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 $