Can Secret Agent Jane Pond Retrieve the Plans at the Bottom of the Well?

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Homework Help Overview

The problem involves Secret Agent Jane Pond attempting to retrieve secret plans from the bottom of a well using a rope and a device that emits sound at varying frequencies. The context includes identifying the relationship between the frequencies of sound that produce louder sounds, specifically 62.5 Hz and 87.5 Hz, and determining if the rope is long enough to reach the bottom of the well.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the concepts of wave superposition, constructive and destructive interference, and the nature of standing waves in relation to the problem. There is a request for clarification on how these concepts apply to the situation.

Discussion Status

Participants are actively engaging with the problem, with some providing insights into the nature of the sound waves involved. There is a mix of interpretations regarding the physics concepts at play, and further clarification is being sought.

Contextual Notes

There is an emphasis on understanding the physics of sound waves and their interactions, with some participants referencing external resources for further explanation. The depth of the well remains unknown, and the relationship between the frequencies and the physical setup is under exploration.

Sastronaut
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Homework Statement


Secret Agent Jane Pond must retrieve the secret plans of her arch-nemesis EvilToes. These plans were tossed (by one of EvilToes’ bumbling henchmen) down a well of unknown depth. Jane is carrying a rope 10m long and a “standard issue VPG-C1C7”. (The VPG-C1C7 is a device that will generate a pitch of the set frequency, allowing the user to vary that frequency continuously over six octaves.) When Jane holds the VPG-C1C7 over the hole and steadily increases the frequency of the emitted sound, she finds certain frequencies which sound much louder than others. Two successive (but not necessarily the lowest two) such “loud” frequencies are 62.5 Hz and 87.5 Hz. Is Jane’s rope long enough to reach the bottom of the hole?


Homework Equations





The Attempt at a Solution


I am still trying to identify where to begin for this situation...I believe that I am dealing with superposition of waves as well destructive and constructive interference. Could anyone just point me in the right direction as to where I should begin this problem! thanks pf!
 
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Hi Sastronaut! :smile:
Sastronaut said:
...I believe that I am dealing with superposition of waves as well destructive and constructive interference.

Nah, it's just music …

it's a very long organ pipe, and those are two standing waves. :wink:​
 
Hello tiny-tim!
how so?? could you explain further!
 
great video thank you so much for your help! :)