Practice Calculating Radius of Gyration - 2.3.7 | 2. Equilibrium Conditions | Fluid Mechanics - Vol 2
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Calculating Radius of Gyration

2.3.7 - Calculating Radius of Gyration

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for radius of gyration based on moment of inertia?

💡 Hint: Think about how mass is distributed.

Question 2 Easy

Define metacentric height in the context of ship stability.

💡 Hint: Consider its relationship to where the ship would return after tilting.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the radius of gyration measure?

Mass distribution
Weight
Volume
Density

💡 Hint: Think about why this would be important for stability.

Question 2

True or False: A larger radius of gyration means a ship is more stable.

True
False

💡 Hint: Think of the ship's ability to respond to waves.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A ship has an inertia of 2000 kg·m² and a mass of 500 kg. Calculate its radius of gyration, then discuss how this would influence its rolling period in waves.

💡 Hint: Think about how increasing mass affects the ship's behavior.

Challenge 2 Hard

If a ship's metacentric height is 0.8m and radius of gyration is 2m, how does this reflect its stability under maximum loading conditions?

💡 Hint: Consider how weight distribution might affect height.

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