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Units of Power

 

Description

Examples

Description

• 

Power has the dimension length squared mass per time cubed. The SI unit of power is the watt, which is defined as a kilogram meter squared per second cubed.

• 

Maple knows the units of power listed in the following table.

Name

Symbols

Context

Alternate Spellings

Prefixes

 

 

 

 

 

watt

W

SI *

watts

SI

poncelet

 

standard *

poncelets

 

donkeypower

 

standard *

donkeypowers

 

 

 

 

 

 

horsepower

hp

UK *

horsepowers

 

 

 

boiler

 

 

 

 

electric

 

 

 

 

metric

 

 

 

 

water

 

 

ton

 

refrigeration

tons

 

abwatt

abW

EMU *

abwatts

SI

statwatt

statW

ESU *

statwatts

SI

planck\{}power

 

planck *

planck\{}powers

 

voltampere

VA

power

voltamperes

SI

voltampere\{}reactive

var

power

voltamperes\{}reactive

SI

  

An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively.  Refer to a unit in the Units package by indexing the name or symbol with the context, for example, watt[SI] or abW[EMU]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, watt or abW.

  

 

  

The units of power are defined as follows.

  

A poncelet is defined as 100 meters kilogramforce per second.

  

A donkeypower is defined as 250 watts.

  

A planck power is defined as a planck length squared times planck mass per planck time cubed.

The Horsepower

• 

A horsepower originated as the approximate power with which one horse can pull.

  

A UK horsepower is defined as 550 feet poundforce per second.

  

A boiler horsepower is defined as approximately 9809.50 watts.

  

An electric horsepower is defined as 746 watts.

  

A metric horsepower, which has been called the cheval vapeur, is defined as the power needed to lift 75 kilograms at 1 meter per second, assuming standard acceleration of free fall.

  

A water horsepower is defined as approximately 746.043 watts.

  

A ton of refrigeration is defined as a short ton International Table British thermal unit per pound day.

  

The abwatt and statwatt are defined as an erg per second or 1.×10−7 watt.

Examples

convertW,dimensions,base=true

length2masstime3

(1)

convert6,units,W,hpUK

10000000000000012428331193037837

(2)

convert1.0,units,hpwater,hpboiler

0.07605311178

(3)

convert342,units,kW,poncelet

68400000196133

(4)

See Also

convert/dimensions

convert/units

Units

Units/energy

Units/Index

Units/length

Units/mass

Units/time

 


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