Your vessel displaces 696 tons and measures 135'L by 34'B. What is the reduction in GM due to free surface if the fish hold (32'L by 29'B by 9'D) is filled with 2.0 feet of water? (Each foot of water weighs 26.5 tons)
• Free surface effect and how it reduces metacentric height (GM) • How to compute the weight of water in the tank from depth and weight per foot of water • The formula relating free surface moment, displacement, and reduction in GM
• First, determine how many tons of water are actually in the hold at 2.0 feet depth. How do the tank dimensions and the given "tons per foot of water" relate? • Think about whether you need to use the full tank depth or only the depth of water actually present when finding the free surface effect. • Once you have the free surface moment, how is reduction in GM related to that and the vessel’s total displacement (696 tons)?
• Be sure you are using the correct water depth (2.0 ft) in any volume/weight calculations, not the full 9 ft tank depth. • Confirm that your units are consistent: tons, feet, and ton-feet (or ton-ft² for moments of inertia). • Before picking an answer, check whether your computed reduction in GM is a reasonable fraction of the vessel’s GM, not larger than the vessel’s likely transverse stability.
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