ssuming the caterpillar starts at the ottom, give two equations for its vertical esition (height) as a function of time (t, seconds), one using cos and the other th sine

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve and complete the solution.
Transcribed Image Text:Solve and complete the solution.
9.
WHAT?????
A windmill spins at a rate of 15 rpm (Revolutions
per minute). Its arms are 3 m long and its center
sits 12 m above the ground. A caterpillar clinging
to the edge of an arm will experience periodic
motion. Let 'h' represent the height of the
caterpillar from the ground.
a) What is the period of the rotation?
b) Assuming the caterpillar starts at the
bottom, give two equations for its vertical
position (height) as a function of time (†,
in seconds), one using cos and the other
with sine
c) Determine the angular velocity of the
caterpillar in rads/sec.
d) How far did the caterpillar travel in 24
minutes?
Transcribed Image Text:9. WHAT????? A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let 'h' represent the height of the caterpillar from the ground. a) What is the period of the rotation? b) Assuming the caterpillar starts at the bottom, give two equations for its vertical position (height) as a function of time (†, in seconds), one using cos and the other with sine c) Determine the angular velocity of the caterpillar in rads/sec. d) How far did the caterpillar travel in 24 minutes?
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