Calculating Echo Time: 245 Hz Sound Frequency in a 1.41 m Wavelength Canyon

In summary, the conversation discusses finding the time it takes for an echo to be heard when a sound wave with a frequency of 245 Hz and a wavelength of 1.41 m is projected into a 1.50 km long canyon. The solution involves calculating the speed of the wave and using the formula t=d/s to determine the time taken, which is found to be 4.35 seconds.
  • #1
Brittykitty
81
0
A 245 Hz sound with a wavelength of 1.41 m is projected into a narrow canyon. If the canyon is 1.50 km long, what time does it take an echo to be heard?

How would I solve for this question? :)
 
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  • #2
Given the frequency and wavelength, what is the speed of your wave?
 
  • #3
245[hz] * 1.41[m] = 345 m/s? :)
 
  • #4
Brittykitty said:
245[hz] * 1.41[m] = 345 m/s? :)

Right, so the wave must travel 1.5 km while traveling at 345 m/s, how would you find the time taken given the distance traveled and the speed?
 
  • #5
t=d/s
t=1.5km/ 345ms?
t=4.35s?
 
  • #6
Yes that should be it.
 
  • #7
Thank you SO much! :D
 

1. How do you calculate the echo time for a given sound frequency and wavelength?

The formula for calculating echo time is: Echo Time = (Wavelength x 2) / Speed of Sound. In this case, the given frequency of 245 Hz and wavelength of 1.41 m would result in an echo time of 0.0115 seconds.

2. What is the speed of sound in a canyon?

The speed of sound in air varies depending on temperature, humidity, and other factors. On average, the speed of sound in air is approximately 343 meters per second. However, in a canyon where there are reflected sound waves, the effective speed of sound may be slightly different.

3. How does the frequency of sound affect the echo time?

The higher the frequency of sound, the shorter the echo time will be. This is because higher frequency sound waves have shorter wavelengths, meaning they will travel a shorter distance before being reflected back to the source.

4. What factors can affect the accuracy of calculating echo time?

The accuracy of calculating echo time can be affected by the accuracy of the measurement of the sound frequency and wavelength. Additionally, factors such as wind, temperature, and humidity can affect the speed of sound in the canyon, and therefore, affect the calculated echo time.

5. Can this formula be applied to other environments besides canyons?

Yes, this formula can be applied to any environment where there are reflected sound waves, such as large rooms, valleys, or mountains. However, the speed of sound may vary in different environments, so it is important to use the appropriate value for the speed of sound in the specific environment being studied.

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