## Power

 $P$ $\mathrm{W}$ power $\eta$ efficiency $W$ $\mathrm{J}$ work $E$ $\mathrm{J}$ energy $F$ $\mathrm{N}$ force $v$ $\mathrm{m/s}$ velocity $s$ $\mathrm{m}$ distance, way travelled $t$ $\mathrm{s}$ time

### Leistung

$$P = \frac{\mathrm{d}W}{\mathrm{d}t} \qquad P = \vec{F} \, \frac{ \mathrm{d}\vec{s}}{\mathrm{d}t} \qquad P = \vec{F} \, \vec{v}$$

Mittlere Leistung

$$P_m = \frac{W_{tot}}{t_{tot}}$$

$$\eta = \frac{W_{out}}{W_{in}} \qquad \eta = \frac{E_{out}}{E_{in}} \qquad \eta = \frac{P_{out}}{P_{in}}$$
$$\eta = \frac{ \displaystyle{ \int\limits_0^{t_{in}} \! P_{out} \;\mathrm{d}t } }{ \displaystyle{ \int\limits_0^{t_{in}} \! P_{in} \;\mathrm{d}t } } \qquad \eta = \prod_{i=1}^n \eta_i = \eta_1 \; \eta_2 \; \eta_3 \; \ldots$$