What Angle Should a Plane Be Banked to Prevent Lateral Force?

[zheng89120]

Homework Statement

An airplane flies at speed v in a horizontal circle of radius R. At what angle should the plane be banked so that you don't feel like you are getting flung to the side in your seat?

Homework Equations

Newton's equations, a(c) = v^2 / R

The Attempt at a Solution

N_x = mg cos (theta) sin (theta) = m v² / R

and solve for the angle (correct?)

(this maybe a introductory physics problem, i don't care if it's moved)

 

[graphene]

correct