An ideal diameter d, in feet, of a ship's propeller is given by the formula d = 50 h r3 1/5 . 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.) ft (b) If a ship's engine has a horsepower of 7700 turning a propeller with a diameter of 20 feet, what should be the (maximum) revolutions per minute of the propeller? (Round your answer to two decimal places.) rpm
An ideal diameter d, in feet, of a ship's propeller is given by the formula d = 50 h r3 1/5 . 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.) ft (b) If a ship's engine has a horsepower of 7700 turning a propeller with a diameter of 20 feet, what should be the (maximum) revolutions per minute of the propeller? (Round your answer to two decimal places.) rpm
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
An ideal diameter d, in feet, of a ship's propeller is given by the formula
d = 50
.
| h |
| r3 |
| 1/5 | |
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.)
ft
(b) If a ship's engine has a horsepower of 7700 turning a propeller with a diameter of 20 feet, what should be the (maximum) revolutions per minute of the propeller? (Round your answer to two decimal places.)
rpm
ft
(b) If a ship's engine has a horsepower of 7700 turning a propeller with a diameter of 20 feet, what should be the (maximum) revolutions per minute of the propeller? (Round your answer to two decimal places.)
rpm
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