Question 1117684: A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds.
Find:
a) the amplitude of the motion
b) the period of the motion
c) the frequency of the motion
d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.
e) the displacement from the rest position at t= 3 min rounded to the tenths place
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds.
Find:
a) the amplitude of the motion
3 inches
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b) the period of the motion
1.6 seconds
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c) the frequency of the motion
1/1.6 = 5/8 Hz
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d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.
y = 3cos(16t/(5pi))
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e) the displacement from the rest position at t= 3 min rounded to the tenths place
y = 3cos(16t/(5pi))
y @ 180 seconds = y = 3cos(16*180/(5pi)) = 3cos(576/pi) = 1.26879
--> 1.3 inches
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