physics

A tube is open only at one end. A certain harmonic produced by the tube has a frequency of 445.0 Hz. The next higher harmonic has a frequency of 525.9 Hz. The speed of sound in air is 343 m/s.
(a) What is the integer n that describes the harmonic whose frequency is 445.0 Hz?

(b) What is the length of the tube?
m


(a) The ratio of frequencies is the ratio of harmonic dumbers. In your case it is 525.9/445.0 = 1.1818, which is very nearly 13/11. Therefore 13 and 11 are the two "n" numbers involved. Tubes open at one end only have only odd numbered hamonics. The number "n" corresponds to the number of quarter-waves in the pipe.

(b) If a note corresponds to a n'th harmonic, the length of the pipe is n quarter waves. Get the wavelength from the sound speed and frequency.
wavelength = (sound speed)/frequency

  1. 👍 0
  2. 👎 0
  3. 👁 369
asked by Cavin
  1. .7707865169

    1. 👍 0
    2. 👎 1
    posted by sally

Respond to this Question

First Name

Your Response

Similar Questions

  1. PHYSICS

    A tube is open only at one end. A certain harmonic produced by the tube has a frequency of 500 Hz. The next higher harmonic has a frequency of 611 Hz. The speed of sound in air is 343 m/s. (a) What is the integer n that describes

    asked by Anonymous on April 28, 2015
  2. physics

    A U-shaped tube contains a fluid of density 1.5x10^3 kg/m^3. the right side of the tube is closed, with vacuum above the fluid. The left side of the tube is open to the atmosphere. Assume the atmospheric pressure outside the tube

    asked by Casey on December 9, 2012
  3. Physics

    A cardboard tube of length 35.0cm fits snugly into a second cardboard tube of equal length.The outer tube is capped at one end. The overall length can be varied by moving the inner tube relative to the outer tube. The column of

    asked by Markus on September 21, 2019
  4. Physics

    The water level in a vertical glass tube 1.40 m long can be adjusted to any position in the tube. A tuning fork vibrating at 440 Hz is held just over the open top end of the tube, to set up a standing wave of sound in the

    asked by Emma on May 25, 2011
  5. Physics

    A pan flute is based on standing wave resonance in a tube that is open where the musician blows and closed at the bottom end with bee’s wax. (a) Describe the standing wave pattern of air displacement in such a tube when a tone

    asked by Jamie on December 3, 2016
  6. physics

    A uniform vertical glass tube open at the lower end and sealed at the lower end is lowered into sea water thus trappung the air int he tube . It is observed that when the tube is submerged to a depth 10 meters the sea water has

    asked by emily on October 27, 2016
  7. 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?

    asked by Robert on February 3, 2009
  8. Math

    A cylindrical tube is open at both ends.the internal diameter tube 10.4cm and its length is 25cm. If the thickness of the tube 8mm everywhere,find the total surface of area of the tube.

    asked by Simon on February 5, 2013
  9. Physics

    The cross-sectional area of the U-tube shown below is uniform and is equal to one square centimeter (1.00cm^2). One end is open to the atmosphere. Atmosphere pressure may be taken as P1=1.01 * 10^5 Pa. The other end of the U-tube

    asked by Zuen-Lee on August 14, 2011
  10. PHYSICS

    The cross-sectional area of the U-tube shown below is uniform and is equal to one square centimeter (1.00cm^2). One end is open to the atmosphere. Atmosphere pressure may be taken as P1=1.01 * 10^5 Pa. The other end of the U-tube

    asked by Zuen-Lee on August 14, 2011

More Similar Questions