Question

LOOPING THE PLANE EGME 205, Fall 2018 5 November 2018 A plane flying experiences four basic forces - thrust and drag along the direction of travel, and lift and in the vertical directions. Drag force is given by: a80 where rho is the density of the working fuid, Cp is the 'coefficient of drag' (a dimensionless number that sums up a whole bunch of fluid dynamies), Ar is the frontal area of the aircraft, and V is the aircraft's velocity Drag is opposed by the thrust of the aircraft's engine, which we'll assume to be relatively constant. Lift force is given by: where Ci is the coefficient of lift and A, is the area of the wing providing the lift. Note that this force is exerted vertically, but is based on the plane's horizontal velocity. Lift is the upwards force that overcomes the weight of the plane, which is given by: where m is the plane's mass and g is the acceleration due to gravity. If z is the direction of travel for the plane and y is the vertical direction that is, gravity acts in the negative y-direction, then: ΣF, Fr _ FO Σ5-FL _ w = m@y n@g Each of the accelerations (in x and y) depend on the velocity of the plane, which makes this a tough mathematical problem: dV To make life simpler and take advantage of the computer, instead of leaving dV/dt as a derivative, approxi- mate it as a small but finite difference: Δν/At, Then, T7 If At is very small, this can be a reasonable approximation of the solution to the differential equation presented above. A plane has mass 1000 kg, CD 0.1, Ca-0.2, a frontal area of 3 m, a wing area of 6m2, and an engine which puts out 20 kN of thrust. Assume the air around the plane has a density of ρ 1.1 kgm-3. A similar analysis may be applied for position Az VAt Problem Determine the top speed (determined by an acceleration of less than 1% of the initial acceleration) and how long it takes to get to that top speed. Determine the speed the plane must be going to take off On a two-y-axis figure, plot the plane's speed versus time and the plane's distance traveled. On a secon two-y-axis figure, plot the plane's acceleration in the horizontal direction versus time and the planes acceleration versus time.

A Matlab introductory class Problem.

The book for my class is "Introduction to MATLAB For Engineers, Third edition by William J. Palm

I have solved the top speed, the time to reach top speed, and the speed the plane takes off at.

this is what I have.

I need help on the graphing portion of the problem

I will give you a Thumbs Up if you solve this part for me. Thank You.

Answer 1