A tuning fork of frequency 558 Hz is placed near the top of the pipe shown in the Figure. The water level is lowered so that the length L slowly increases from an initial value of 20.0 cm. Determine the next two values of L that correspond to resonant modes. (Assume that the speed of sound in air is 343 m/s.)
I found the wavelenght:
0.2m x 4 = 0.8m. Then used the wavelength to calculate the other lengths: L3 = [3(.8)/4] x (343/558). This was incorrect. What am I doing wrong?

The wavelength of the sound is
(sound speed)/(frequency)

Resonances of an open pipe occur when the pipe length is an odd number of quarter wavelengths.

  1. 👍
  2. 👎
  3. 👁
  1. l=lambda/4

    1. 👍
    2. 👎
  2. 456

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    The speed of sound in a classroom is 343m/s. A) A tuning fork of frequency 512Hz is struck. What length of open air tube is required to create a resonant sound at the 1st harmonic? wavelength=v/f=343/512=0.67m


    A tuning fork is set into vibration above a vertical open tube filled with water. The water level is allowed to drop slowly. As it does so, the air in the tube above the water level is heard to resonate with the tuning fork when

  3. science

    1. A violin string is oscillating at a frequency of 880 Hz (1 Hz = 1 full cycle / second) in its 2nd harmonic. What wold be the frequency of the fundamental vibrational mode? 2. Describe how you would go about finding the

  4. physics

    consider the following: A point on the tip of a tuning fork vibrates in harmonic motion described by the equation d=10sin(ωt). 1. ω for a tuning fork that has a frequency of 535 vibrations per second. (I don't understand this

  1. physics

    When a tuning fork is held over the open end of a very thin tube, as in the figure below, the smallest value of L that produces resonance is found to be 33.0 cm. (a) What is the wavelength of the sound? [Hint: Assume that the

  2. Physics

    A pipe that is closed at one end can be made to resonate by a tuning fork at a length of 0. 25 m. The next resonant length is 0. 75 m. Speed of sound is 338 m/s. (a) Calculate the wavelength of the sound emitted by the tuning

  3. physics

    An open vertical tube is filled with water and a tuning fork vibrates over the top near the open end. As the water level is lowered in the tube, the first resonance is heard when the water level is at 31 cm from the top of the

  4. Physics

    A tuning fork is used to tune a piano key. The tuning fork has a set frequency of 455 Hz. The beat frequency is measured at 21 Hz. What are the two possible frequencies the piano key could be to create that beat frequency? 501 Hz

  1. Physics

    Need help ASAP for this one, really hard. to Assignment 11Problem 13.26 Tuning Forks in Neurology Tuning forks are used in the diagnosis of nervous afflictions known as large-fiber polyneuropathies, which are often manifested in

  2. Physics

    When a tuning fork of unknown frequency is sounded simultaneously with a 512 Hz tuning fork, 20 beats are heard in 4.0 seconds. What are the possible frequencies of the unknown tuning fork?

  3. physics. HELP PLEASE

    One method for measuring the speed of sound uses standing waves. A cylindrical tube is open at both ends, and one end admits sound from a tuning fork. A movable plunger is inserted into the other end at a distance L from the end

  4. Physics

    A two end open pipe organ's sixth harmonic is produced by a tuning fork with a frequency of 440 Hz. If it is 17 degrees Celsius, what is the length of the tube? v=332+0.6(17) 440=16v/2L L = 6.22 meters Is that right?

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