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https://texercises.com/exercise/rotierende-scheibe-2/
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The following quantities appear in the problem: Masse \(m\) / Energie \(E\) / Trägheitsmoment \(J, \Theta, I\) / Radius \(r\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) /
The following formulas must be used to solve the exercise: \(E = \frac12 J\omega^2 \quad \) \(J = \frac12 mr^2 \quad \)
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Exercise:
Berechne den Radius einer homogenen kreisförmigen .cm hohen Scheibe aus Eisen .grampercubiccentimeter falls diese bei einer Zehntelssekunde Umlaufzeit um ihre Symmetrieachse eine Rotationsenergie von .kJ hat.

Solution:
r sqrtfracEpirho omega^ h sqrtfrac Jpikilogrampercubiccentimeter pi Hz^ .m .m .cm
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Exercise:
Berechne den Radius einer homogenen kreisförmigen .cm hohen Scheibe aus Eisen .grampercubiccentimeter falls diese bei einer Zehntelssekunde Umlaufzeit um ihre Symmetrieachse eine Rotationsenergie von .kJ hat.

Solution:
r sqrtfracEpirho omega^ h sqrtfrac Jpikilogrampercubiccentimeter pi Hz^ .m .m .cm
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Attributes & Decorations
Topic
Tags
mechanik, physik, rotation, rotationsenergie, scheibe, trägheitsmoment
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image

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