Question

If the loop has a radius of 29.2 m, what is the minimum speed the pilot can fly in order to safely remain in the airplane? round to the nearest 0.1 m/s.

a) 16.8 m/s
b) 16.9 m/s
c) 17.0 m/s
d) 17.1 m/s

Answer 1

To safely remain in the airplane while flying in a loop, the pilot must experience a minimum centripetal acceleration. The minimum speed the pilot can fly in order to safely remain in the airplane is B. 16.9 m/s.

Step-by-step explanation:

To safely remain in the airplane while flying in a loop, the pilot must experience a minimum centripetal acceleration. This is the acceleration that points towards the center of the circular path and keeps the object moving in a curved trajectory.

The minimum centripetal acceleration required for the pilot to safely remain in the airplane can be calculated using the formula:

Centripetal acceleration = (Speed^2) / Radius

Given that the radius of the loop is 29.2 m, the pilot's minimum speed can be calculated as follows:

Speed = sqrt((Centripetal acceleration) * (Radius))

By plugging in the values, we get:

Speed = sqrt((9.8 m/s^2) * (29.2 m))

Speed = sqrt(285.76 m^2/s^2)

Speed = 16.9 m/s (rounded to the nearest 0.1 m/s)

Therefore, the minimum speed the pilot can fly in order to safely remain in the airplane is 16.9 m/s.