Exercise
https://texercises.com/exercise/energie-eines-autoreifens/
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The following quantities appear in the problem: Masse \(m\) / Energie \(E\) / Geschwindigkeit \(v\) / Trägheitsmoment \(J, \Theta, I\) / Radius \(r\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) /
The following formulas must be used to solve the exercise: \(v = r \omega \quad \) \(E_{\rm \scriptscriptstyle kin} = \dfrac12 mv^2 \quad \) \(E = \frac12 J\omega^2 \quad \)
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Exercise:
Berechne die totale Energie eines auf einer horizontalen Strasse mit pq rollen Autoreifens pqkg als Vollzylinder anzusehen.

Solution:
Die totale Energie ist: Etot Ekin + Erot frac mv^ + frac Iomega^ frac mv^ + frac frac mr^ leftfracvrright^ frac mv^ + frac mv^ fracmv^ pqJ
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Exercise:
Berechne die totale Energie eines auf einer horizontalen Strasse mit pq rollen Autoreifens pqkg als Vollzylinder anzusehen.

Solution:
Die totale Energie ist: Etot Ekin + Erot frac mv^ + frac Iomega^ frac mv^ + frac frac mr^ leftfracvrright^ frac mv^ + frac mv^ fracmv^ pqJ
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Attributes & Decorations
Topic
Tags
autoreifen, mechanik, physik, rolle, rotation, satz, steiner, trägheitsmoment
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
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