Power

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

power 1Power, abbreviated as P or PWR, is the rate of doing work or the rate of using energy per unit time.

 

Power formula

\(\large{ P = \frac{W}{t}   }\) 
\(\large{ P = F \; v }\) 
\(\large{ P = \frac{F \; d}{t} }\) 
\(\large{ P = \Delta p \; Q }\)
\(\large{ P = \gamma \; h_l \; Q }\)
\(\large{ P = \frac{E}{t}   }\)
\(\large{ P = I^2 \; R   }\)

Where:

 Units English Metric
\(\large{ P }\) = power \(\large{W}\) \(\large{\frac{kg-m^2}{s^3}}\)
\(\large{ I }\) = current \(\large{I}\) \(\large{\frac{C}{s}}\)
\(\large{ d }\) = displacement \(\large{ft}\) \(\large{m}\)
\(\large{ E }\) = energy \(\large{lbf-ft}\) \(\large{J}\) 
\(\large{ F }\) = force \(\large{lbf}\) \(\large{N}\)
\(\large{ h_l }\) = head loss \(\large{ft}\) \(\large{m}\)
\(\large{ \Delta p }\) = pressure drop  \(\large{\frac{lbf}{in^2}}\)   \(\large{Pa}\)
\(\large{ R }\) = resistance \(\large{\Omega}\) \(\large{\frac{kg-m^2}{s^3-A^2}}\)
\(\large{ \gamma }\)  (Greek symbol gamma) = specific weight \(\large{\frac{lbf}{ft^3}}\)    \(\large{\frac{N}{m^3}}\) 
\(\large{ t }\) = time \(\large{sec}\) \(\large{s}\)
\(\large{ v }\) = velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\) 
\(\large{ Q }\) = volumetric flow rate \(\large{\frac{ft^3}{sec}}\)   \(\large{\frac{m^3}{s}}\)
\(\large{ W }\) = work \(\large{lbf-ft}\) \(\large{J}\) 

 

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Tags: Equations for Power