The transverse free surface correction of a...

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Question 1 of 2066636ee728f7522a1c518cf4

The transverse free surface correction of a floating MODU displacing 24,000 long tons is 1.0 foot. When the MODU is deballasted by discharging 8,000 long tons of ballast, the FSMT decreases by 4,000 ft-long tons. What is the new FSCT?

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🔍 Key Concepts

• Relationship between Free Surface Moment Transverse (FSMT) and Free Surface Correction Transverse (FSCT) • How FSMT changes when ballast is removed and displacement changes • Using consistent units: ft-long tons and long tons of displacement

💭 Think About

• How do you convert from a known FSCT and displacement to the corresponding FSMT before deballasting? • If the FSMT decreases by a known amount, what is the new FSMT, and what is the new displacement after removing ballast? • Once you know the new FSMT and new displacement, how do you get the new FSCT, and how do the choices compare to that value?

✅ Before You Answer

• Remember the basic relationship: FSCT = FSMT ÷ Displacement (check your units). • Verify you subtracted the correct amount from BOTH: FSMT (moment) and displacement (weight) after deballasting. • After calculating the new FSCT, compare it numerically to each choice and check if the value is slightly larger, smaller, or about the same as the original 1.0 foot, based on the physical effect of reducing ballast.

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