Question

An aeroplane executes a horizontal loop at a speed of 720 km/h with its wings banked at 45°. what is the radius of the loop? take

Answer 1

Answer:

The radius of the loop is 15.24 km.                

Step-by-step explanation:

Given : An Aeroplane executes a horizontal loop at a speed of 720 km/h with its wings banked at 45°.

To find : What is the radius of the loop?

Solution :

The speed of the Aeroplane is v=720 km/hr.

Convert into m/s,

$v=720\times \frac{1000}{3600}=200\ m/s$

Angle of banking is $\theta=15^\circ$

Let the radius of the loop be 'r'.

Now, the banked curve is given by

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

$r=\frac{v^2}{g\tan\theta}$

Substitute the values,

$r=\frac{(200)^2}{9.8\tan15^\circ}$

$r=\frac{40000}{9.8\times 0.2679}$

$r=15.24\times 10^3\ m$

$r=15.24\ km$

Therefore, the radius of the loop is 15.24 km.

Answer 2

Answer:4 km

Step-by-step explanation: