Laws Of Motion Question 346

Question: An aircraft executes a horizontal loop with a speed of 150 m/s with its wings banked at an angle of $ 12{}^\circ . $ The radius of the loop is : $ ( g=10m/s^{2} ) $

Options:

A) 10.6 km

B) 9.6 km

C) 7.4 km

D) 5.8 km

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Answer:

Correct Answer: A

Solution:

[a] $ tan\theta =\frac{v^{2}}{rg} $

$ tan12^{o}={{( 150 )}^{2}}/r\times 10 $

$ \Rightarrow r=\frac{2250}{0.2125}=10.6km $



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