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Home » So \(1 \leq y \leq rac53\) - Aurero

So \(1 \leq y \leq rac53\) - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 ### Frage 10

📌 Ein Robotikingenieur entwirft einen Differentialantrieb, bei dem der Winkel \( \theta \) des Rades mit der linearen Geschwindigkeit \( v \) durch \( v = \, v_r (r_L + r_R \cos\theta) \) zusammenhängt, wobei \( v_r = 0.5 \) m/s, \( r_L = 0.2 \) m, \( r_R = 0.1 \) m und \( v = 0.6 \) m/s. Wie groß ist \( \theta \) in Radiant?

📌 Setze ein: \( 0.6 = 0.5 (0.2 + 0.1 \cos\theta) \).

📌 Teile durch 0.5: \( 1.2 = 0.2 + 0.1 \cos\theta \).

📌 Subtrahiere 0.2: \( 1.0 = 0.1 \cos\theta \).

📌 Also \( \cos\theta = 10 \), was **nicht möglich** ist, da \( \cos\theta \leq 1 \).

📌 Überprüfe Berechnungen: \( 0.6 / 0.5 = 1.2 \), \( 1.2 - 0.2 = 1.0 \), \( \cos\theta = 1.0 / 0.1 = 10 \).

📌 Fehler: \( 0.5 (0.2 + 0.1 \cos\theta) = 0.6 \) → \( 0.1 \cos\theta = 1.

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