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Fluid Mechanics

Model Analysis

A model of a ...

Question

A model of a boat is built to a scale of 1/100. It experiences a resistance of 0.10 N when simulating a speed of 5 m/s of the prototype. Water is the fluid in both the cases. Neglecting frictional forces, corresponding resistance in the prototype is:

A

1000 kN

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B

100 kN

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C

10 kN

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D

1 kN

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Solution

The correct option is B 100 kN
$\frac{F_{m}}{F_{p}} = {(\frac{1}{100})}^{3} F_{p} = 100 k N$

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