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TrishaMenon_Exam_2.m
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TrishaMenon_Exam_2.m
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%% Math 111 EXAM #2: Chapters 1-4
% McFly's Fly-Bye
%
%
% Your Name: Trisha Menon
% Your Email: [email protected]
%
%
% --- Program Description ---
%
% The objective of this program is to track the trajectory of a ball as it
% is kicked across several fields by a large-toed tripodial organism. Or,
% at least I wish it was as this thing that they have hired me to do is
% something close to dull as dirt. But, hey, it pays the bills.
%
% Program Variables and Purpose
%
% Variable Name Variable Purpose
% ------------- ---------------------------------------------------
% 1) start_hour User input variable used to determine the starting time
% 2) end_hour User input variable used to determine the ending time
% 3) num_checks User input variable used to determine the number of
% checkpoints over the time of travel
% 4) time_hours Time array in hours
% 5) time_sec Time array in seconds
% 6)
% :
% --- START OF PROGRAM ---
%
clear, clc % Prepare display for output
format compact
format bank
% Define Time Interval Array Parameters via User Input...
% ...starting time array element value (in hours)...
start_hour = input('Enter minimum number of McFly travel hours or "quit": '...
, 's');
quitInput = strcmp(start_hour, 'quit');
if quitInput == 1
disp('Error')
exit
end
% ...ending time array element value (in hours)...
end_hour = input('Enter maximum number of McFly travel hours: ', 's');
end_hour = eval(end_hour);
% ...number of "speed checkpoint hours" within array...
num_checks = input('Enter number of McFly travel checkpoints: ');
%
% Define Time Interval Arrays...
% ...array of time increments, in hours...
time_hours = linspace(eval(start_hour), end_hour, num_checks);
% ...convert hour array into seconds array...
time_sec = time_hours./60;
%
% Define Parameters Used for Calculations...
% ...array of mileage "checkpoints", based on fly's 25mph flying speed...
radii_miles = 25.*time_hours; % Calculates the distance traveled at
% each checkpoint based on the constant
% speed of 25 mph
% ...scalar of rotational speed of Cosmic Turntable, in RPMs...
rev_min = 45; % The disc rotates at a constant rate in RPM
% ...convert rotational speed to Revolutions per Second...
rev_sec = rev_min/60; % The disc rotates at a constant rate in RPS
% ...convert rotational speed (revs/sec to angular speed (radians/sec)...
rad_sec = rev_sec*(2*pi); % The disc rotates at a constant rate in rad/s
% ...define speed of light in miles per second...
light_speed = 186282; % According to Google in m/s
%
% Initialize All Variables Required for Iterative Calculations...
col=1; % keeps track of element row location
fly_speed = zeros(1, col);
fly_speed(1) = 0; % builds 1xn fly-speed array (to plot fly speed)
calc_speed = 0; % initial while-loop counter (for below)
plot_hour(1) = 0; % builds 1xn hour array (to plot x-axis)
plot_light = zeros(1, col+1); % builds 1xn lightspeed array (to plot SoL)
%
% Launch While-Loop to Calculate Fly Speed at Checkpoint Intervals
% (Note: The loop ends when fly speed exceeds speed of light)
%
% I have decided that I will figure out when McFly will attain or exceed
% lightspeed using a WHILE loop. Problem is, I have not quite figured out
% how such a loop works, so I will save the work for later....
while calc_speed < light_speed % Start building plot info
plot_hour = linspace(0,end_hour,col); % each time the counter increases
% the matrix increases to allow
% more values
plot_light(col) = 186282; % - Speed of Light graph, remains constant
fly_speed(col) = calc_speed + rad_sec.*radii_miles(col);
% ^^ McFly linear speed graph
calc_speed = fly_speed(col); % Reset Loop Parameter
col = col+1; % Track element col#
end
%
% Define Output Array Strings...
% ...Hours of Flight Time Required for Success...
Result1 = ['Whoa! McFly just went bye after flying: ',...
num2str(plot_hour(col-1)), ' hours'];
% ...Radius of ICD at Time of Success...
Result2 = ['...when McFly''s distance from the center of the ICD was: ',...
num2str(radii_miles(col-1)), ' miles'];
% ...Linear Velocity at Time of Success...
Result3 = ['...and McFly''s linear velocity was: ',...
num2str(fly_speed(col-1)), ' miles/sec'];
% ...Graphical Point of Intersection (for gtext command)...
Result4 = ['(', num2str(plot_hour(col-1)), ', ',...
num2str(fly_speed(col-1)),')'];
%
% Display Results...
%
fprintf('\n \n')
disp(Result1), %s) % Display hour of success
disp(Result2), %s) % Display ICD radius at time of success
disp(Result3), %s) % Display linear speed at time of success
% fprintf('%s \n', Result1)
%
% clc
% Plot Results...
plot(plot_hour,fly_speed, plot_hour, plot_light, plot_hour(col-1), ...
fly_speed(col-1), 'o')
axis([0 plot_hour(col-1)*1.1 0 220000])
hold on
title('McFly''s Fly-Bye')
xlabel('Time(hrs)')
ylabel('Velocity(mi/sec)')
legend('Fly Speed', 'Speed of Light', 'location','southeast')
grid on
text(plot_hour(col-1), light_speed, Result4, 'VerticalAlignment', 'bottom',...
'HorizontalAlignment', 'right')
grid off
hold off
% --- END OF PROGRAM ---