A vessel carries three slack tanks of...

Study

Question 1 of 2066636eec28f7522a1c51d0ba

A vessel carries three slack tanks of gasoline (SG .68). The vessel's displacement is 8,000 tons. Each tank is 50 ft. long and 20 ft. wide. What is the reduction in GM due to free surface with the vessel floating in sea water (SG 1.026)?

Back

Question 1 of 20

66636eec28f7522a1c51d0ba

No comments yet

Be the first to share your thoughts!

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

🔍 Key Concepts

• Free surface effect and how it reduces metacentric height (GM) • Formula for free surface moment (FSM): tank length × tank breadth³ × specific gravity of liquid • Relationship: reduction in GM = total FSM ÷ vessel displacement

💭 Think About

• Start by finding the free surface moment for ONE slack tank using its dimensions and the liquid’s specific gravity, then scale up for three tanks. • Remember to convert the vessel’s displacement in tons to an equivalent weight in long tons or pounds consistent with your FSM units before dividing. • Think about whether the surrounding seawater’s specific gravity changes the tank FSM itself, or only affects the vessel’s displacement value used in the GM reduction formula.

✅ Before You Answer

• Confirm you are using breadth cubed (B³), not just breadth or breadth squared, in the FSM formula. • Make sure you multiply the single-tank FSM by three tanks before dividing by displacement. • Verify that your final GM reduction is in feet, and that all length dimensions in the calculation were in feet so the units are consistent.

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

Quick actions

— No credit card needed