hapter 16 HW #1 Begin Date: 1/5/2018 12:00:00 AM-Due Date: 1/31/2018 11:59:00 PM

Question

hapter 16 HW #1 Begin Date: 1/5/2018 12:00:00 AM-Due Date: 1/31/2018 11:59:00 PM End Date: 19/2018 12:00:00 AM (13%) Problem 3: While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every T= 6.1 seconds. Randomized Variables T- 6.1 seconds 25% Part (a) Calculate the frequency of oscillation (in Hertz) of the chandelier 25% Part (b) Calculate the angular frequency of the chandelier in radians/second 25% Part (c) Determine the length L in meters of the chandelier. 25% Part (d) That evening, while hanging out in JJ. Thompson's House O' Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.01 seconds slower, so the period is T+0.01 seconds. Determine the acceleration due to gravity in m/s at the club. Grade Summary 0% 1 00% Potential sin cotan) atan() coshO coso asino tano) acoso sinh() 7 8 9 4 5 6 Attempts remaining: 10 (0% per attempt) detailed view acotar ( ) tanho cotanhO ODegrees O Radians Hint I give up! Hints:-% deduction per hin. Hints remaining:- Feedback: deduction per feedback.

Explanation / Answer

a)

T = 6.1 s

So, f = 1/T = 1/6.1 = 0.164 Hz

b)

angular frequency, W = 2*pi*f

= 2*pi*0.164 = 1.03 rad/s

c)

T = sqrt(L/g)*(2*pi)

So, 6.1 = sqrt(L/9.8)*pi*2

So, L = 9.24 m <----------- answer

d)

T = sqrt(L/g)*(2*pi)

So, 6.11 = sqrt(9.24/g)*pi*2

So, g = 9.77 m/s2 <----- answer

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