physical

You are playing a note that has a fundamental frequency of 440.00 Hz on a guitar string of length 59.1 cm. At the same time, your friend plays a fundamental note on an open organ pipe, and 4.0 beats per seconds are heard. The mass per unit length of the string is 1.93 g/m. Assume the velocity of sound is 343 m/s.

a) When the guitar string is tightened, the beat frequency decreases. Find the original tension in the string.

b)What is the length of the organ pipe?

  1. 👍 0
  2. 👎 0
  3. 👁 259
  1. a. well, beats are result of either a freq of 440+-4, but it is low, so f=436hz

    you know half wavelength = 59.1cm
    you know mass per length. You do not know wave velocity on the string.

    Use http://hyperphysics.phy-astr.gsu.edu/hbase/waves/string.html
    solve for wave velocity first:
    wavevelocity=2*length*frequency

    b. Pipe organ, open pipe, lambda=2*length

    you know frequency 440hz, solve for wavlength, lambda=speedsoundinAir/freq

    now knowing wavelength, solve for length (lambda/2)

    1. 👍 0
    2. 👎 0
    👨‍🏫
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. Physics

    Piano tuners tune pianos by listening to the beats between the harmonics of two different strings. When properly tuned, the note A should have the frequency 440 Hz} and the note E should be at 659 Hz}. The tuner can determine this

  3. 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? (b) What is the fundamental wavelength for this string? (c) What is the fundamental frequency for

  4. 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

  1. Physics

    "You will measure the tension T, the mass m, and the length L of your spring. In terms of these variables, what is the expected frequency of the fundamental standing wave?" I found the fundamental frequency to be: f = 1/2L *

  2. english

    Holly's dad restores her desire to learn how to play guitar, even though he does not know anything about playing guitar. What type of irony, if any, does this demonstrate? A. verbal irony B. situational irony C. dramatic irony D.

  3. 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

  4. Sound and music

    If the fundamental frequency for a 60-cm long guitar string is 500 Hz, what is the speed of the traveling waves?

  1. 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

  2. english

    Holly's dad restores her desire to learn how to play guitar, even though he does not know anything about playing guitar. What type of irony, if any, does this demonstrate?

  3. science

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

  4. Physics: Sound Waves

    Two organ pipes, open at one end but closed at the other, are each. 1.14 m long. One is now lengthened by 2.00 cm. Find the frequency of the beat they produce when playing together in their fundamental.

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