```html Seastead Scale Model & Full-Scale Calculations

Seastead Tensegrity Wing/Float Calculations

Scale Model Mold • 1:6 Froude Scaling • Drag & Power Estimates

1. Scale Model Mold Volume

Mold Dimensions: 3.5 ft (42 in) long • 3.75 in leading edge thickness (half 4" PVC) • 16 in plywood sides forming tapered wing shape.

Cross-sectional area: 35.52 in² (semi-circle 5.52 in² + triangular taper 30 in²)
Total volume: 0.863 cubic feet (1,492 cubic inches or 6.46 gallons)

2-Part 2 lb/ft³ Foam Requirement

Foam weight needed: 1.73 lbs (at 2 lb density)
Liquid mix required: ≈ 1.6 cups of Part A and 1.6 cups of Part B
(Assumes typical 1:1 mix by volume and ≈8.5 lb/gallon liquid density. Final foam density = 2 pcf.)

Always test small batch first. Expansion can vary with temperature and mixing technique.

2. Scale Model Buoyancy (3 Legs)

Each leg is 50% submerged in seawater (density ≈ 64 lb/ft³).

Displaced volume per leg: 0.432 ft³
Buoyancy per leg: 27.6 lbs
Total model weight for equilibrium: 82.9 lbs

This is the target weight of the completed scale model (including structure, tensegrity cables, deck, etc.) to float at the desired half-submerged leg level.

Full Scale (1:6 Froude Scaling)

Scale Factor: 6× linear • 216× volume

Full-scale leg length: 21 feet
Full-scale chord: ≈ 8.94 feet
Full-scale max thickness: 1.875 feet (22.5 inches)

Displaced Seawater (Half Submerged)

Item Volume (ft³) Weight (lbs)
One leg (50% submerged) 93.25 5,968
Three legs 279.75 17,904

This is the total displacement tonnage the full-scale platform should be designed around (≈ 8.95 tons).

3. Drag Force at 1, 2, and 3 MPH

Assumptions:
• Legs oriented with wing chord parallel to travel (lowest drag orientation)
• Submerged length per leg: 10.5 ft
• Frontal area (3 legs): 59.06 ft²
• Cd = 0.10 (reasonable for thick streamlined strut/foil shape)
• Seawater density = 1.99 slugs/ft³
Speed (MPH) Speed (ft/s) Drag Force (lbs)
1 1.47 12.6 lbs
2 2.93 50.6 lbs
3 4.40 113.8 lbs

4. Electrical Power Requirements

Assumptions for Propulsion:
• Ideal thrust power = Force × Velocity
• Overall system efficiency ≈ 50% (motor 85% × propeller in water 60% — conservative for small electric pods)
• No appendage drag or wave drag included (this is strut drag only)
Speed (MPH) Ideal Thrust Power Estimated Electrical Power
1 25 W ≈ 50 watts
2 201 W ≈ 400 watts
3 679 W ≈ 1,360 watts (1.36 kW)

At 3 MPH you could run comfortably on a single 2–3 kW electric outboard or pod drive. At 1–2 MPH the power requirement is very low — excellent for solar-powered station-keeping.

Summary of Key Results

All calculations use Froude scaling laws appropriate for wave-making and dynamic similarity. Real-world testing of the scale model in a pool or sheltered water is highly recommended to validate these estimates.

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