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A small windmill has its center 6m above the ground and blades 2m in length in a steady wind, point P at the tip of one blade makes a complete rotation in 12 s. a) If the rotation begins at the highest possible point, draw a sketch showing 2 cycles.

A small windmill has its center 6m above the ground and blades 2m in length in a steady wind, point P at the tip of one blade makes a complete rotation in 12 s. a) If the rotation begins at the highest possible point, draw a sketch showing 2 cycles.

Advanced Engineering Mathematics
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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1. A small windmill has its center 6m above the ground and blades 2m in length in a steady wind, a point P at the tip of one blade makes a complete rotation in 12 s. a) If the rotation begins at the highest possible point, draw a sketch showing 2 cycles. b) Determine a function that gives the height of point P above the ground at a time t. c) What is the height of point P at 5s and 40s? Check your answer for 5s by looking at the graph. d) At what time during the first cycle is P exactly 7m above the ground? Confirm your answer by looking at the graph.
Transcribed Image Text:1. A small windmill has its center 6m above the ground and blades 2m in length in a steady wind, a point P at the tip of one blade makes a complete rotation in 12 s. a) If the rotation begins at the highest possible point, draw a sketch showing 2 cycles. b) Determine a function that gives the height of point P above the ground at a time t. c) What is the height of point P at 5s and 40s? Check your answer for 5s by looking at the graph. d) At what time during the first cycle is P exactly 7m above the ground? Confirm your answer by looking at the graph.
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