Question 2269 Deck Safety

70% to pass

A bulk freighter 680 ft. in length, 60 ft. beam, with a waterplane coefficient of .84, is floating in salt water at a draft of 21'. How many long tons would it take to increase the mean draft by 1"?

A 64.3 tons
B 81.6 tons
C 116 tons
D 69.6 tons
AI Explanation

The correct answer is B) 81.6 tons. To calculate the increase in draft, we can use the formula: Increase in draft = Change in displacement / (Waterplane area x Density of water). Given the vessel's length (680 ft), beam (60 ft), and waterplane coefficient (0.84), we can calculate the waterplane area as 0.84 x 680 x 60 = 34,560 sq ft. The density of saltwater is approximately 64 lb/cu ft. An increase in draft of 1 inch (1/12 ft) would result in an increase in displacement of 34,560 x 1/12 = 2,880 cu ft. Converting this to long tons (1 long ton = 2,240 lb), we get 2,880 x 64 / 2,240 = 81.6 long tons. Therefore, the correct answer is B) 81.6 tons.

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