Wirkradius für einen reibungsbehafteten Kreisring mit Innendurchmesser r_i und Außendurchmesser r_a
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![{\displaystyle M_{Brems}(r_{i},r_{a})=\int _{r_{i}}^{r_{a}}{\rho \cdot F_{Ringflaeche}(\rho )}{(d\rho )}=\int _{r_{i}}^{r_{a}}{\rho \cdot p\cdot A_{Ringflaeche}(\rho )}{(d\rho )}=\int _{r_{i}}^{r_{a}}{\rho \cdot p\cdot 2\cdot \pi \cdot \rho }{(d\rho )}=2\pi p\int _{r_{i}}^{r_{a}}{\rho ^{2}}{(d\rho )}=2\pi p[{\frac {r^{3}}{3}}]_{r_{i}}^{r_{a}}={\frac {2}{3}}[r_{a}^{3}-r_{i}^{3}]\pi p}](https://wikimedia.org/api/rest_v1/media/math/render/svg/10619e16f59ed7fab8a2f11315144b3ab6676e7d)
![{\displaystyle M_{Brems}(r_{i},r_{a})={\frac {2}{3}}[{\frac {r_{a}^{3}-r_{i}^{3}}{r_{a}^{2}-r_{i}^{2}}}]\underbrace {\pi p(r_{a}^{2}-r_{i}^{2})} _{F}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/554baeaa8bf907d1a31663f44ceaca64cda3aad7)
