Your vessel has a displacement of 10,000...

Question 1 / 2066636eec28f7522a1c51d0e7

Question 1 of 2066636eec28f7522a1c51d0e7

Your vessel has a displacement of 10,000 tons. It is 350 feet long and has a beam of 55 feet. You have timed its rolling period to be 15.0 seconds. What is your vessel's approximate GM?

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Question 1 of 20

66636eec28f7522a1c51d0e7

Your vessel has a displacement of 10,000 tons. It is 350 feet long and has a beam of 55 feet. You have timed its rolling period to be 15.0 seconds. What is your vessel's approximate GM?

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🔍 Key Concepts

• Formula for rolling period and metacentric height GM for a ship • Unit consistency: converting seconds, feet, and using the correct constant • How long rolling period relates to small GM (stiff vs tender ship)

💭 Think About

• Write down the standard empirical formula that relates rolling period (T), beam (B), and GM. Which variables do you already know from the question? • Before plugging in numbers, think: does a longer rolling period correspond to a larger or smaller GM? Use that to eliminate at least one or two options. • After you compute GM, compare the result to the beam (55 ft). Does the GM value make physical sense for a ship of this size?

✅ Before You Answer

• Be sure you are using the correct rolling-period formula for large ships, not small boats or models. • Check that you are squaring the correct variable (is it T or B in the numerator/denominator?) • After calculating, verify that the magnitude of GM (on the order of a few feet) is reasonable for a 350-ft ship and that your answer matches one of the choices.

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Question 1 of 20

Your vessel has a displacement of 10,000 tons. It is 350 feet long and has a beam of 55 feet. You have timed its rolling period to be 15.0 seconds. What is your vessel's approximate GM?

1.18 feet

1.83 feet

2.60 feet

3.36 feet

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Question 1 / 2066636eec28f7522a1c51d0e7

Question 1 of 2066636eec28f7522a1c51d0e7

Your vessel has a displacement of 10,000 tons. It is 350 feet long and has a beam of 55 feet. You have timed its rolling period to be 15.0 seconds. What is your vessel's approximate GM?

Back

Question 1 of 20

66636eec28f7522a1c51d0e7

Your vessel has a displacement of 10,000 tons. It is 350 feet long and has a beam of 55 feet. You have timed its rolling period to be 15.0 seconds. What is your vessel's approximate GM?

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

💭 Think About

✅ Before You Answer

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed