Each leg is a cylinder with a diameter of 3.9 ft (1.95 ft radius) and 24 ft long. Two-thirds of the leg is immersed (16 ft underwater). The volume of water displaced by one leg is:
Volume of one leg = π * r^2 * h
= π * (1.95)^2 * 16
= 191.73 ft^3
For three legs, the total volume of water displaced is:
Total volume = 3 * 191.73 = 575.19 ft^3
Convert cubic feet to cubic meters:
1 ft^3 = 0.0283168 m^3
Total volume = 575.19 * 0.0283168 = 16.28 m^3
The mass of water displaced is equal to the weight of the water displaced. Using the density of seawater (1025 kg/m³):
Mass = volume * density
= 16.28 * 1025 = 16,697 kg
= 16,697 * 2.20462 = 36,820 lbs
Answer: The mass of water displaced is approximately 16.28 m³> (or 16,697 kg> / 36,820 lbs>).
Using Froude scaling rules, all dimensions are scaled by a factor of 1/6. The dimensions of the scale model are as follows:
| Original Dimension | >Scale Factor | >Scale Model Dimension | >
|---|---|---|
| Diameter of each leg | >1/6 | >3.9 ft * 1/6 = 0.65 ft = 7.8 in | >
| Length of each leg | >1/6 | >24 ft * 1/6 = 4 ft = 48 in | >
| Immersed length of each leg | >1/6 | >16 ft * 1/6 = 2.67 ft = 32 in | >
| Triangle frame side length | >1/6 | >60 ft * 1/6 = 10 ft = 120 in | >
The target weight of the scale model should be scaled by the cube of the scale factor (1/6³ = 1/216). The original mass is 16,697 kg, so the scale model mass is:
Scale model mass = 16,697 kg / 216 = 77.3 kg
= 77.3 * 2.20462 = 170.4 lbs
Answer: The target weight of the scale model is approximately 170.4 lbs..
The cable lengths for the scale model should also be scaled by 1/6. The original cables are 60 ft long, so the scale model cable lengths are:
Scale model cable length = 60 ft * 1/6 = 10 ft = 120 in
Answer: The cables should be 10 ft> long for the scale model.
In Sandy Hill Bay, Anguilla, to simulate open ocean waves and avoid shore breaking:
The exact position will depend on the bay's bathymetry and may require consultation with local charts or experts.
Here are some free Android apps that can record accelerometers into a file for later analysis:
These apps can export data in formats like CSV or text files, which can be easily transferred to a desktop computer for further analysis.
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