Exercise
https://texercises.com/exercise/aluminiumzylinder-anheben/
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The following quantities appear in the problem: Masse \(m\) / Energie \(E\) / Volumen \(V\) / Ortsfaktor \(g\) / Höhe \(h\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(E_{\rm \scriptscriptstyle pot} = mgh \quad \) \(V = \pi r^2 \cdot h \quad \)
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Exercise:
Ein HO hoher Aluminiumzylinder rAlO kann mit EO um hO angehoben werden. Welchen Radius hat er?

Solution:
Geg h' HO H E EO E h hO h GesRadiusrsim Der Zylinder hat m fracEgh fracEncg h m Masse und damit V fracmrho fracfracEghrho fracErho gh fracmrAl V Volumen woraus sich r sqrtfracVpi h' sqrtfracfracErho ghpi h' sqrtfracEpi rho g h h' sqrtfracVpi H r approx rS rP- Radius errechnen. r sqrtfracVpi h' rS rP-
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Exercise:
Ein HO hoher Aluminiumzylinder rAlO kann mit EO um hO angehoben werden. Welchen Radius hat er?

Solution:
Geg h' HO H E EO E h hO h GesRadiusrsim Der Zylinder hat m fracEgh fracEncg h m Masse und damit V fracmrho fracfracEghrho fracErho gh fracmrAl V Volumen woraus sich r sqrtfracVpi h' sqrtfracfracErho ghpi h' sqrtfracEpi rho g h h' sqrtfracVpi H r approx rS rP- Radius errechnen. r sqrtfracVpi h' rS rP-
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Attributes & Decorations
Tags
aluminium, dichte, energie, masse, mechanik, physik, potentielle energie, volumen, zylinder
Content image
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link