Difference between revisions of "Work"

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In [[physics]], '''work''' refers to the [[scalar product]] of [[force]] and [[distance]] vectors
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<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref>.
 
 
 
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<math>\bold{W} = \bold{F} \cdot \bold{d}</math>
 
 
 
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Or:
 
 
 
<math>\bold{W} = \bold{F} \cdot \bold{d} \cos\theta</math>
 
 
 
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Where θ is the angle that separates the vectors. The second form of the equation is the expanded form of the "dot product" in the first equation. In physics, the dot product "a · b" (read "a dot b") can be rewritten as "a b cos θ".
 
 
 
When the force is not constant, the correct expression uses [[integration]]:
 
 
 
<math>\int \bold{F} \cdot \mathrm{d}\bold{s}</math>
 
 
 
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Work is a transfer of [[energy]]; if ''W'' is positive, there is a transfer of energy ''to'' the system, and if ''W'' is negative there is a transfer of energy ''from'' the system.
 
 
 
Its units are that of force multiplied by distance, in SI this is [[newton (unit)|Newton]] · [[Meter]], or [[Joule]]. The aberrant unit kWh (kilowatt-hour) is sometimes used; this unit is the product of kilowatt, or 1,000 Watts (Joules per second), and hour, or 3,600 seconds.
 
 
 
==References==
 
<references/>
 
[[category:physics]]
 
[[Category:Mechanics]]
 

Revision as of 15:15, April 30, 2010

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