Units of Power - Maple Programming Help

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Units of Power

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

 > $\mathrm{convert}\left('W','\mathrm{dimensions}','\mathrm{base}'=\mathrm{true}\right)$
 $\frac{{{\mathrm{length}}}^{{2}}{}{\mathrm{mass}}}{{{\mathrm{time}}}^{{3}}}$ (1)
 > $\mathrm{convert}\left(6,'\mathrm{units}','W','\mathrm{hp}\left[\mathrm{UK}\right]'\right)$
 $\frac{{100000000000000}}{{12428331193037837}}$ (2)
 > $\mathrm{convert}\left(1.0,'\mathrm{units}','\mathrm{hp}\left[\mathrm{water}\right]','\mathrm{hp}\left[\mathrm{boiler}\right]'\right)$
 ${0.07605311178}$ (3)
 > $\mathrm{convert}\left(342,'\mathrm{units}','\mathrm{kW}','\mathrm{poncelet}'\right)$
 $\frac{{68400000}}{{196133}}$ (4)