Question

A ship's model of scale 1 : 100 had a wave resistance of 1 kg at its design speed. The corresponding wave resistance in prototype will be

Answer 1

A ship's model of scale 1:100 had a wave resistance of 1 kg at its design speed. The corresponding wave resistance in prototype is 10 kg.

1) Wave resistance follow froude's law of design.

2) Froude's number is given by v^2/ sqrt( l * g )

3) Given data: Lm / Lp = 1 / 100. The wave resistance of model is 1 kg.

4) The wave resistance of the prototype is sqrt (100) = 10Kg.

Answer 2

The corresponding wave resistance in prototype is 10 kg.

Explanation:

We are given that:

• Ship's model of scale = 1 : 100
• Wave resistance = 1 Kg
• To Find: The corresponding speed = ?

Solution:

We know that the wave resistance follows Froude's law of design.

According to Froude's law:

v^2/ √( l x g )

The wave resistance of the prototype is √(100) = 10 Kg.

Thus the value of corresponding wave resistance in prototype is 10 Kg.