Project

Plotting graph Velocity vs Drag Force for incremental changes in the coefficient of drag value

Aim: Plotting graph for Velocity vs Drag Force for incremental changes in the coefficient of drag value.

Formula Fd=(0.5)*rho*Cd*A*v^2

Fd=Drag Force, rho=Density of force, Cd=Coefficient of Drag, A=Frontal Area, v=Velocity of Cyclist

Program

% Program for calculating Drag Force against a cyclist
% Step 1
clear all
close all
clc

% Step 2
% Variables
% Density of air in kg/m^3
rho=1.2;

% Frontal Area in m^2
A=1.2;

% Velocity of cyclist in m/s which is changing from 1 to 10
v=[1:10];

%Coeffient of Drag in m/s which is changing from 0.1 to 1.8
Cd=[0.1:0.1:1.8];


% In this program, we will plot velocity on X-axis
% & corresponding Drag Force on Y axis
% We will plot many curves with increment value of Drag Coefficient

% Drag force applied on cyclist by air
% Step 3
for i=1:length(Cd)
    % Step 4
    % To get each curve in different color
    color=[rand rand rand];
    
    % Step 5
    %Basic Formula to calculate Drag Force
    Fd=0.5*rho*A*Cd(i)*(v.*v);
    
    % Step 6
    %For holding previous curve in for loop
    hold on
    
    % Step 7
    %plotting the curve
    %I am writing Cd(i) to get different thickness for each curve
    plot(v,Fd,'linewidth',Cd(i),'color',color)
    
    % Step 8
    %Labelling axis
    xlabel('Velocity (m/s^2)')
    ylabel('Drag Force (N)')
    
    %Step 9
    %Title for plot
    title('Drag Force against a cyclist');
    
   
    %Step 11
    grid on
  
end

Stepwise Explanation

Step 1 Explanation: For clearing command window & workspace, closing all plots.

Step 2 Explanation: Defining variables. I have considered various values of velocity & drag Coefficient by defining Arrays.

Step 3 Explanation: I have used for loop because I want to create various plot for incremental changes in the coefficient of drag value.

Step 4 Explanation: Defining color variable to get each graph in different colour. Step 5Explanation: Used formula for Drag Force.

Step 6 Explanation: Used hold on command to hold previous plot.

Step 7 Explanation: Plotting velocity on X axis & Drag Force on Y axis. Used Cd(i) to get increasing thickness of plot with increasing value of Cd.

Step 8 Explanation: Labelling velocity to X axis & Drag Force to Y axis.

Step 9 Explanation: to give title to plot.

Step 10 Explanation: I want to label each curve as per value of Drag Coefficient, hence I have used this new functions ‘sprintf’ & ‘legend’

Step 11 Explanation: To turn on grid.

Error & Solution: I want to show valve of Cd (Coefficient of Drag) for each curve but I am unable to do it. I have tried many methods. Finally, by discussing this issue with Skill Lync expert, I have decided to use legend command. For that I used sprint command & store valve of Cd(i) in cell array by using text{i}. Below you can see previous plot & revised plot.

Revised & Previous Plot

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