Is the Calculated Speed and Wavelength of a Sound Wave Accurate?

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SUMMARY

The calculated speed of the sound wave produced by a smoke alarm 35.0 meters away is determined to be 339.81 m/s, based on the formula S = distance/time, where the time is 0.103 seconds. The frequency of the sound wave is 1.02 × 103 Hz, leading to a calculated wavelength of 0.33 meters. This analysis confirms that the speed of sound is not always 341 m/s, as it can vary based on specific conditions such as distance and time.

PREREQUISITES
  • Understanding of basic physics concepts related to sound waves
  • Familiarity with the speed, frequency, and wavelength relationship
  • Knowledge of the formula for calculating speed (S = distance/time)
  • Basic mathematical skills for performing calculations
NEXT STEPS
  • Research the factors affecting the speed of sound in different mediums
  • Learn about the relationship between frequency, wavelength, and period in sound waves
  • Explore the impact of temperature and pressure on sound wave propagation
  • Study advanced sound wave applications in acoustics and engineering
USEFUL FOR

Physics students, educators, and anyone interested in understanding sound wave properties and calculations.

Brittykitty
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A sound wave produced by a smoke alarm 35.0 m away is heard 0.103 s after having been started by smoke in the air. The frequency of this sound wave is 1.02  103 Hz. Complete the following.

a.Find the speed of this sound wave in air.

b. Find its wavelength and period.


The sound wave in the air, is it always going to be 341m/s if not stated because that's the average?
 
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You are asked to find the speed of sound, you are given a distance and a time - so it shouldn't be too tricky
 
a. Find the speed of this sound wave in air.
S=35.0m/0.103s
S=339.81m/s

b. Find its wavelength and period.

Wavelength=339.81m/s ÷ 1.02x103
Wavelength=0.33m


Hello thank you :)
Does this look right to you?
 

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