Weekly 13: Oscillations Item 23 23 of 23 In a science museum, a 120 kg brass pen

Question

Weekly 13: Oscillations Item 23 23 of 23 In a science museum, a 120 kg brass pendulum bob swings at the end of a 12.8 m-ong wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.2 mto the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping constant is only 0.010 kg/s Part A At exactly 12:00 noon, how many oscillations will the pendulum have completed? Express your answer as an integer N 2005 You may want to review (Pages 405 407) Previous Answers Correct Here we learn how to find the number of oscillations of a pendulum if we know its length and how long it has been oscillating Part B What is its amplitude at noon? Express your answer to two significant figures and include the appropriate units A-0.36 Submit Previous Answers Request Answer X Incorrect: Try Again; 29 attempts remaining Return to Assignment Provide Feedback

Explanation / Answer

part B)

given

damping constant, b = 0.01 kg/s

t = 4 hours

= 4*60*60

= 14400 s

m = 120 kg

Ao = 1.2 m

we know, Amplitude after time t,

A = Ao*e^((-b/(2*m))*t)

= 1.2*e^((-0.01/(2*120))*14400)

= 0.658 m <<<<<<<----------------------Answer

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