We all sound like great singers in the shower, due to standing waves. Assume tha

Question

  We all sound like great singers in the shower, due to standing waves. Assume that your shower is 2.65m  (about 8.72ft ) tall and can be modeled as an organ pipe. Part A What will we have at the floor and ceiling, displacement nodes or antinodes? Express your answer as "nodes" or "antinodes". nodes SubmitMy AnswersGive Up Correct Part B What is the wavelength of the fundamental harmonic for standing waves in this shower? ?fund = 5.30 m SubmitMy AnswersGive Up Correct Part C What is the frequency of the fundamental harmonic for standing waves in this shower? ffund = 64.9 Hz SubmitMy AnswersGive Up Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Part D What are the wavelengths of the first two overtones for this shower? ?ov1,?ov2 =
m SubmitMy AnswersGive Up Try Again Your answer does not have the correct number of comma-separated terms. Part E What are the frequencies of the first two overtones for this shower? fov1,fov2 =
Hz SubmitMy AnswersGive Up Try Again
  We all sound like great singers in the shower, due to standing waves. Assume that your shower is 2.65m  (about 8.72ft ) tall and can be modeled as an organ pipe.
  We all sound like great singers in the shower, due to standing waves. Assume that your shower is 2.65m  (about 8.72ft ) tall and can be modeled as an organ pipe.   We all sound like great singers in the shower, due to standing waves. Assume that your shower is 2.65m  (about 8.72ft ) tall and can be modeled as an organ pipe.   We all sound like great singers in the shower, due to standing waves. Assume that your shower is 2.65m  (about 8.72ft ) tall and can be modeled as an organ pipe. Part A What will we have at the floor and ceiling, displacement nodes or antinodes? Express your answer as "nodes" or "antinodes". nodes SubmitMy AnswersGive Up Correct Part B What is the wavelength of the fundamental harmonic for standing waves in this shower? ?fund = 5.30 m SubmitMy AnswersGive Up Correct Part C What is the frequency of the fundamental harmonic for standing waves in this shower? ffund = 64.9 Hz SubmitMy AnswersGive Up Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Part D What are the wavelengths of the first two overtones for this shower? ?ov1,?ov2 =
m SubmitMy AnswersGive Up Try Again Your answer does not have the correct number of comma-separated terms. Part E What are the frequencies of the first two overtones for this shower? fov1,fov2 =
Hz SubmitMy AnswersGive Up Try Again Part A What will we have at the floor and ceiling, displacement nodes or antinodes? Express your answer as "nodes" or "antinodes". nodes SubmitMy AnswersGive Up Correct Part B What is the wavelength of the fundamental harmonic for standing waves in this shower? ?fund = 5.30 m SubmitMy AnswersGive Up Correct Part C What is the frequency of the fundamental harmonic for standing waves in this shower? ffund = 64.9 Hz SubmitMy AnswersGive Up Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Part D What are the wavelengths of the first two overtones for this shower? ?ov1,?ov2 =
m SubmitMy AnswersGive Up Try Again Your answer does not have the correct number of comma-separated terms. Part E What are the frequencies of the first two overtones for this shower? fov1,fov2 =
Hz SubmitMy AnswersGive Up Try Again Part A What will we have at the floor and ceiling, displacement nodes or antinodes? Express your answer as "nodes" or "antinodes". nodes SubmitMy AnswersGive Up Correct Part B What is the wavelength of the fundamental harmonic for standing waves in this shower? ?fund = 5.30 m SubmitMy AnswersGive Up Correct Part C What is the frequency of the fundamental harmonic for standing waves in this shower? ffund = 64.9 Hz SubmitMy AnswersGive Up Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Part D What are the wavelengths of the first two overtones for this shower? ?ov1,?ov2 =
m SubmitMy AnswersGive Up Try Again Your answer does not have the correct number of comma-separated terms. Part E What are the frequencies of the first two overtones for this shower? fov1,fov2 =
Hz SubmitMy AnswersGive Up Try Again Part A What will we have at the floor and ceiling, displacement nodes or antinodes? Express your answer as "nodes" or "antinodes". nodes SubmitMy AnswersGive Up Correct Part A What will we have at the floor and ceiling, displacement nodes or antinodes? Express your answer as "nodes" or "antinodes". nodes SubmitMy AnswersGive Up Correct nodes nodes SubmitMy AnswersGive Up Correct Correct Correct Part B What is the wavelength of the fundamental harmonic for standing waves in this shower? ?fund = 5.30 m SubmitMy AnswersGive Up Correct Part B What is the wavelength of the fundamental harmonic for standing waves in this shower? ?fund = 5.30 m SubmitMy AnswersGive Up Correct ?fund = 5.30 m ?fund = 5.30 m SubmitMy AnswersGive Up Correct Correct Correct Part C What is the frequency of the fundamental harmonic for standing waves in this shower? ffund = 64.9 Hz SubmitMy AnswersGive Up Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Part C What is the frequency of the fundamental harmonic for standing waves in this shower? ffund = 64.9 Hz SubmitMy AnswersGive Up Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. ffund = 64.9 Hz ffund = 64.9 Hz SubmitMy AnswersGive Up Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Correct Significant Figures Feedback: Your answer 64 Hz was either rounded differently or used a different number of significant figures than required for this part. Part D What are the wavelengths of the first two overtones for this shower? ?ov1,?ov2 =
m SubmitMy AnswersGive Up Try Again Your answer does not have the correct number of comma-separated terms. Part D What are the wavelengths of the first two overtones for this shower? ?ov1,?ov2 =
m SubmitMy AnswersGive Up Try Again Your answer does not have the correct number of comma-separated terms. ?ov1,?ov2 =
m ?ov1,?ov2 =
m SubmitMy AnswersGive Up Try Again Your answer does not have the correct number of comma-separated terms. Try Again Your answer does not have the correct number of comma-separated terms. Try Again Your answer does not have the correct number of comma-separated terms. Part E What are the frequencies of the first two overtones for this shower? fov1,fov2 =
Hz SubmitMy AnswersGive Up Try Again Part E What are the frequencies of the first two overtones for this shower? fov1,fov2 =
Hz SubmitMy AnswersGive Up Try Again fov1,fov2 =
Hz fov1,fov2 =
Hz SubmitMy AnswersGive Up Try Again Try Again Try Again ?fund = 5.30 m

Explanation / Answer

a) Nodes. because at closed ends we have nodes in organ pipies

b) here

fundamanetal harmonic is given by

L=lamda/2. as it is closed at both ends

so , lamda=2.65*2=5.3m

c)

we have speed of sound=343.2 m/s at room temp.

so

v=lamda*frequency

so frequency=v/lamda=343.2/5.3=64.7547 hz , depends on temperature as sound's speed changes

d)

first overtone

L=1*lamda

so

lamda(1)=2.65m

2nd overtone

L=1.5*lamda

so

lamda=2/3*2.65=5.3/3=1.766666667m

e)

first overtone

we have

f=(2/2L)*v

so

f1=(1/2.65)*343.2=129.5094 Hz

now second overtone

f2=(3/2L)*v

so

f2=(3/5.3)*343.2=194.2641 Hz

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