You have steamed 989 miles at 16.5 knots and consumed 215 tons of fuel. If you have 345 tons of usable fuel remaining, how far can you steam at 13 knots?
• Relationship between fuel consumption per hour and speed for a displacement vessel (often assumed to change with a power of the speed, not linearly). • How to compute fuel consumption rate (tons per hour) from distance, speed, and fuel used. • Using remaining fuel to find endurance in hours, then converting that to distance at the new speed.
• From the initial voyage data, how many hours did the vessel steam, and what was the tons per hour fuel rate at 16.5 knots? • If fuel burned per hour changes more rapidly than speed (not just directly proportional), what mathematical relationship between the two speeds would greatly increase range at the lower speed? • Once you know the new tons-per-hour rate at 13 knots, how long (in hours) can you steam on 345 tons, and what distance does that correspond to at 13 knots?
• Be sure you are using fuel per hour, not fuel per mile, when applying the speed–consumption relationship. • Check that your assumed relationship between the two fuel rates uses both speeds correctly (e.g., a ratio involving powers of 16.5 and 13). • After computing the distance, confirm the result is reasonable: the range at 13 knots should be substantially greater than the distance already steamed at 16.5 knots.
No comments yet
Be the first to share your thoughts!