22. A small windmill has its centre 6 m above the ground and blades 2 m in length. In a steady wind, a point P at the tip of one blade makes a complete rotation in 12 s. An equation which models the relationship between the height of the point P above the ground, in metres, at time t, in seconds is h = −2 cos (t) + 6. If 0 ≤ t ≤ 12, what time(s) is point P exactly 7 m above the ground?
22. A small windmill has its centre 6 m above the ground and blades 2 m in length. In a steady wind, a point P at the tip of one blade makes a complete rotation in 12 s. An equation which models the relationship between the height of the point P above the ground, in metres, at time t, in seconds is h = −2 cos (t) + 6. If 0 ≤ t ≤ 12, what time(s) is point P exactly 7 m 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:22. A small windmill has its centre 6 m above the ground and blades 2 m in length. In a steady wind, a point P at the
tip of one blade makes a complete rotation in 12 s. An equation which models the relationship between the height of the
point P above the ground, in metres, at time t, in seconds is h = −2 cos
(t) + 6. If 0 ≤ t ≤ 12, what time(s) is point P
exactly 7 m above the ground?
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