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Fundamental Frequency

  • #1

Homework Statement



A 90 cm long steel string with a linear density of 1.1g/m is under 200N tension. It is plucked and vibrates at its fundamental frequency. What is the wavelength of the sound wave that reaches your ear in a 20 degree C room?

Homework Equations



f = 1/2L * sqrt T/mu
v = f*gamma

The Attempt at a Solution


1/(2*0.9) * sqrt (200/1.1) = 7.49Hz
v = f*gamma so v/f = gamma; 343m/s/7.49 Hz = 45.78m
but this answer is wrong! Where did I go wrong?
 

Answers and Replies

  • #2
wukunlin
Gold Member
403
44
metric units?
 
  • #3
yes, all metric
 
  • #4
wukunlin
Gold Member
403
44
what is the metric unit for mass?
 
  • #5
do I need to convert grams to kilograms?
 
  • #6
yup. thanks!
 

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