Practice Problem 2: Model Boat Resistance (1.15) - Dimensional Analysis and Hydraulic Similitude (Contd.,)
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Problem 2: Model Boat Resistance

Practice - Problem 2: Model Boat Resistance

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Practice Questions

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Question 1 Easy

Define the term 'Froude Number'.

💡 Hint: Think about what forces are being compared.

Question 2 Easy

What is the scaling ratio if a model is 1/200 times the prototype?

💡 Hint: Focus on how we express the size of models compared to full size.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Froude Number compare?

Density and Mass
Inertial forces and Gravitational forces
Speed and Distance

💡 Hint: Think about the effects of gravity on fluid flow.

Question 2

True or False: The model resistance can be greater than the prototype resistance.

True
False

💡 Hint: Reflect on how scaling affects forces.

2 more questions available

Challenge Problems

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Challenge 1 Hard

Consider a scale model bridge over a river. If the bridge model scales down to 1/200 while keeping the same fluid characteristics, derive the force resisting the bridge based on fluid interaction.

💡 Hint: What scaling principles would you apply, and how do they relate to the bridge's real characteristics?

Challenge 2 Hard

If a water model at a 1/1000 scale shows resistance of 0.05 N under specific conditions of flow, what would be the expected force under prototype conditions?

💡 Hint: How does the dimension scale affect force predictions?

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