# 功率

## 平均功率

${\displaystyle P_{\text{avg))={\frac {\Delta W}{\Delta t))}$

${\displaystyle P=\lim _{\Delta t\to 0}{\frac {\Delta W}{\Delta t))={\frac ((\rm {d))W}((\rm {d))t))}$

${\displaystyle W=PT\,.}$

## 力学

${\displaystyle W=\mathbf {F} \cdot \mathbf {d} }$

${\displaystyle P(t)=\mathbf {F} (t)\cdot \mathbf {v} (t)}$

${\displaystyle P_{avg}={\frac {1}{\Delta t))\int \mathbf {F} \cdot \mathbf {v} \;\mathrm {d} t}$

${\displaystyle P(t)={\boldsymbol {\tau ))\cdot {\boldsymbol {\omega ))}$

${\displaystyle P_{avg}={\frac {1}{\Delta t))\int {\boldsymbol {\tau ))\cdot {\boldsymbol {\omega ))\mathrm {d} t}$.

${\displaystyle P=p\cdot Q}$

### 机械效益

${\displaystyle P=F_{A}v_{A}=F_{B}v_{B},\!}$

${\displaystyle \mathrm {MA} ={\frac {F_{B)){F_{A))}={\frac {v_{A)){v_{B))}.}$

${\displaystyle P=T_{A}\omega _{A}=T_{B}\omega _{B},\!}$

${\displaystyle \mathrm {MA} ={\frac {T_{B)){T_{A))}={\frac {\omega _{A)){\omega _{B))}.}$

## 电功率

${\displaystyle P(t)=V(t)I(t)}$

${\displaystyle P=VI=I^{2}R={\frac {V^{2)){R))}$

## 峰值功率及占空比

${\displaystyle P_{0}=\max[p(t)]}$.

${\displaystyle \epsilon _{\mathrm {pulse} }=\int _{0}^{T}p(t)\mathrm {d} t\,}$

${\displaystyle P_{\mathrm {avg} }={\frac {1}{T))\int _{0}^{T}p(t)\mathrm {d} t={\frac {\epsilon _{\mathrm {pulse} )){T))\,}$

${\displaystyle {\frac {P_{\mathrm {avg} )){P_{0))}={\frac {\tau }{T))\,}$

## 参考

1. ^ Halliday and Resnick. 6. Power. Fundamentals of Physics. 1974.
2. Chapter 13, § 3, pp 13-2,3 The Feynman Lectures on Physics Volume I, 1963
3. ^ Chapter 6 § 7 Power Halliday and Resnick, Fundamentals of Physics 1974.
4. ^ 烧一公斤的煤会放出每公斤15－30百万焦耳的能量，而引爆一公斤的三硝基甲苯会产生4.7百万焦耳的能量，有关煤的热值，可以参考Fisher, Juliya. Energy Density of Coal. The Physics Factbook. 2003 [30 May 2011]. （原始内容存档于2006-11-07）.有关三硝基甲苯的热值，可以参考爆炸当量条目。
5. Electric Power and Energy. [2010-05-18].[永久失效链接]

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