The liquid mud tanks on your vessel measure...

Question 1 of 2707066636eec28f7522a1c51c65c

The liquid mud tanks on your vessel measure 40'L by 20'B by 8'D. The vessel's displacement is 996 T and the specific gravity of the mud is 1.7. What is the reduction in GM due to a pair of these tanks (p/s) being slack?

Back

Question 1 of 27070

🔍 Key Concepts

• Free surface effect and how it reduces GM (metacentric height) • Formula for free surface correction: virtual rise in G based on free surface moment / displacement • Effect of specific gravity on the free surface moment for a liquid cargo

💭 Think About

• How do you calculate the free surface moment for a rectangular tank when it is slack? Think about the tank breadth and the liquid’s density. • Once you have the free surface moment for one tank, how will having port and starboard tanks both slack affect the total correction? • How does the vessel’s displacement (in tons) factor into turning that free surface moment into a reduction in GM?

✅ Before You Answer

• Be sure you are using breadth of the tank (not length or depth) in the free surface moment formula. • Confirm that you convert the tank’s free surface moment into ton-feet using the liquid’s specific gravity and proper units. • Check that you apply the correction for both tanks (p/s) and then divide by the vessel’s displacement (996 T) to find the GM reduction.