A wind turbine has a tubular steel tower that is 70 meters high. It has three 20-meter long blades attached to the top of the tower, as in the figure below. 20 m 70 m (a) Blade 1 starts at the 3 o'clock position and rotates counterclockwise. Find a formula for the height h, in meters, of the tip of blade 1 as a function of the angle 0° . As usual, we measure 0 counterclockwise from the 3 o'clock position.

A wind turbine has a tubular steel tower that is 70 meters high. It has three 20-meter long blades attached to the top of the tower, as in the figure below. 20 m 70 m (a) Blade 1 starts at the 3 o'clock position and rotates counterclockwise. Find a formula for the height h, in meters, of the tip of blade 1 as a function of the angle 0° . As usual, we measure 0 counterclockwise from the 3 o'clock position.

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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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

A wind turbine has a tubular steel tower that is 70 meters high. It has three 20-meter long blades attached to the top of the tower, as in the figure
below.
20 m H
70 m
(a) Blade 1 starts at the 3 o'clock position and rotates counterclockwise. Find a formula for the height h, in meters, of the tip of blade 1 as a
function of the angle 0°. As usual, we measure 0 counterclockwise from the 3 o'clock position.

h(0):
? Edit
(b) Two ladybugs land on the blade, the first on the tip and the second half way between the tip and the rotor. Find functions, h1 (0) for the first
bug and h2 (0) for the second bug, describing the height of each bug above the ground as a function of the angle 0.
h1 (0) :
? Edit
h2(0)
? Edit

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