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
Show Answer
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 $