Calculate the Wavelength of Middle C on a Piano | 512 Hz Frequency

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SUMMARY

The wavelength of the note "C" above middle C, which has a frequency of 512 Hz, can be calculated using the formula λ = v/f, where λ is the wavelength, v is the speed of sound in air (approximately 343 meters per second at room temperature), and f is the frequency. By substituting the values, the wavelength is determined to be approximately 0.670 meters. This calculation is essential for understanding sound wave properties in acoustics.

PREREQUISITES
  • Understanding of wave properties, specifically wavelength and frequency.
  • Familiarity with the formula λ = v/f for calculating wavelength.
  • Knowledge of the speed of sound in air, typically around 343 m/s.
  • Basic concepts of sound waves and their behavior in different mediums.
NEXT STEPS
  • Research the speed of sound in various mediums, such as water and steel.
  • Learn about the relationship between frequency and pitch in musical acoustics.
  • Explore the effects of temperature and pressure on the speed of sound.
  • Investigate sound wave interference and its applications in music theory.
USEFUL FOR

Musicians, acoustics students, sound engineers, and anyone interested in the physics of sound and music theory.

aricho
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Hi,
i'm stuck with this question, I'm prob missing something easy.

the "c" above middle c on the piano has a frequency of 512 Hz. calculate the wavelength.

Thanks for your help
 
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All you're given is the wavelength of a wave in air. So, even though you may have forgotten, there should be some relation between the wavelength and the frequency of a wave.
Is any relation between f and \lambda coming to mind?
 
Here's another hint: you'll probably need to look up the speed of sound somewhere in your textbook, if the exercise doesn't give it to you already.
 

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