Sir Francis Beaufort (1774-1857), Commander in the British Royal Navy, created the Beaufort Wind Force Scale in 1805 - a simple numerical relationship to wind speed based on an observation of the effects of the wind. The heart of Beaufort's Scale was the effect of the wind on his 18th-century fighting ship in terms of the ship's characteristics under sail. The descriptions for Beaufort numbers O through 4 describe the wind in terms of the speed that it may propel the ship; those for 5 through 9 in terms of the ship's mission and sail-carrying ability; and those for 10 through 12 in terms of the ship's survival. Beaufort number WMO' description Calm 1 Light air 2 Light breeze 3 Gentle breeze 4 Moderate breeze 5 Fresh breeze 6 Strong breeze 7 Near gale 8 Gale Strong gale 10 Storm 11 Violent storm 12 Hurricane 1 World Meteorological Organization In 1946 the International Commission for Weather Telegraphy developed velocity equivalents for the Beaufort scale, transforming it from a tool of the mariner to that of the meteorologist. The equation used to convert wind speed to a Beaufort value is represented by the formula B= 2/5+8.5 – 5 where Brepresents the Beaufort number and s represents the speed of the wind in knots. A knot is a unit of speed equal to one nautical mile per hour (or approximately 1.151 miles per hour). a. Describe the transformations that convert the parent function y = /z to the Beaufort scale model. b. What is an appropriate domain and range for this function? How does that compare to the domain and range of the problem situation? 9,
Sir Francis Beaufort (1774-1857), Commander in the British Royal Navy, created the Beaufort Wind Force Scale in 1805 - a simple numerical relationship to wind speed based on an observation of the effects of the wind. The heart of Beaufort's Scale was the effect of the wind on his 18th-century fighting ship in terms of the ship's characteristics under sail. The descriptions for Beaufort numbers O through 4 describe the wind in terms of the speed that it may propel the ship; those for 5 through 9 in terms of the ship's mission and sail-carrying ability; and those for 10 through 12 in terms of the ship's survival. Beaufort number WMO' description Calm 1 Light air 2 Light breeze 3 Gentle breeze 4 Moderate breeze 5 Fresh breeze 6 Strong breeze 7 Near gale 8 Gale Strong gale 10 Storm 11 Violent storm 12 Hurricane 1 World Meteorological Organization In 1946 the International Commission for Weather Telegraphy developed velocity equivalents for the Beaufort scale, transforming it from a tool of the mariner to that of the meteorologist. The equation used to convert wind speed to a Beaufort value is represented by the formula B= 2/5+8.5 – 5 where Brepresents the Beaufort number and s represents the speed of the wind in knots. A knot is a unit of speed equal to one nautical mile per hour (or approximately 1.151 miles per hour). a. Describe the transformations that convert the parent function y = /z to the Beaufort scale model. b. What is an appropriate domain and range for this function? How does that compare to the domain and range of the problem situation? 9,
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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