Question

A pilot of mass $\text{75 kg}$ in a jet aircraft executes a loop with a constant speed of $\text{360 km/hr}$. If the radius of the loop is $\text{200 m}$, the force exerted by seat on the pilot at the top of the loop is $(\text{Take}g=10{\text{m/s}}^2)$

• A. $3750\text{N}$
• B. $4485\text{N}$
• C. $3000\text{N}$
• D. $5843\text{N}$

Answer 1

The correct option is C $3000\text{N}$

At the top most point, FBD of pilot:-

Here $N_{ps}$ is the normal on pilot by the seat in the downward direction
$v=360km/h$ $=360\times \frac{5}{18}$
$\Rightarrow v=100m/s$
Applying Equation of dynamics :-
Net force on the pilot by the seat $N=\frac{m{v}^2}{R}-mg$

$=\frac{75\times (100{)}^2}{200}-75\times 10$

$\Rightarrow$Required net force $=(3750-750)N$
$=3000\text{N}$

Hence option C is the correct answer