7/23/2019 CEE 170 UCI Homework 3
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Cristen Alvarez CEE 170, Section 4 10/21/15
Matlab HW #3
functionf = ode_right(t,y,g,Re_data,cd_data,nu,d,rho_a,A,m)
Re=abs(y(1))*d/nu;cd=interp1(Re_data,cd_data,Re);
f(1,:)=g!"#*cd*A*rho_a/m*y(1)*abs(y(1));f($,:)= y(1);f=f(:);
c%cc%ear
&'arameter a%uesg = "1; &gra+itationa% constant m/s$
d = !"!1; &diamater of sphere mrho_- = 1!!!; &density of
-ater .g/mrho_a = 1"$; &density of air .g/m0 = $"2;
&specific gra+ity of spherecd = !"; &drag coefficientm =
0*rho_-*3/*pi*(d/$); &mass of sphere .gA = pi*d$/3;
&crosssectiona% area of sphere m$nu = 1"#e#; &+iscosity of
air
&4ode% 'arametersdt = !"!1;tspan = !:dt:#;! = !;5! = 1!!;6!
= 7!; 5!8;tstop = 9;
&initia% +e%ocity initia% height
=%oad(
7/23/2019 CEE 170 UCI Homework 3
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Cristen Alvarez CEE 170, Section 4 10/21/15
&Dermina% e%ocity_termina% = sGrt($*m*g/(cd*rho_a*A))
&Approimate time -hen reached Dermina% e%ocity. = !;
tt= !;fori = 1:%ength(6out) . = (6out(i) F _termina%)/_termina%;
if. H !"!1 tt = Dout(i); brea. endendDime_termina% = tt
&'%ot e%ocity +s Dime
raphsubp%ot($,1,1)p%ot(Dout,6out(:,1),
