High School What is the True Frequency of Sound When Striking Wood at Different Rates?

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SUMMARY

The discussion focuses on the frequency of sound produced when striking wood with a mallet at different rates. When a piece of wood is struck, it generates a natural frequency, such as 500Hz, while applying a mechanical force at a higher frequency, like 10,000Hz, results in forced vibrations. The key distinction is between the natural frequency of the wood and the frequency of the applied force, which can lead to different tonal qualities. Additionally, the conversation highlights that all sound reproduction systems, including speakers, operate under forced motion rather than resonant motion.

PREREQUISITES
  • Understanding of sound wave properties, including frequency and amplitude
  • Knowledge of mechanical vibrations and their effects on sound production
  • Familiarity with resonant circuits, particularly LC circuits
  • Basic principles of sound reproduction in speakers and audio systems
NEXT STEPS
  • Explore the principles of mechanical vibrations in acoustics
  • Study the effects of different materials on sound frequency and tone
  • Learn about forced versus resonant motion in sound reproduction systems
  • Investigate the role of non-linear devices, such as diodes, in audio circuits
USEFUL FOR

Acoustic engineers, audio technicians, and anyone interested in the physics of sound production and reproduction will benefit from this discussion.

houlahound
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explain the question by example;

I hit a piece of wood with a mallet and record a pulse ie;

upload_2016-4-13_10-59-9.png


zooming in I get a specific frequency;

upload_2016-4-13_10-59-49.png


pretend it is a sine wave of frequency 500HzI then beat the wood with a frequency of 10 000Hz (pretend this is a 10 000HZ sine wave beating;

upload_2016-4-13_11-1-45.png
so what is the frequency of the sound 10 000Hz?

all sounds must be produced this way ie something being mechanically struck eg speaker cone moving under varying magnetic field but you also have the "internal" sound of the structure being mechanically struck eg speaker paper, proof; replace the paper speaker cone with a plastic one and use the same source frequency you get a different tone but same frequency.

so which frequency are we quoting?
 
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houlahound said:
explain the question by example;

I hit a piece of wood with a mallet and record a pulse ie;

View attachment 98996

zooming in I get a specific frequency;

View attachment 98997

pretend it is a sine wave of frequency 500HzI then beat the wood with a frequency of 10 000Hz (pretend this is a 10 000HZ sine wave beating;

View attachment 98999so what is the frequency of the sound 10 000Hz?

all sounds must be produced this way ie something being mechanically struck eg speaker cone moving under varying magnetic field but you also have the "internal" sound of the structure being mechanically struck eg speaker paper, proof; replace the paper speaker cone with a plastic one and use the same source frequency you get a different tone but same frequency.

so which frequency are we quoting?
With electrical resonant circuits we do not see this action. If I drive A 500 Hz resonant LC circuit with 10,000 Hz I do not see 500 Hz. Even if I place a non linear device like a diode in the circuit I do not see 500 Hz. The 500Hz you are seeing must be excited by a component of the exciting source at 500 Hz, such as noise or the impulse of swiching on.
 
There is a difference between hitting the wood once generating what you call pulse and hitting it repeatedly by a mechanical vibrator of 10,000 Hz frequency.
In the first case the natural frequency of the wood surface is produced which is damped with time that is why you have pulse. In the other case the wooden surface is forced to vibrate with the applied frequency. all speakers and all which reproduce sound are in forced motion. They cannot be and should not be in resonant motion with applied periodic forec also of the same frequency then the system will break down. normal sounds are a mixed bag of frequencies in the range of 20 Hz to 20k Hz.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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