o ook at the picture below. As a windmill's blade rotates, the height of its tip above ground is given by H(t) = 10 cos(30t - 10)° +20, 0≤t≤ 36 metres, where t is the time in seconds. a) Find the initial height of the blade's tip above the ground. b) When will the blade's tip reach the maximum height above the ground? Hence, calculate the maximum height of the blade's tip above the ground. c) When will the blade's tip reach the minimum height above the ground? Hence, calculate the minimum height of the blade's tip above the ground.
o ook at the picture below. As a windmill's blade rotates, the height of its tip above ground is given by H(t) = 10 cos(30t - 10)° +20, 0≤t≤ 36 metres, where t is the time in seconds. a) Find the initial height of the blade's tip above the ground. b) When will the blade's tip reach the maximum height above the ground? Hence, calculate the maximum height of the blade's tip above the ground. c) When will the blade's tip reach the minimum height above the ground? Hence, calculate the minimum height of the blade's tip above the ground.
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:8. Look at the picture below.
As a windmill's blade rotates, the height of its tip above ground is given by
H(t) = 10 cos(30t - 10)° +20, 0≤t≤ 36 metres, where t is the time in seconds.
a) Find the initial height of the blade's tip above the ground.
b) When will the blade's tip reach the maximum height above the ground? Hence, calculate the
maximum height of the blade's tip above the ground.
c) When will the blade's tip reach the minimum height above the ground? Hence, calculate the
minimum height of the blade's tip above the ground.
d) Sketch the graph of H against t for the given domain.
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