Your sailing drafts are: FWD 17'-07", AFT 18'-05" and the GM is 3.4 feet. What will be the angle of list if #4 port double bottom (capacity 140 tons, VCG 2.6 feet, and 26 feet off the centerline) is filled with saltwater? (Use the data in Section 1, the blue pages, of the Stability Data Reference Book)
• Transverse GM (metacentric height) and how it affects angle of list • Formula for list due to an off-center weight: involve heeling moment and righting moment (W × GM) • Using the Stability Data Reference Book (blue pages) to find ship’s displacement and transverse GM for the given drafts
• How do you calculate the heeling moment created by filling #4 port double bottom (given its weight and transverse distance from centerline)? • Once you know the heeling moment, how do you relate it to W × GM × tan(list angle) to solve for the angle of list? • Looking at the displacement and GM from the stability data for these drafts, does a 140‑ton off-center weight seem likely to cause a very small, moderate, or very large list angle?
• From the blue pages, confirm the actual displacement and transverse GM at drafts 17'-07" FWD and 18'-05" AFT (don’t just use the given 3.4 ft without checking how it’s applied). • Compute the heeling moment = weight × transverse distance (use long tons if the book uses them, and keep units consistent). • Rearrange the list formula heeling moment = displacement × GM × tan(θ) to solve for tan(θ), then check whether θ is closest to <1°, ~3°, ~6°, or ~9°.
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