A Listing of Projects
I Sound
The Cat's Meow
how does hearing work? If we scale a human down does a cat's meow sound
different? How does the meow sound if we scale the cat up?
Tuning the guitar.
II Chemical Reactions
Scale in chemical reactions
Why does a referigerator keep food from spoiling?
How does the speed of a chemical reaction scale with temperature?
Chemical Chaos
Making a real Fractal Object
electroplating
current, time and total charge
conservation of charge
conservation of chemical species
number of atoms plated
determination of fractal dimension
III Fluid Flow, Chaos and all That
The Dripping Faucet and other Problems with Liquid Flow.
chaos, angular momentum conservation
The Dripping Faucet, R. Shaw Q172.5 c45 s53x 1984
Turbulence:
Big whorls have little whorls,
Which feed on their velocity;
And little whorls have lesser
whorls,
And so on to viscosity.
Lewis Fry Richardson, 1922
The Rope in the River
Reynolds number and the force on an object.
How does that force scale with the speed of the water?
IV The Predator Prey Problem
Population
The Fishery
A predator - prey problem, but the predator is man!
V Work and Energy
Work and Energy
Friction
The Skidding Car and Truck
how stopping scales with mass.
How high can an animal jump? - scaling jump height
VI
Strength of a Beam; Strength of a Bone
How large a plank is needed to cross a stream without getting wet?
The Car crash over the cliff.
A problem in strength of materials
What is the Linear Dimension (linear height) of a Cliff?
Fractals again.
VII
Geometrical Design
Symmetry and invariance
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