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

Answer:

radius = 2294 [m]

Explanation:

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

$a_{c}=\frac{v^{2} }{r}  \\where:\\a_{c} = centripetal acceleration [m/s^{2} ]\\v = velocity = [m/s]$

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

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