Matlab Program to Solve Temperature Problem Assignment Solution.

clc, clear all, close all

%% Question a

fprintf("***** QUESTION a) *****\n");

Ti = 25; % Initial temperature

F = 10; % Ambient temperature

K = 0.05; % Conduction coefficient

dt = 1; % Time step

% Declare the tie vector

t = 0:dt:100;

% Create a vector T that will store the temperatures for each tim step

T = zeros(length(t),1);

T(1) = Ti;

% Now calculate

for i = 1:length(t)-1

T(i+1) = T(i) + K*dt*(F-T(i));

end

% Now plot

figure

plot(t, T), grid on

xlabel('Time (minute)')

ylabel('Temperature (ºC)')

title('Temperature vs Time');

% Display

fprintf("The temperature at t = %d minutes is T = %.2f ºC\n", t(end), T(end));

%% Question b

fprintf("\n\n***** QUESTION b) *****\n");

% Variable to store the sum

terms_sum = 0;

% Now compute

for k = 1:15

terms_sum = terms_sum + (5*k^2 - 2*k);

end

% Display

fprintf("The sum of the first 15 terms in the series is %d\n", terms_sum);