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ight) = \left(racn(n+1)2 - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Berechnung: \( P = \frac{540000}{9.548} \approx 56460.3 \) ft·lb/(s·s).

📌 Umrechnung in PS: \( 1 \text{ HP} = \frac{550 \text{ ft·lb/s}}{1} \).

📌 Also \( P \approx \frac{56460.3}{550} \approx 102.69 \text{ HP} \).

📌 #### 102.69

📌 Ein Ingenieur optimiert einen DC-Motor, und sein Wirkungsgrad \( \eta \) wird durch \( \eta = \frac{P_{out}}{P_{in}} \times 100\% \) modelliert. Wenn der Motor 50 PS aufnimmt und bei 80% Effizienz arbeitet, wie hoch ist die Ausgangsleistung in Watt? (Hinweis: 1 PS = 746 W)

📌 Eingangsleistung \( P_{in} = 50 \times 746 = 37300 \) W.

📌 Effizienz \( \eta = 80\% = 0.8 \).

📌 Ausgangsleistung \( P_{out} = \eta \times P_{in} = 0.8 \times 37300 = 29840 \) W.

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