Question

What is the minimum radius at which an airplane flying at 300 m/s can make a U-turn if its

centripetal acceleration is NOT to exceed 4 gs?

Answer 1

radius = 2294 [m]

Step-by-step explanation:

We know that centrifugal acceleration is defined by the following equation:

`a_(c)=(v^(2) )/(r)  \\where:\\a_(c) = centripetal acceleration [m/s^(2) ]\\v = velocity = [m/s]`

One input data is that the acceleration cannot be greater than 4g, therefore:

`4*g = a_(c) \\where:\\g = gravity = 9.81[m/s^2]\\replacing = \\4*9.81= (300^(2) )/(r) \\r = 90000/(4*9.81)\\r = 2293.5[m]`