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Scaling up a test cannon to a life sized cannon

  1. Jan 21, 2013 #1
    1. The problem statement, all variables and given/known data

    Your task is to determine:

    a.the length and bore of cannon that is required to accommodate an 80 kg Clown with an over-arm measurement of 48 inches

    b.the amount of fuel that is required to launch the Clown at the same angle as you did with your model cannon .

    c.the amount of fuel that is required to launch the Clown at the same angle as you did with your model cannon onto a foam mattress 30 m away.

    Test Cannon
    Diameter of Ball: 7cm
    Length of Cannon Barrel: 21.5cm
    Length of Compression Chamber: 6.5cm
    Amount of Fuel Used: 2.6mL of Methanol
    Distance Travelled: 1.256m

    Life Size Variables
    Diameter of Life Sized Clown: 60.96cm
    Distance Clown Must Travel: 30m
    Mass of Clown: 80kg
    Angle: 25°


    3. The attempt at a solution

    a. (Diameter of Clown/Diameter of Ball)xBore of Model Cannon=Bore of Real Cannon
    (62.661cm)
    (Bore of Life Sized Cannon/Bore of Model Cannon)xLength of Model Cannon= Barrel length of real cannon (185.653cm)

    (length of model compression chamber/length of model barrel)xLength of life sized Cannon Barrel= Compression chamber of life sized cannon (56.122cm)

    And I have no idea where to start with the estimating fuel part :(


    This is a group project but its due tomorrow and I've been left with trying to finish it all by myself so I really really need help!
     
  2. jcsd
  3. Jan 21, 2013 #2

    haruspex

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    I'm not sure whether artillery scales as simply as that, but I don't know anything to the contrary.
    For the fuel, you could assume the fuel energy has to be scaled up the same as the kinetic energy at muzzle exit.
     
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