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Fluid Mechanics

Froude Model Law

In the model ...

Question

In the model of a highway bridge constructed to a scale of 1 : 25, the force of water on the pier was measured to be 0.5 kg. The force on the prototype pier will be

A

7501.5 kg

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B

7622.5 kg

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C

7812.5 kg

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D

7916.5 kg

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Solution

The correct option is C 7812.5 kg
In this case Froude model law will be applied
$G i v e n, L_{r} = \frac{1}{25}$
$V e l o c i t y r a t i o, V_{r} = \sqrt{L_{r}}$
$F o r c e r a t i o, F_{r} = V_{r}^{2} L_{r}^{2} = L_{r}^{3}$
$F o r c e o n p r o t o t y p e = 0.5 \times (25)^{3} = 7812.5 k g$

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