ Power in Watt (W)
*$M=$ Torque in Newton-metre (N·m)
*$n=$ Crankshaft speed per Second (s⁻¹)
*$\omega=$ Angular velocity = $2\pi n$

Power is then:

:$P= M \cdot \omega$

In internal combustion engines, the crankshaft speed $n$ is a more common figure than $\omega$, so we can use $2 \pi n$ instead, which is equivalent to $\omega$:. p. 21

:$P= M \cdot 2 \pi \cdot n$

Note that $n$ is per Second (s⁻¹). If we want to use the common per Minute (min⁻¹) instead, we have to divide $n$ by 60:

:$P= M \cdot 2 \pi \cdot$

Usage

Numerical value equations

The approximate numerical value equations for engine power from torque and crankshaft speed are:. p 154. p 259

International unit system (SI)

Let:

*$P=$ Power in Kilowatt (kW)
*$M=$ Torque in Newton-metre (N·m)
*$n=$ Crankshaft speed per Minute (min⁻¹)

Then:

:$P=$

Technical unit system (MKS)

*$P=$ Power in Metric horsepower (hp, PS)
*$M=$ Torque in Kilopondmetre (kp·m)
*$n=$ Crankshaft speed per Minute (min⁻¹)

Then:

:$P=$

Imperial/U.S. Customary unit system

*$P=$ Power in Horsepower (hp, bhp)
*$M=$ Torque in Pound-force foot (lbf·ft)
*$n=$ Crankshaft speed in Revolutions per Minute (rpm)

Then:

:$P=$

Example

A diesel engine produces a torque $M$ of 234 N·m at $n$ 4200 min⁻¹, which is the engine's rated speed.

Let:

*$M= 234 \, N \cdot m$
*$n= 4200 \, ^ = 70 \, s^$

Then:

:$234 \, N \cdot m \cdot 2 \pi \cdot 70 \, s^ = 102,919 \, N \cdot m \cdot s^ \approx 103 \, kW$

or using the numerical value equation:

:$= 102.91 \approx 103$

The engine's rated power output is 103 kW.

Units

See also

* List of production cars by power output

Bibliography

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References

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Mechanics
Power (physics)
Engines