YumYum247
  • YumYum247
yelp!!!
Physics
katieb
  • katieb
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YumYum247
  • YumYum247
1 Attachment
YumYum247
  • YumYum247
This is how i attempted to do the question..... Fn = nF1 (16.5Hz) Fn = 16.5Hz The fundamental frequency is 16.5Hz
YumYum247
  • YumYum247
can someone please give me a hint on how to solve for the speed of the wave...V = d/t How do i find time here?????????????? :(

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YumYum247
  • YumYum247
|dw:1436754247641:dw|
Astrophysics
  • Astrophysics
\[v = \lambda f\]
Astrophysics
  • Astrophysics
What did you get for the first answer?
YumYum247
  • YumYum247
the fundamental frequency/natural frequency of the string is 16.5Hz
Astrophysics
  • Astrophysics
But it's asking for the string
Astrophysics
  • Astrophysics
\[\huge f_{freq} = 3 f_{string}\]
Astrophysics
  • Astrophysics
Where your \[f_{freq} = 16.5 Hz\]
YumYum247
  • YumYum247
fundamental frequency is the lowest frequency that a system can produce to make a standing wave.
YumYum247
  • YumYum247
that would the natural frequency in the 3rd harmonic phase.
YumYum247
  • YumYum247
i did a question earlier related tho this, and the fundamental frequency of the wave was the very lowest that a wave produced in a fixed postion....like this |dw:1436755214463:dw|
YumYum247
  • YumYum247
that is the fundamental frequency of the wave....F = 30/.20 = 150Hz So the other two frequencies i had to figure out that make the standing waves were.... Fn = nF2 Fn = F2(150) = 300Hz Fn = nF3 Fn = F3(150) = 450Hz
YumYum247
  • YumYum247
|dw:1436755541130:dw|
YumYum247
  • YumYum247
|dw:1436755603442:dw|
YumYum247
  • YumYum247
|dw:1436755633977:dw|
YumYum247
  • YumYum247
but how do i find the time of wavelength?????????????:/
YumYum247
  • YumYum247
YumYum247
  • YumYum247
IrishBoy123
  • IrishBoy123
*can someone please give me a hint on how to solve for the speed of the wave* its a standing wave and its wave form is not actually visibly *travelling* but it still has "velocity" \( v = \frac{2 \ L \ f_n}{n} \) so velocity \(v\) and freq \(f_3\) for the 3rd harmonic are related as follows: \( v = \frac{2 \ L \ f_3}{3} \) or \( f_3 = \frac{3v}{2L} \)
YumYum247
  • YumYum247
Thank you Irishman!!! :)
YumYum247
  • YumYum247
and is my fundamental frequency correct?????????????????? @IrishBoy123
IrishBoy123
  • IrishBoy123
this is a long old thread so let me step through it as i see it and you judge if this makes sense to you: first there is resonance with the 16.5Hz source so we can say: |dw:1436805378856:dw| v is fixed, it is a consequence if the tension in and density of the string. so the "fundamental harmonic will look like this: |dw:1436805640680:dw| if this makes sense, we can do the last bit and look again at that equation i posted as i think it is important to note that it is totally derivable and not something of a lack box. this fits nicely with part (iii) of the question so i hope this is all going according to plan.....
IrishBoy123
  • IrishBoy123
forgive "lack box" [= "black box"] and myriad other typos....
IrishBoy123
  • IrishBoy123
in terms of what can be a resonant frequency, here is the beginning of the possible standing wave patterns: |dw:1436806502148:dw| IOW: \(\lambda_n = \frac{2 L}{n}\) and \(v = f . \lambda\) which gives us the formula i quoted previously, \(f_n = \frac{v}{\lambda} = \frac{n . v}{2L}\) ergo, resonant frequencies go in integer multiples of \(\frac{ v}{2L}\) which here is \(\frac{66}{2*6} = 5.5Hz\). and \(\frac{28.5}{5.5} = ???\) does that make sense to you? do you agree?
YumYum247
  • YumYum247
|dw:1436844986642:dw|
YumYum247
  • YumYum247
|dw:1436845232173:dw|
YumYum247
  • YumYum247
f1 = 5.5Hz and V = 66m/sec
YumYum247
  • YumYum247
The next question asks me to find whether or not the new frequency of 28.5Hz would make a standing wave on the spring??????And this is how i did it.......|dw:1436847792123:dw|
YumYum247
  • YumYum247
|dw:1436847968394:dw|
YumYum247
  • YumYum247
i think in order for the new frequency to produce a complete standing wave, it has to be twice as big as the fundamental frequency....in this case 33Hz to make the next standing wave on the string......am i right???????O-o
YumYum247
  • YumYum247
@IrishBoy123 @Astrophysics the question asks me to find the minimum length of air in a column required for resonate??????This is how i did it...please check my work :)
1 Attachment
YumYum247
  • YumYum247
|dw:1436850740578:dw|
YumYum247
  • YumYum247
|dw:1436851048790:dw|
YumYum247
  • YumYum247
is that the minimum length of air/ fundamental length of air????????
YumYum247
  • YumYum247
@Michele_Laino Can you please check my work??????
YumYum247
  • YumYum247
the question asks me to find the fundamental frequency....i've done it up there but no one bothered to check my work, could you please give me a hand here???
Michele_Laino
  • Michele_Laino
I'm very sorry, I don't know your answer, since in my physics courses I have not studied acoustics
YumYum247
  • YumYum247
Aawwnnnn!!! :(
YumYum247
  • YumYum247
Elsa213
  • Elsa213
Elsa213
  • Elsa213
Elsa213
  • Elsa213
anonymous
  • anonymous
@Elsa213 I'm not good at physics...sorry :/
YumYum247
  • YumYum247
aight so this is my fundamental frequency.|dw:1436887286398:dw|