When you double your distance from a sound source

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SUMMARY

The discussion centers on calculating the distance to a cliff based on the time taken for an echo to return. The correct distance is determined using the formula d = t * s, where t is the time (4 seconds) and s is the speed of sound (331 m/s). The participant initially calculated a distance of 1324 meters, but the correct answer is 662 meters, as this represents the one-way distance. Additionally, sound intensity decreases inversely with the square of the distance, confirming that doubling the distance results in a sound intensity reduction to one-fourth its original value.

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  • Understanding of basic physics concepts such as sound propagation
  • Familiarity with the speed of sound in air at 0 degrees Celsius (331 m/s)
  • Knowledge of the formula for calculating distance (d = t * s)
  • Concept of sound intensity and its relationship with distance
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  • Review the principles of sound propagation and echo calculation
  • Study the effects of temperature on the speed of sound
  • Learn about the inverse square law as it applies to sound intensity
  • Explore practical applications of sound intensity in acoustics
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Students studying physics, educators teaching sound concepts, and anyone interested in understanding the principles of sound propagation and intensity.

Dx
This can't be right.

I missed this test question here.

You shout at a cliff and hear the echo in 4s. the temp is 0 degrees C. How far away is the cliff?

I think the answers were a)662 b) 680 c) 1320 d)1760

I chose c because

t=d/s or d=t*s

now, i substitued d = 4s * 331m/s = 1324

why did i miss this? I am pretty sure the formula and math is
right?


also one more question



when you double your distance from a sound source radiating in all directoins. what happens to the intensity of the sound? is reduces to 1/2 its orginal value.

Thats what i said unless its 1/4. what is the right answer.

Dx :wink:
 
Last edited by a moderator:
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a)
You computed:
d = 4s * 331m/s = 1324

That was exactly correct -- for the distance from you to the cliff and back. D is twice the distance from you to the cliff. So, the correct answer is a)662 m.

b)
Sound intensity varies inversely with the square of the distance, so the correct answer to the second question was 1/4.
 
thanks gnome!
 

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