Exercise
https://texercises.com/exercise/initial-filling-in-aluminum-canister/
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The following quantities appear in the problem: Länge \(\ell\) / Temperatur \(T\) / Volumen \(V\) / Längenausdehnungskoeffizient \(\alpha\) / Volumenausdehnungskoeffizient \(\gamma\) /
The following formulas must be used to solve the exercise: \(\ell = \ell_0 \cdot (1+ \alpha \cdot \Delta\vartheta) \quad \) \(\Delta \ell = \ell_0 \cdot \alpha \cdot \Delta\theta \quad \) \(V = V_0 \cdot (1+ \gamma \cdot \Delta\vartheta) \quad \)
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Exercise:
An aluminum VzO-canister FormelbuchaAlO is used to transport machine oil aOlO. What is the maximum oil volume that can be filled at TaO if heating to TbO is expected? The expansion of the canister must be taken o account.

Solution:
Bei einer Temperaturerhöhung um dTQ hat der Kanister neu sscVK sscVK +alpha Deltatheta Vz + aAl dTQ VkS VklP Füllvolumen. Die VklP Maschinenöl haben bei TaO also dTO tiefer noch sscVM sscVM +gamma Deltatheta sscVK +alpha Deltatheta +gamma Deltatheta VkS +aOl qtydTmQ VmS VmlP Volumen. Es dürfen also nicht ganz VmlP eingefüllt werden. sscVM sscVK +alpha Deltatheta +gamma Deltatheta VmS VmlP
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Exercise:
An aluminum VzO-canister FormelbuchaAlO is used to transport machine oil aOlO. What is the maximum oil volume that can be filled at TaO if heating to TbO is expected? The expansion of the canister must be taken o account.

Solution:
Bei einer Temperaturerhöhung um dTQ hat der Kanister neu sscVK sscVK +alpha Deltatheta Vz + aAl dTQ VkS VklP Füllvolumen. Die VklP Maschinenöl haben bei TaO also dTO tiefer noch sscVM sscVM +gamma Deltatheta sscVK +alpha Deltatheta +gamma Deltatheta VkS +aOl qtydTmQ VmS VmlP Volumen. Es dürfen also nicht ganz VmlP eingefüllt werden. sscVM sscVK +alpha Deltatheta +gamma Deltatheta VmS VmlP
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aluminium, ausdehnung, festkörper, flüssigkeit, physik, tabellenwerk, volumen, wärmelehre, öl
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(3, default)
Points
5 (default)
Language
ENG (English)
Type
Calculative / Quantity
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