Easy Waves

  • Thread starter gillyr2
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  • #1
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Homework Statement


string is under tension 400N. A 1m string has mass 5grams. what is the speed if the wavelength is 1m. What is the speed if the wavelength is .5m. What is the frequency?


Homework Equations


v = sqrt(Tension/(m/L))
v = f * wavelength


The Attempt at a Solution



a) v = sqrt(400N / (.005kg/1m) = 283m/s

b) im confused. whether to use the first or second equation?
v=sqrt(400N/.005kg/.5m) = 200m/s

c) f = v/wl = 200m/.5ms = 400Hz

is this correct?
 
Last edited:

Answers and Replies

  • #2
45
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just a push in the right direction would be highly appreciated
 
  • #3
458
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L is the entire length of the string. Why would the linear mass density, something that is inherent and doesn't change with the same string, be changing?
 
  • #4
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so for b) would it be 1m for both, or is the speed impossible to derive from that formula?
 
  • #5
458
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If [tex] V=\sqrt{\frac{T}{\mu}}[/tex]

What do you hypothesise if mu and T are always constant?
 

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