Kinematics Question 717

Question: An aircraft executes a horizontal loop with a speed of 150 m/s with it’s, wings banked at an angle of $ 12^{o} $ . The radius of the loop it’s $ (g=10m/s^{2}) $ [Pb. PET 2001]

Options:

A) 10.6 km

B)9.6 km

C) 7.4 km

D)5.8 km

Show Answer

Answer:

Correct Answer: A

Solution:

The angle of banking, $ \tan \theta =\frac{v^{2}}{rg} $

therefore $ \tan 12{}^\circ =\frac{{{(150)}^{2}}}{r\times 10} $

therefore $ r=10.6\times 10^{3}m=10.6km $



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