You must upload a script to satisfy this problem. A. (5 points) In the early 196

Question

You must upload a script to satisfy this problem. A. (5 points) In the early 1960's the United State launched a series of aluminized Mylar inflatable balloon referred to the Echo-series. These balloons, launched into low earth orbit, would reflect microwave transmissions from one ground station to another. They represent the first attempt to use satellites in space for communication. The concept is lustrated below. After launch 10 lbs. of chemicals were used to inflate Echo 1 to a spherical volume of 14.8K m NOTE: From a ground station the sphere appears as a circle. Shortly afterward another balloon satellite (Echo 2) was launched. Write a MATLAB program that will calculate the pounds of inflator chemical required to inflate Echo-2 if the balloon presents 1.37 times more area to ground stations than the previous Echo 1 balloon satellite. Answer: 16 pounds

Explanation / Answer

Follwoing is the matlab code for calculating weight of inflators for echo 2.

vol_echo1 = 14800;   % Volume of echo 1 in m^3
Dia_echo1 = (vol_echo1 * 6/pi )^(1/3); % Calculating Diameter of echo1
Area_echo1 = pi*(Dia_echo1^2)/4;   % Area projected by echo1
Weight_infl_echo1 = 10 ; % weight of inflaters inn echo1 in lbs
Area_echo2 = 1.37 * Area_echo1 ; % Area projected by echo 2
Dia_echo2 = (4 * Area_echo2 / pi )^0.5; % Diameter of echo 2
vol_echo2 = pi * (Dia_echo2^3) / 6 ; % Volume of echo 2
Weight_infl_echo2 = Weight_infl_echo1 * vol_echo2 / vol_echo1; ; % weight of inflaters calculation using direct variation

disp(Weight_infl_echo2); % Display weight of inflators for echo 2

The answer from the above code = 16.0354 lbs

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