While steaming at 14.5 knots, your vessel consumes 319 barrels of fuel oil per day. In order to reduce consumption to 217 barrels of fuel oil per day, what is the maximum speed the vessel can turn for?
• Relationship between speed and fuel consumption (often proportional to roughly the cube of speed for displacement vessels) • Setting up a ratio between old and new conditions (speed vs. consumption) • Converting barrels per day comparison into a dimensionless fraction to relate the two speeds
• How can you express the new fuel consumption (217 barrels/day) as a fraction of the old consumption (319 barrels/day)? • If fuel consumption is roughly proportional to the cube of speed, how would you relate (new speed / old speed) to (new consumption / old consumption)? • Once you find the new speed as a decimal, which choice is closest to that value?
• Be sure to treat 319 and 217 as a ratio, not as separate numbers in different equations. • Check that your new speed is less than 14.5 knots, since you are reducing consumption. • After calculating, compare your result carefully to the nearest option among the choices given.
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