Question
vx = v*cos(theta); vy = v*sin(theta); Matlab Question. I need help with assigning the air resistance. I have provided the code i'm using below. clc
vx = v*cos(theta);
vy = v*sin(theta);
Matlab Question. I need help with assigning the air resistance. I have provided the code i'm using below.
clc
%constants
v0 = 50;
g = 9.8;
vx = v*cos(theta);
vy = v*sin(theta);
ax= 0;
ay = -g;
theta = 35*pi/180; %rad
%time vector
t = linspace(0,11);
%displacement equations
x = v0*t*cos(theta);
y = v0*t*sin(theta) - 0.5*g*t.^2;
ifr = 37.2*2; %input(?Input an increasing factor for the radius of ball =?)
c = 0.5; %(?Choose C=0.5(air resistance) or C=0(no air resistance)?);
mass = 0.145 * ifr^3;
ifr = 0.036 * ifr;
rho = 1.2;
while y(i) > = 0
x(i+1) = x(i) +vx *dt +0.5 * ax * dt^2;
y(i+1) = y(i) + vy * dt + 0.5* ay * dt^2;
vx = vx + ax * dt;
vy = vy +ay *dt;
i = i + 1;
end
%plot
plot (x,y)
xlim([0 250])
ylim([0 45])
title('Projectile Motion Paths');
xlable('Horizontal Distance (m)');
ylable('Verticak Distance (m)');
Perform the calculation for a thrown cricket ball with/without air resistance. A spherical ball with a radius of R 3.6 cm and a mass m an initial velocity of 50 m/s at an angle of ? = 35 degree above the horizontal. The drag coefficient C can be taken to be 0.5 and the density of air p 1.2 kg/m3 (use g-9.8 m/s2) Develop a MATLAB script to: 1.Plot the trajectory of the object and estimate the range of the object: A. With the effect of air resistance (let C-0.5) B. Without the effect of air resistance (let C-0.0) 2. Plot the trajectory of the object and estimate the range of the object: A. The ball has twice the diameter and therefore 8 times the weight and 4 times the 0.145 kg is thrown with cross section. Keep all the other parameters the same. B. Compare to the previous result when diameter is not doubled. Note: please submit your MATLAB code and plots for question 1 and 2 as a combined UT word/pdf document. There is no need to submit them separately. Perform the calculation for a thrown cricket ball with/without air resistance. A spherical ball with a radius of R 3.6 cm and a mass m an initial velocity of 50 m/s at an angle of ? = 35 degree above the horizontal. The drag coefficient C can be taken to be 0.5 and the density of air p 1.2 kg/m3 (use g-9.8 m/s2) Develop a MATLAB script to: 1.Plot the trajectory of the object and estimate the range of the object: A. With the effect of air resistance (let C-0.5) B. Without the effect of air resistance (let C-0.0) 2. Plot the trajectory of the object and estimate the range of the object: A. The ball has twice the diameter and therefore 8 times the weight and 4 times the 0.145 kg is thrown with cross section. Keep all the other parameters the same. B. Compare to the previous result when diameter is not doubled. Note: please submit your MATLAB code and plots for question 1 and 2 as a combined UT word/pdf document. There is no need to submit them separatelyStep by Step Solution
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