Your vessel consumes 156 barrels of fuel per day at a speed of 13.0 knots. What will be the fuel consumption of your vessel at 16.0 knots?
• Relationship between fuel consumption and speed for displacement vessels (often approximated by a cube law: power ∝ speed³) • Using ratios to compare consumption at two different speeds • Keeping units consistent (barrels per day at both speeds)
• First, think about how the required power (and thus fuel consumption) changes when speed increases from 13.0 knots to 16.0 knots. Is it a simple linear change, or something else? • Set up a proportion using the idea that fuel consumption is proportional to speed raised to some power. How can you express the new consumption in terms of the old one and the speed ratio (16 ÷ 13)? • Once you compute the new consumption, compare it with the choices and see which one is closest to your calculated value.
• Be sure you are not assuming a purely linear relationship between speed and fuel consumption. • Double-check your calculation of the speed ratio (16 ÷ 13) and the exponent you apply to it. • After calculating the new barrels per day, confirm the value is reasonable: it should be higher than 156 bbls/day, but not an unrealistic jump.
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