Waves, Sound and Light: Sound and Music
Sound and Music: Audio Guided Solution
Problem 24:
An organ pipe which acts as a closed-end resonator has a length of 83 cm. Sound waves travel at 350 m/s through the air column of the pipe.
a. Determine the fundamental frequency of the organ pipe.
b. Determine the frequency of the next two harmonics of this closed-end organ pipe.
a. Determine the fundamental frequency of the organ pipe.
b. Determine the frequency of the next two harmonics of this closed-end organ pipe.
Audio Guided Solution
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a. 110 Hz (rounded from 105.4 Hz)
b. 320 Hz (rounded from 316 Hz) and 530 Hz (rounded from 527 Hz)
b. 320 Hz (rounded from 316 Hz) and 530 Hz (rounded from 527 Hz)
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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