**Problem 4:** A plane moving with velocity \( v \) turns by banking as shown. Determine the banking angle as a function of \( v \), \( g \), and \( R \), the latter being the radius of curvature of the turn.**Diagram Explanation:**- The diagram shows the forces acting on a plane during a banked turn.- \(\vec{L}\), the lift force, is directed perpendicular to the wings and tilted at an angle \(\theta\) from the vertical.- \(\vec{W}\), the weight force, acts vertically downward.- The angle \(\theta\) is the banking angle.**Labels:**- \( \vec{L} \): lift force- \( \vec{W} \): weight forceTo calculate the banking angle, the relationship between the lift force, gravitational force, and centripetal force must be considered, typically involving trigonometric functions and Newton's laws of motion.

Since the plane is under the influence of several forces ; So, resolving the force vector of plane:…

Answered: 4. A plane moving with velocity v turns…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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4. A plane moving with velocity v turns by banking as shown. Determine the banking angle as a function of v, g, and R, the latter being the radius of curvature of the turn. L: lift force w: weight 13