MAE161R-HW#1-Sol

MAE161R-HW#1-Sol - 161R - Solutions HW #1 161R - Solutions...

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Unformatted text preview: 161R - Solutions HW #1 161R - Solutions HW #1 161R - Solutions HW #1 161R - Solutions HW #1 161R - Solutions HW #1 161R - Solutions HW #1 161R - Solutions HW #1 161R - Solutions HW #1 30% increase 161R - Solutions HW #1 161R - Solutions HW #1 Ve 161R - Solutions HW #1 161R - Solutions HW #1 12 161R - Solutions HW #1 % MAE 150R Rocket Propulsion % Dr. Wirz % Prepared by Hann Mao % Problem 4 clear all clc close all % Unit m2ft sg2kg ft32m3 Conversions = 3.2808399; % Meters to Feet = 14.5939029; % Slugs to kilogram = 35.3146667; % m^3 to ft^3 13 % Time Vector dt = 0.01; t = 0:dt:200; % V % a Velocity = -3920*log(1-(3/800)*t)-9.8*t; Acceleration = 14.7./(1-(3/800)*t)-9.8; % Position x = zeros(size(t)); x(1) = 0; for ii = 2:length(t) x(ii) = x(ii-1)+(V(ii-1)+V(ii))*dt/2; end % Dynamic Pressure ftx = x*m2ft; rho = zeros(size(t)); for jj = 1:length(t) rho(jj) = stdatm(ftx(jj))*sg2kg*ft32m3; end Dp = .5*rho.*V.^2; subplot(321) plot(t,V) title('4.b) Velocity (m/s)') xlabel('Time (s)') ylabel('Velocity (m/s)') 161R - Solutions HW #1 subplot(322) plot(t,a) title('4.b) Acceleration (m/s^2)') xlabel('Time (s)') ylabel('Acceleration (m/s^2)') subplot(323) plot(t,x) title('4.c) Position (m)') xlabel('Time (s)') ylabel('Position (m)') subplot(324) plot(t,Dp) title('4.c) Dynamic Pressure') xlabel('Time (s)') ylabel('Dynamic Pressure (N/m^2)') subplot(325) plot(x,Dp) title('4.c) Dynamic Pressure vs. Altitude') xlabel('Altitude (m)') ylabel('Dynamic Pressure (N/m^2)') subplot(326) plot(t,log(V.^2),t,log(rho)) title('4.d) Dynamic Pressure Comparison') xlabel('time (s)') ylabel('ln Value') legend('ln(Velocity^2)','ln(Density)') 14 ...
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This note was uploaded on 10/17/2010 for the course MAE 161r taught by Professor Richard during the Spring '10 term at UCLA.

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