The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the end of the blade that is pointing directly to the right of the center. Here are graphs showing the horizontal and vertical distances of point P relative to the center of the windmill as the blades rotate counterclockwise. YA y cos(@) 27 3x 4x 5m YA y= sin(@) 12x 3 5x -1 1. How many full rotations are shown by the graphs? Explain how you know. 2. What do the values of the graphs at 0 3. List some different angles of rotation that bring P to the highest point in its circle of rotation. = 37 mean in this context? What do you notice about these angles? 4. How many angles show point P at a height of 0.71 meters? Explain or show your reasoning.
The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the end of the blade that is pointing directly to the right of the center. Here are graphs showing the horizontal and vertical distances of point P relative to the center of the windmill as the blades rotate counterclockwise. YA y cos(@) 27 3x 4x 5m YA y= sin(@) 12x 3 5x -1 1. How many full rotations are shown by the graphs? Explain how you know. 2. What do the values of the graphs at 0 3. List some different angles of rotation that bring P to the highest point in its circle of rotation. = 37 mean in this context? What do you notice about these angles? 4. How many angles show point P at a height of 0.71 meters? Explain or show your reasoning.
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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Transcribed Image Text:The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the end
of the blade that is pointing directly to the right of the center. Here are graphs showing the
horizontal and vertical distances of point P relative to the center of the windmill as the blades rotate
counterclockwise.
YA y= cos(0)
2
4
YA y= sin(@)
3
专 S
-1
1. How many full rotations are shown by the graphs? Explain how you know.
2. What do the values of the graphs at 8 = 37 mean in this context?
3. List some different angles of rotation that bring P to the highest point in its circle of rotation.
What do you notice about these angles?
4. How many angles show point P at a height of 0.71 meters? Explain or show your reasoning.
%3D
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