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  1. Home/
  2. Abhinav Mahto/
  3. MATLAB Program to calculate Drag Force against a Cyclist

MATLAB Program to calculate Drag Force against a Cyclist

AIM:  To create a Matlab program to calculate drag force against a cyclist. OBJECTIVES: To understand the flow of air while cycling and calculate the drag force which is acting opposite to it with respect to velocity and drag coefficient. Plot graph of Velocity vs Drag force & Drag Co-efficient vs Drag…

    • Abhinav Mahto

      updated on 03 Apr 2022

    AIM: 

    To create a Matlab program to calculate drag force against a cyclist.

    OBJECTIVES:

    To understand the flow of air while cycling and calculate the drag force which is acting opposite to it with respect to velocity and drag coefficient. Plot graph of Velocity vs Drag force & Drag Co-efficient vs Drag force.

    THEORY:

    Drag Force is a force acting opposite to the relative motion of any object moving concerning a surrounding fluid. In this case, while cycling the cyclist experiences the drag force in terms of air that is moving in an opposite direction to it. This drag force depends on various factors such as Velocity, Drag Coefficient, Frontal Area & Density of Air.

    FORMULA :

        F = 0.5*rho*A*v^2*c_d

    where,

    • F    -  Drag Force (N)
    • rho -  Density of Air (kg/m^3)
    • A    -  Frontal Area (m^2)
    • v    -  Velocity of the Cycle (m/s)
    • c_d -  Drag Coefficent

     

    -------  PROGRAM TO CALCULATE DRAG FORCE ACTING ON A CYCLE  -------

     

    i) Write a program to plot Velocity vs Drag force.
     
    % A Program to calculate the drag force on a cycle
     
     
    % Step 1 : Inputs
     
    % Density of Air (kg/m^3)
    rho = 1.2;
     
    % Frontal Area (m^2)
    A = 0.1;
     
    % Velocity of the cycle (m/s)
    v = linspace(0, 1, 20);
     
    % Drag Coefficient
    c_d = 0.88;
     
     
    % Step 2 : Formula
     
    drag_force = 0.5*rho*A*v.^2*c_d
     
     
    % Step 3 : A program to plot Velocity vs Drag Force
     
    plot (v, drag_force, 'r:o', LineWidth = 2 )
    xlabel ('Velocity of the Cycle in m/s')
    ylabel ('Drag Force in N')
    title ('Velocity vs Drag Force')
    grid on
     
     
     

    The above graph shows the variation of Drag Force concerning Velocity. Here, drag force is proportional to the velocity for low-speed flow.

     

    ii) Write a program to plot Drag Co-efficient vs Drag force.

    Drag Coefficient (c_d) varies for different shapes

                 

    (The above image Shape & Drag Coefficient is taken as a reference from Wikipedia)

     

    % A Program to calculate the drag force on a cycle with the various drag coefficient
    clear all
    close all
    clc
     
     
    % Step 1 : Inputs
    % Density of Air (kg/m^3)
    rho = 1.2;
     
     
    % Frontal Area (m^2)
    A = 0.1;
     
    % Velocity of the cycle (m/s)
    v = 20;
     
    % Drag Coefficient values as per various shapes
    c1 = 0.47; %Sphere
    c2 = 0.42; %Half Sphere
    c3 = 0.50; %Cone
    c4 = 1.05; %Cube
    c5 = 0.80; %Angled Cude
    c6 = 0.82; %Long Cylinder
    c7 = 1.15; %Short Cylinder
    c8 = 0.04; %Streamlined Body
    c9 = 0.09; %Streamlined Half Body
     
    c_d = [c1, c2, c3, c4, c5, c6, c7, c8, c9];
     
     
    % Step 2 : Formula
    drag_force = 0.5*rho*A*v.^2*c_d
     
     
    % Step 3 : A program to plot Drag Coefficient vs Drag Force
    plot (c_d, drag_force, 'r:o', LineWidth=2)
    xlabel ('Drag Coefficient')
    ylabel ('Drag Force in N')
    title ('Drag Coefficient vs Drag Force')
    grid on
     

     

    The above graph shows the variation of Drag Force concerning Drag Coefficient.

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    Objective:

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