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The airplane show is flying at a constant speed of v 50m/a in a circular path of

ID: 2080852 • Letter: T

Question

The airplane show is flying at a constant speed of v 50m/a in a circular path of radius p 2000m and is being tracked by a radar station need a below the bottom of the plane path (point M), the airplane at 0, and the angle a function of time is given (in by t Write a MATLAB program that calculates 0 and r as functions of time. the program should first determine the time at which Then construct a vector t having 15 elements over the interval sots too. and calculate 0 and r at each the program should print the values h, and followed where time. 0 in degrees, and the third is the corresponding by a 15 table the is t, the second is the angle value of r.

Explanation / Answer

MATLAB code:

v=50;

rho=2000;

h=500;

t_90=pi*rho/(2*v);

t=linspace(0,t_90,15);

alpha=v*t/rho;

r=sqrt(rho^2 + (h+rho)^2 - 2*rho*(rho+h)*cos(alpha));

theta=90-asind(rho*sin(alpha)./r);

tbl=[t;theta;r];

fprintf(' Time Tracking Distance ')

fprintf(' (s) Angle (deg) (m) ')

fprintf(' %4.1f %4.1f %6.1f ',tbl)

MATLAB output:

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