Physics

posted by .

A guitar string is 90cm long and has a mass of 3.8g . The distance from the bridge to the support post is L=62cm , and the string is under a tension of 540N . What are the frequencies of the fundamental and first two overtones?

  • Physics -

    v = sqrt(TL₀/m)=
    =sqrt(540•0.9/0.0038) =357.6 m/s.
    Fundamental frequency f:
    λ=v/f=2L
    f=v/ λ=v/2L=357.6/2•0.62 = 288.4 Hz.

    f1=v/λ₁=v/L=357.6/0.62=576.8 Hz
    f2=v/λ₂=v/(2L/3)=3 v/2L=865.2 Hz

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    SEQUENCE of questions: 1)A typical steel B-string in a guitar resonates at its fundamental frequency at 240 Hertz. The length of the string is 0.620 m. What is the wave velocity along the string?
  2. physics

    The diagram represents a snapshot of a standing transverse wave on a flexible guitar string taken when the displacement is at a maximum. (Note: the vertical scale is very exaggerated, the actual sideways displacement of the string …
  3. Physics - Waves

    he largest tension that can be sustained by a stretched string of linear mass density μ, even in principle, is given by τ = μc2, where c is the speed of light in vacuum. (This is an enormous value. The breaking tensions …
  4. Physics- PLEASE HELP

    A 60.00 cm guitar string under a tension of 46.000 N has a mass per unit length of 0.11000 g/ cm. (a) What is the speed of the wave?
  5. Physics- PLEASE HELP

    A 60.00 cm guitar string under a tension of 46.000 N has a mass per unit length of 0.11000 g/ cm. (a) What is the speed of the wave?
  6. Physics- Someone Please Help!!!

    A 60.00 cm guitar string under a tension of 46.000 N has a mass per unit length of 0.11000 g/ cm. (a) What is the speed of the wave?
  7. Physics- Elena please help!

    A 60.00 cm guitar string under a tension of 46.000 N has a mass per unit length of 0.11000 g/ cm. (a) What is the speed of the wave?
  8. physics

    A guitar string is 92 cm long and has a mass of 3.7 g. The length L from the bridge to the support post is 65 cm, and the string is under a tension of 570 N. What is the frequency of the fundamental tone thanks!
  9. Physics

    A guitar string is 108 cm long and has a mass of 2.90 g. From the bridge to the support post (L) is 70 cm, and the string is under a tension of 470 N. What is the frequency of the first overtone?
  10. physics

    A guitar string is 97 cm long and has a mass of 3.6 g. The length L from the bridge to the support post is 61 cm, and the string is under a tension of 570 N. What is the frequency of the fundamental tone?

More Similar Questions