Watt: Difference between revisions
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The '''watt''' is a [[SI derived unit|derived unit]] of [[power (physics)|power]] in the [[International System of Units]] (SI), named after the [[18th-century]] [[Scotland|Scottish]] engineer [[James Watt]]. Its unit symbol is '''W'''. The unit measures the rate of energy conversion. |
The '''watt''' is a you are stupid [[SI derived unit|derived unit]] of [[power (physics)|power]] in the [[International System of Units]] (SI), named after the [[18th-century]] [[Scotland|Scottish]] engineer [[James Watt]]. Its unit symbol is '''W'''. The unit measures the rate of energy conversion. |
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*One watt is equal to 1 [[joule]] (J) of [[energy]] per [[second]]. |
*One watt is equal to 1 [[joule]] (J) of [[energy]] per [[second]]. |
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*In terms of mechanical energy, one watt is the rate at which work is done when an object is moved at a speed of one meter per second against a force of one [[Newton (unit)|newton]]. |
*In terms of mechanical energy, one watt is the rate at which work is done when an object is moved at a speed of one meter per second against a force of one [[Newton (unit)|newton]]. |
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:{{gaps|1|W}} = {{gaps|1|J|s<sup>-1</sup>}} = {{gaps|1|kg|m<sup>2</sup>|s<sup>-3</sup>}} = {{gaps|1|N|m|s<sup>-1</sup>}} |
:{{gaps|1|W}} = {{gaps|1|J|s<sup>-1</sup>}} = {{gaps|1|kg|m<sup>2</sup>|s<sup>-3</sup>}} = {{gaps|1|N|m|s<sup>-1</sup>}}hell |
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*By the definitions of electric potential ([[volt]]) and current ([[ampere]]), work is done at a rate of one watt when one ampere flows through a potential difference of one volt.<ref>{{cite web |
*By the definitions of electric potential ([[volt]]) and current ([[ampere]]), work is done at a rate of one watt when one ampere flows through a potential difference of one volt.<ref>{{cite web |
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|title=Amps, Volts, Watts, Ohms |
|title=Amps, Volts, Watts, Ohms |
Revision as of 09:28, 19 February 2010
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The watt is a you are stupid derived unit of power in the International System of Units (SI), named after the 18th-century Scottish engineer James Watt. Its unit symbol is W. The unit measures the rate of energy conversion.
- One watt is equal to 1 joule (J) of energy per second.
- In terms of mechanical energy, one watt is the rate at which work is done when an object is moved at a speed of one meter per second against a force of one newton.
- 1W = 1Js-1 = 1kgm2s-3 = 1Nms-1hell
- By the definitions of electric potential (volt) and current (ampere), work is done at a rate of one watt when one ampere flows through a potential difference of one volt.[1]
- 1W=1V×1A
Examples of usage
A human climbing a flight of stairs is doing work at a rate of about 200watts. A typical passenger automobile engine yields a power output of 25000watts while cruising. A typical household incandescent light bulb has a power rating of 25 to 100 watts; fluorescent lamps typically consume 5 to 30 watts to produce a similar amount of light, while comparable LED lamps use about 0.5 to 6 watts.
Origin and adoption as an SI unit
The watt is named after James Watt for his contributions to the development of the steam engine. The unit was recognized by the Second Congress of the British Association for the Advancement of Science in 1889. The 11th General Conference on Weights and Measures in 1960 adopted it for the measurement of power into the International System of Units (SI).
Multiples
- For additional examples of magnitude for multiples and submultiples of the Watt, see Orders of magnitude (power)
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Nanowatt
The nanowatt is equal to one billionth of a watt. A surface area of one square meter on Earth receives one nanowatt of power from a single star of apparent magnitude +3.5.
Microwatt
The microwatt is equal to one millionth of a watt.
Milliwatt
The milliwatt is equal to one thousandth of a watt. A typical laser pointer might output 5 milliwatts while a typical hearing aid consumes less than one milliwatt.[2]
Kilowatt
The kilowatt is equal to one thousand watts. It is typically used to state the output power of engines and the power consumption of tools and machines. A kilowatt is approximately equivalent to 1.34 horsepower. An electric heater with one heating element might use 1 kilowatt. The average annual electrical energy consumption of a household in the United States is about 8,900 kilowatt-hours, equivalent to a sustained average power use of about 1 kW.[3]
Megawatt
The megawatt is equal to one million watts. Many events or machines produce or sustain the conversion of energy on this scale. For example: lightning strikes, large electric motors, naval craft (such as aircraft carriers and submarines), engineering hardware, and some scientific research equipment, such as supercolliders and large lasers. A large residential or commercial building may consume several megawatts in electric power and heat.
The productive capacity of electrical generators operated by a utility company is often measured in MW. On railways, modern high-powered electric locomotives typically have a peak power output of 5 or 6 MW although some produce much more--the Eurostar, for example, consumes more than 12 MW--while heavy diesel-electric locomotives typically consume 3 to 5 MW. U.S. nuclear power plants have net summer capacities between about 500 and 1300 MW.[4]
The earliest citing of the megawatt in the Oxford English Dictionary (OED) is a reference in the 1900 Webster's International Dictionary of English Language. The OED also states that megawatt appeared in a 28 November 1947 article in the journal Science (506:2).
Gigawatt
The gigawatt is equal to one billion watts. This unit is sometimes used for large power plants or power grids. For example, in 2009, the installed capacity of wind power in Germany was 25 GW. The Nuclear Plant Doel has a capacity of 3 GW.
Terawatt
The terawatt is equal to one trillion watts. The total power used by humans worldwide (about 16 TW in 2006) is commonly measured in this unit. The most powerful lasers from the mid-1960s to the mid-1990s produced power in terawatts, but only for nanosecond time frames. The average stroke of lightning peaks at 1 terawatt, but these strokes only last for 30 microseconds.
Petawatt
The petawatt is equal to one quadrillion watts and can be produced by the current generation of lasers for time-scales of the order of femtoseconds (10-15 s). Based on the average of 1.366 kW/m2 of total solar irradiance[5] the total energy flow of sunlight striking Earth's atmosphere is estimated at 174 PW (cf. Solar Constant). If this power was completely absorbed, it would be equivalent to the Earth gaining mass at a rate of 1.94 kg/s.
Electrical and thermal watts
In the electric power industry, megawatt electrical (abbreviation: MWe[6] or MWe[7]) is a term that refers to electric power, while megawatt thermal or thermal megawatt[8] (abbreviations: MWt, MWth, MWt, or MWth) refers to thermal power produced. Other SI prefixes are sometimes used, for example gigawatt electrical (GWe).[notes 1]
For example, the Embalse nuclear power plant in Argentina uses a fission reactor to generate 2109 MWt of heat, which creates steam to drive a turbine, which generates 648 MWe of electricity. The difference is due to the inefficiency of steam-turbine generators and the limitations of the theoretical Carnot Cycle.
Confusion of watts, watt-hours, and watts per hour
Power and energy are frequently confused. Power is the rate at which energy is generated and consumed.
For example, when a light bulb with a power rating of 100W is turned on for one hour, the energy used is 100 watt-hours (W·h), 0.1 kilowatt-hour, or 360 kJ. This same amount of energy would light a 40-watt bulb for 2.5 hours, or a 50-watt bulb for 2 hours. A power station would be rated in multiples of watts, but its annual energy sales would be in multiples of watt-hours. A kilowatt-hour is the amount of energy equivalent to a steady power of 1 kilowatt running for 1 hour, or 3.6 MJ.
Terms such as watts per hour are often misused.[9] Watts per hour properly refers to the change of power per hour. Watts per hour (W/h) might be useful to characterize the ramp-up behavior of power plants. For example, a power plant that reaches a power output of 1 MW from 0 MW in 15 minutes has a ramp-up rate of 4 MW/h. Hydroelectric power plants have a very high ramp-up rate, which makes them particularly useful in peak load and emergency situations.
Major energy production or consumption is often expressed as terawatt-hours for a given period that is often a calendar year or financial year. One terawatt-hour is equal to a sustained power of approximately 114 megawatts for a period of one year.
See also
- Volt-ampere
- Conversion of units
- Kilowatt-peak
- Declared net capacity (power plants)
- Power factor
- Root mean square (RMS)
- Watt balance
- Wattmeter
Notes
- ^ 'Megawatt electrical' and 'megawatt thermal' are not SI units, Taylor 1995, Guide for the Use of the International System of Units (SI), NIST Special Publication SP811 The International Bureau of Weights and Measures states that unit symbols should not use subscripts to provide additional information about the quantity being measured, and regards these symbols as incorrect. International Bureau of Weights and Measures. (2006). The International System of Units (SI). 132.
References
- ^ "Amps, Volts, Watts, Ohms". Retrieved 17 April 2007.
- ^ Trudy Stetzler, Neeraj Magotra, Pedro Gelabert, Preethi Kasthuri, Sridevi Bangalore. "Low-Power Real-Time Programmable DSP Development Platform for Digital Hearing Aids". Datasheet Archive. Retrieved 2010-02-08.
{{cite web}}
: CS1 maint: multiple names: authors list (link) - ^ "The Physics Factbook". Retrieved 17 February 2009.
- ^ "2007–2008 Information Digest, Appendix A" (PDF). Nuclear Regulatory Commission. 2007. Retrieved 27 January 2008.
- ^ "Construction of a Composite Total Solar Irradiance (TSI) Time Series from 1978 to present". Retrieved 2005-10-05.
- ^ Cleveland, C. J. (2007). "Watt". Encyclopedia of Earth.
- ^ "How Many? A Dictionary of Units of Measurement".
- ^ "Solar Energy Grew at a Record Pace in 2008 (excerpt from EERE Network News - U.S. Department of Energy)". March 25, 2009.
- ^ "Inverter Selection". Northern Arizona Wind and Sun. Retrieved 27 March 2009.
External links
- Nelson, Robert A., "The International System of Units Its History and Use in Science and Industry". Via Satellite, February 2000.