Waves, Sound and Light: Sound and Music

Sound and Music: Audio Guided Solutions

Problem 29:

The fundamental frequency of an open-end organ pipe is 392 Hz. The third harmonic of a closed-end organ pipe has the same frequency. The speed of sound in air is 346 m/s.
a. Determine the length of the open-end pipe.
b. Determine the length of the closed-end pipe.

Audio Guided Solution

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Habits of an Effective Problem Solver

  • Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
  • Identify the known and unknown quantities and record in an organized manner, often times they can be recorded on the diagram itself. Equate given values to the symbols used to represent the corresponding quantity (e.g., v = 345 m/s, λ = 1.28 m, f = ???).
  • Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
  • Identify the appropriate formula(s) to use.
  • Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.

Read About It!

Get more information on the topic of Sound and Music at The Physics Classroom Tutorial.

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