Question

During a plane showcase, a pilot makes circular "looping" with a speed equal to the sound speed (340 m/s). However, the pilot can fall when the acceleration is more than 8g, with g being the gravitational constant. Find the radius of the smallest circle that the pilot can take. (HINT: Think about the centripetal acceleration).

Answer 1

1472.98 m

Step-by-step explanation:

Data provided:

Speed of circular looping, v = 340 m/s

Acceleration, a = 8g

here,

g is the acceleration due to the gravity = 9.81 m/s²

Now,

the centripetal acceleration is given as,

`a=(v^2)/(r)`

r is the radius of the loop

on substituting the respective values, we get

`8*9.81=(340^2)/(r)`

or

r = 1472.98 m