Homework Solution: You are designing a gravity-driven water tank possible within monetary cost limitations. As shown in the figure and pipe system to deliver wate…

    You are designing a gravity-driven water tank possible within monetary cost limitations. As shown in the figure and pipe system to deliver water at the highest velocity below, the tank will be built on hill at some height (2). The velocity of water exiting the pipe must be at least 10 m/s. You have $600 to spend on the pipe, and the pipe costs $25 per meter for t meter. Write a MATLAB m-file to achieve the following goals: he first I0 meters(and $15 per meter for cach additional 1. Calculate the velocity of water exiting the pipe forleleven equally-spaced values of z ranging rom 0 to 30 m. Create a plot of water exit velocity for z values manging frotn o k0m abel he as o 30 m. Label the axes, 3. Determine the hcight2 for which the exit velocity is too slow and indicate this height on the 4. For each of the eleven equally spaced values of z, compute the cost of the pipe, and create a 5. Determine the height z for which the pipe is too expensive and indicate this height on the plot including the correct units plot with a vertical line made of 20 xs. plot of pipe cost vs, z. Label the axes, including correct units. with a vertical line made of 20 oS Turn in a printout of your completed m-file and the two plots. z=0.9x Pipe Length . Exit Velocity = V2gz

    media%2Fab2%2Fab27fba4-82b2-47b7-bd64-b3

    media%2F61a%2F61a87e6d-6e70-4463-9590-e3

    The problem must be done using matlab please help me with the code

    thank you

    You are designing a gravity-driven water tank possible within monetary cost limitations. As shown in the figure and pipe system to deliver water at the highest velocity below, the tank will be built on hill at some height (2). The velocity of water exiting the pipe must be at least 10 m/s. You have $600 to spend on the pipe, and the pipe costs $25 per meter for t meter. Write a MATLAB m-file to achieve the following goals: he first I0 meters(and $15 per meter for cach additional 1. Calculate the velocity of water exiting the pipe forleleven equally-spaced values of z ranging rom 0 to 30 m. Create a plot of water exit velocity for z values manging frotn o k0m abel he as o 30 m. Label the axes, 3. Determine the hcight2 for which the exit velocity is too slow and indicate this height on the 4. For each of the eleven equally spaced values of z, compute the cost of the pipe, and create a 5. Determine the height z for which the pipe is too expensive and indicate this height on the plot including the correct units plot with a vertical line made of 20 x's. plot of pipe cost vs, z. Label the axes, including correct units. with a vertical line made of 20 o'S Turn in a printout of your completed m-file and the two plots. z=0.9x Pipe Length . Exit Velocity = V2gz

    Expert Answer

     
    minVelocity=10; maxCost=600;

    You are cunning a gravity-driven impart tank likely amid monetary consume limitations. As shown in the likeness and pipe plan to set free impart at the main celerity beneath, the tank allure be built on hill at some summit (2). The celerity of impart departureing the pipe must be at meanest 10 m/s. You keep $600 to exhaust on the pipe, and the pipe consumes $25 per meter coercion t meter. Write a MATLAB m-file to finish the aftercited goals: he primeval I0 meters(and $15 per meter coercion cach attached 1. Calculate the celerity of impart departureing the pipe coercionleleven similar-spaced values of z ranging rom 0 to 30 m. Engender a devise of impart departure celerity coercion z values manging frotn o k0m abel he as o 30 m. Label the axes, 3. Determine the hcight2 coercion which the departure celerity is as-well late and manifest this summit on the 4. Coercion each of the eleven similar spaced values of z, abuse the consume of the pipe, and engender a 5. Determine the summit z coercion which the pipe is as-well dear and manifest this summit on the devise including the rectify units devise with a upright row made of 20 xs. devise of pipe consume vs, z. Label the axes, including rectify units. with a upright row made of 20 oS Turn in a printout of your completed m-file and the brace devises. z=0.9x Pipe Length . Departure Celerity = V2gz

    media%2Fab2%2Fab27fba4-82b2-47b7-bd64-b3

    media%2F61a%2F61a87e6d-6e70-4463-9590-e3

    The summit must be done using matlab
    please acceleration me with the code

    thank you

    You are cunning a gravity-driven impart tank likely amid monetary consume limitations. As shown in the likeness and pipe plan to set free impart at the main celerity beneath, the tank allure be built on hill at some summit (2). The celerity of impart departureing the pipe must be at meanest 10 m/s. You keep $600 to exhaust on the pipe, and the pipe consumes $25 per meter coercion t meter. Write a MATLAB m-file to finish the aftercited goals: he primeval I0 meters(and $15 per meter coercion cach attached 1. Calculate the celerity of impart departureing the pipe coercionleleven similar-spaced values of z ranging rom 0 to 30 m. Engender a devise of impart departure celerity coercion z values manging frotn o k0m abel he as o 30 m. Label the axes, 3. Determine the hcight2 coercion which the departure celerity is as-well late and manifest this summit on the 4. Coercion each of the eleven similar spaced values of z, abuse the consume of the pipe, and engender a 5. Determine the summit z coercion which the pipe is as-well dear and manifest this summit on the devise including the rectify units devise with a upright row made of 20 x’s. devise of pipe consume vs, z. Label the axes, including rectify units. with a upright row made of 20 o’S Turn in a printout of your completed m-file and the brace devises. z=0.9x Pipe Length . Departure Celerity = V2gz

    Expert Retort

     

    minVelocity=10;
    maxCost=600;
    price1=25;
    price2=15;
    g=9.81;
    z=linspace(0,30,11);
    exitVelocity=sqrt(2*g*z);

    plot(z,exitVelocity);
    xlabel(‘summit of impart tank(m)’);
    ylabel(‘departure celerity(m/s)’);
    hold on

    minVelZ=(minVelocity^2)/(2*g);
    zLine=minVelZ*ones(1,20);
    vLine=linspace(min(exitVelocity),max(exitVelocity),20);
    plot(zLine,vLine,’x’);
    pipeCost=zeros(1,11);

    coercion i=1:11
    x=z(i)/.9;
    pipeLength=sqrt(x^2+(z(i))^2);
    if pipeLength<=10
    pipeCost(i)=price1*pipeLength;
    else
    pipeCost(i)=price1*10+(pipeLength-10)*price2;
    end
    end

    figure(2)
    plot(z,pipeCost)
    xlabel(‘summit of impart tank(m)’);
    ylabel(‘consume of pipe($)’)
    hold on;

    maxLength=(maxCost-price1*10)/price2+10;
    maxHeight=.9*maxLength/(sqrt(1+.9^2));
    zLine2=maxHeight*ones(1,20);
    cLine=linspace(min(pipeCost),max(pipeCost),20);
    plot(zLine2,cLine,’o’)