The wave resistance of a model of a ship at 1/19 scale is 2 lbf at a model speed

Question

The wave resistance of a model of a ship at 1/19 scale is 2 lbf at a model speed of 7 ft/s. What are the corresponding velocity and wave resistance of the prototype?
Fp = lbf The wave resistance of a model of a ship at 1/19 scale is 2 lbf at a model speed of 7 ft/s. What are the corresponding velocity and wave resistance of the prototype?
Fp = lbf The wave resistance of a model of a ship at 1/19 scale is 2 lbf at a model speed of 7 ft/s. What are the corresponding velocity and wave resistance of the prototype?
Fp = lbf

Explanation / Answer

GIVEN:- Model scale = 1/19, Model wave resistance Mr = 2 lbf, Model speed Ms = 7 ft/s

TOFIND:- Prototype wave resistance Pr = ? and Prototype Ps = ?

SOLUTION:-

Since model scale = 1/19, Then Pr = Mr x 19 = 2 x 19 = 38 lbf

So Prototype wave resistance Pr = 38 lbf (ANSWER)

Ps = Ms x 19 = 7 x 19 = 133 ft/s

Prototype velocity = 133 ft/s (ANSWER)

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