Question

An aeroplane executes a horizontal loop at a speed of $720kmph$ with its wings banked at $45^{\circ }$, What is the radius of the loop ? Take $g=10m{s}^{-2}$

• A. 4 km
• B. 4.5 km
• C. 7.2 km
• D. 2 km

Answer 1

Answer: (A)

Given, execution of horizontal loop
at $v=720km/h=720\times \frac{5}{18}$
$=40\times 5=200m/s$
$g=10m/s^2,\theta =45^{\circ }$
As we know that
$\tan \theta =\frac{v^2}{rg}$
$r=\frac{v^2}{g\tan \theta }$
$=\frac{(200{)}^2}{10\times \tan 45^{\circ }}=\frac{40000}{10\times 1}$
$=4000m=4km$