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https://texercises.com/exercise/dichte-einer-kugel/
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The following quantities appear in the problem: Masse \(m\) / Volumen \(V\) / Höhe \(h\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(V = \dfrac{4}{3}\pi r^3 \quad \) \(V = \pi r^2 \cdot h \quad \)
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Exercise:
Welche Dichte müsste eine Kugel mit rO Radius haben damit ihr Trägheitsmoment JO wäre?

Solution:
Es gilt: J frac m r^ frac rho V r^ frac rho fracpi r^ r^ frac pi rho r^ Daraus folgt für die Dichte: rho fracJpi r^ roh
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Exercise:
Welche Dichte müsste eine Kugel mit rO Radius haben damit ihr Trägheitsmoment JO wäre?

Solution:
Es gilt: J frac m r^ frac rho V r^ frac rho fracpi r^ r^ frac pi rho r^ Daraus folgt für die Dichte: rho fracJpi r^ roh
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Attributes & Decorations
Asked Quantity
Tags
dichte, kugel, mechanik, physik, radius, rotation, trägheitsmoment, volume
Difficulty
(2, default)
Points
2 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
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