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