An ideal diameter d, in feet, of a ship's propeller is given by the formula d- 50(4)". Here h is the horsepower of the engine driving the propeller, and r is the (maximum) revolutions per minute of the propeller. (a) The Victory Ships produced in World War II had an engine that produced 6000 hersepower and rotated the propeller at 100 revolutions per minute. According to the formula, what should have been the diameter of their propellers? (The actual diameter was 18.2 feet. Round your answer to two decimal places.) (b) If a ship's engine has a horsepover of 7400 turning a propeller with a diameter of 24 feet, what should be the (maximum) revolutions per minute of the propeller? (Round your answer to tvo decimal places.) rpm

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An ideal diameter d, in feet, of a ship's propeller is given by the formula
Here h is the horsepower of the engine driving the propeller, and r is the (maximum) revolutions per minute of the propeller.
(a) The Victory Ships produced in World War II had an engine that produced 6000 horsepower and rotated the propeller at 100 revolutions per minute. According to the formula, what should have been the diameter of their propellers? (The actual diameter was 18.2 feet. Round your
answer to two decimal places.)
(b) If a ship's engine has a horsepower of 7400 turning a propeller with a diameter of 24 feet, what should be the (maximum) revolutions per minute of the propeller? (Round your answer to two decimal places.)
rpm
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Transcribed Image Text:An ideal diameter d, in feet, of a ship's propeller is given by the formula Here h is the horsepower of the engine driving the propeller, and r is the (maximum) revolutions per minute of the propeller. (a) The Victory Ships produced in World War II had an engine that produced 6000 horsepower and rotated the propeller at 100 revolutions per minute. According to the formula, what should have been the diameter of their propellers? (The actual diameter was 18.2 feet. Round your answer to two decimal places.) (b) If a ship's engine has a horsepower of 7400 turning a propeller with a diameter of 24 feet, what should be the (maximum) revolutions per minute of the propeller? (Round your answer to two decimal places.) rpm Need Help? Read It
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