Question #22523

calculate the anglar displacement of a circling aircraft which travels 3 Km along the arc of a circle which 10 Km

Expert's answer

Task:

Calculate the angular displacement of a circling aircraft which travels 3 Km along the arc of a circle with R=10 Km

Solution:

l=αRl = \alpha Rα=lR=3km10km=0.3radians=0.3180π=17.189%\alpha = \frac {l}{R} = \frac {3 \, \text{km}}{10 \, \text{km}} = 0.3 \, \text{radians} = 0.3 \cdot \frac{180^*}{\pi} = 17.189\%

Answer:

α=17.189%\alpha = 17.189\%

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