Berechne \( k_2 d_2^2 = 50 \times 1^2 = 50 \).
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- ### Frage 9
- Ein Materialwissenschaftler untersucht die Wärmeleitfähigkeit \( k \) eines Verbundwerkstoffs mit der Regelung \( k = \frac{k_1 k_2 d_1 + k_2 d_2^2}{d_1 + d_2} \), wobei \( k_1 = 200 \) W/m·K, \( k_2 = 50 \) W/m·K, \( d_1 = 2 \) m und \( d_2 = 1 \) m. Wie groß ist \( k \)?
- Berechne \( k_1 d_1 = 200 \times 2 = 400 \).
- Zähler: \( 400 + 50 = 450 \).
- Nenner: \( 2 + 1 = 3 \).
- Also \( k = \frac{450}{3} = 150 \) W/m·K.
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