Scaling up a test cannon to a life sized cannon

AI Thread Summary
To scale up a test cannon for launching an 80 kg clown, the required bore is calculated using the ratio of the clown's diameter to the ball's diameter, resulting in a bore of approximately 62.661 cm. The barrel length for the life-sized cannon is determined to be about 185.653 cm, while the compression chamber measures around 56.122 cm. For fuel estimation, it is suggested that the fuel energy must scale similarly to the kinetic energy at the muzzle exit. The original model cannon used 2.6 mL of methanol for a distance of 1.256 m, and scaling this up for a 30 m launch requires further calculations based on energy principles. Assistance is needed to finalize the fuel calculations for the project due tomorrow.
FredGirl13
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Homework Statement



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°


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!
 
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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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