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?

  1. 👍
  2. 👎
  3. 👁
  1. v = sqrt(TL₀/m)=
    =sqrt(540•0.9/0.0038) =357.6 m/s.
    Fundamental frequency f:
    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

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A small sphere of mass m = 7.50 g and charge q1 = 32.0 nC is attached to the end of a string and hangs vertically as shown in the figure. A second charge of equal mass and charge q2 = –58.0 nC is located a distance d = 2.00 cm

  2. physics

    an object of mass 0.5 kg is whirled at the end of string 0.8 m long if the string make three revolution in 1.2 sec find the tension of the string

  3. physics

    When a player's finger presses a guitar string down onto a fret, the length of the vibrating portion of the string is shortened, thereby increasing the string's fundamental frequency. The string's tension and mass per unit length

  4. physics

    a light string 4 meters long is wrapped around a solid cylindrical spool with a radius of 0.075 m and a mass of .5 kg.a 5kg mass is then attached to the end of the string, causing the string to unwind from the spool. a. what is

  1. Physics

    A guitar string vibrates at 400 Hz and has a length of 0.8 m. Find the new frequency if a. the string is lengthened to 0.9 m. b. the string is replaced with another string, the density of which is greater by a factor of two. c.

  2. physics(HELP)

    An unfingered guitar string is 0.73m long and is tuned to play E above middle C (330 Hz.) (a) How far from the end of this string must a fret (and your finger) be placed to play A above middle C (440 Hz)? (b) What is the

  3. Physics

    The portion of string between the bridge and upper end of the fingerboard (the part of the string that is free to vibrate) of a certain musical instrument is 60.0 cm long [.6m] and has a mass of 2.23 g [.00223kg]. The string

  4. science

    a guitar string is 75cm long,calculate the wavelength of its fundamental note

  1. Algebra

    The ratio of the lengths of strings that play the guitar notes D and B is 27 to 16. If a string 64 cm long plays a B, what is the length of the string that plays a D?

  2. algebra

    The ratio of the lengths of strings that play the notes D and B (on a guitar), is 27 to 16. If a string 64 cm long plays B, what is the length of the string that plays a D?

  3. Physics

    A guitar string of length 30 cm and stretched under a tension of 78 N has a certain fundamental frequency. How long would a pipe, open at both ends, need to be to play the same fundamental frequency? A 15-cm long piece of the

  4. physics

    The speed of a wave in a string is given by v = sqrt (FT/m), where FT is the tension in the string and m = mass / length of the string. A 2.00 m long string has a mass of 28.50 g. A 1024 g mass is attached to the string and hung

You can view more similar questions or ask a new question.