An advanced turboprop engine, called an un-ducted fan (UDF), is one of the promi

Question

An advanced turboprop engine, called an un-ducted fan (UDF), is one of the promising new propulsion technologies for transport aircraft. As the speed of the plane increases (accelerates) the aerodynamic drag increases in proportion to the square of the air speed. Eventually the aircraft reaches a new cruise speed where the thrust from the UDF engines is just offset by the drag. The equations used to estimate the velocity and acceleration from the time the throttle is engaged until the plane reaches cruising speed (at approx 120 seconds) are the following: velocity = 0.00001 *time cubed - 0.00488*time squared + 0.75795*time + 181.3566 acceleration = 3-0.000062*velocity squared Write an m-file script called UDF. m that calculates and displays a table of time, velocity and acceleration for times from 0 to 120 in 10 second intervals. Design will be done in lecture or lab.

Explanation / Answer

%matlab code

% time from 0 to 120 in 10 seconds interval
time = linspace(0,120,13);

% printing the table
printf('time velocity acceleration ');
for t=1:length(time)
velocity = 0.00001*power(time(t),3) - 0.00488*power(time(t),2) + 0.75795*time(t) + 181.3566;
acceleration = 3-0.000062*power(velocity,2);
fprintf('%d %f %f ',time(t),velocity,acceleration);
end

%{
output:

time velocity acceleration
0 181.356600 0.960807
10 188.458100 0.797980
20 194.643600 0.651060
30 199.973100 0.520667
40 204.506600 0.406977
50 208.304100 0.309783
60 211.425600 0.228551
70 213.931100 0.162476
80 215.880600 0.110525
90 217.334100 0.071485
100 218.351600 0.044000
110 218.993100 0.026605
120 219.318600 0.017760

%}

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