lecture7RecursionReiterationE7part2

lecture7RecursionReiterationE7part2 - E7 Spring 2010...

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Unformatted text preview: E7 Spring 2010: Lecture 7 Raja Sengupta College of Engineering University of California Berkeley Can you plot the motion of a rocket? Rocket speed vs. time (during burn) speed t ( ) = exhaustSpeed *log fullMass mass ( t ) Λ Ν Μ Ξ Π Ο With gravity : speed t ( ) = exhaustSpeed *log fullMass mass ( t ) Λ Ν Μ Ξ Π Ο − gt mass ( t ) = fullMass − burnRate * t height ( t ) = exhaustSpeed *log fullMass mass ( τ ) Λ Ν Μ Ξ Π Ο t ∫ d τ − g τ d τ t ∫ rocketTraj(20) Rocket speed vs. time (after burn) function [time,speed,height] = rocketTraj(fuelLoad) %fuelLoad in slugs %This program assumes the rocket starts from rest and goes %up vertically and falls back to earth the same way. %rocket parameters rocketMass = 100;%slug burnRate = 1;%slug/sec exhaustSpeed = 8000;%ft/sec: this is the effective fuel exit speed g = 32.2;%ft/sec/sec fullMass = rocketMass + fuelLoad; burnTime = fuelLoad/burnRate; timeGranularity = 0.01; maxCounter = (burnTime/timeGranularity)+1; %This loop computes the rocket speed and height upto the burn time for counter = 1:1:maxCounter, time(counter) = (counter-1)*timeGranularity; speed(counter) = exhaustSpeed*log(fullMass/(fullMass- burnRate*time(counter))) - g*time(counter); h1(counter) = exhaustSpeed*(fullMass - burnRate*time(counter))*log(fullMass - burnRate*time(counter))/burnRate; h2(counter) = exhaustSpeed*(log(fullMass)+1)*time(counter); h3(counter) = g*time(counter)^2; h4(counter) = fullMass*exhaustSpeed*log(fullMass)/burnRate; height(counter)= h1(counter) + h2(counter) - h3(counter) - h4(counter); end %This loop computes the rocket speed and height after the burn time while (ge(height(counter), 0)), counter = counter + 1; time(counter) = (counter-1)*timeGranularity; speed(counter) = speed(maxCounter) - g*(time(counter)-burnTime); height(counter) = height(maxCounter) + speed(maxCounter)*(time(counter) - burnTime) - g*((time(counter) - burnTime)^2)/2; end end Another cool link • http://www.youtube.com/watch?...
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This note was uploaded on 02/19/2010 for the course ENGINEERIN 72826 taught by Professor Sengupta/leachman/johnson during the Spring '10 term at Berkeley.

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lecture7RecursionReiterationE7part2 - E7 Spring 2010...

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