B. (5 points) An advanced turboprop engine, called an un-ducted fan (UDF), is on
ID: 3819507 • Letter: B
Question
B. (5 points) 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 18l.3566 acceleration 3-0.000062' velocity squared Write an ma-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 labExplanation / Answer
Solution:
time=zeros(13,1);
for i=2:13
time(i)=(i-1)*10;
end
velocity=zeros(13,1);
acceleration=zeros(13,1);
for i=1:13
velocity(i)=0.00001*(time(i)^3)-0.00488*(time(i)^2)+0.75795*time(i)+181.3566;
acceleration(i)=3-0.000062*(velocity(i)^2);
end
T=table(time,velocity,acceleration)
Output:
T =
time velocity acceleration
____ ________ ____________
0 181.36 0.96081
10 188.46 0.79798
20 194.64 0.65106
30 199.97 0.52067
40 204.51 0.40698
50 208.3 0.30978
60 211.43 0.22855
70 213.93 0.16248
80 215.88 0.11053
90 217.33 0.071485
100 218.35 0.044
110 218.99 0.026605
120 219.32 0.01776
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