Find the intensity of a sound - Wave problem

Click For Summary
SUMMARY

The discussion centers on calculating the intensity of sound from a point source, given an initial intensity of 1.0 x 10-5 W/m2 at a distance of 1.0 m and an amplitude of oscillation of 70 mm. The relationship between intensity, amplitude, and distance is established through the equations: intensity is proportional to the square of the amplitude and inversely proportional to the square of the radius. Participants express confusion regarding the mathematical approach and the completeness of the problem statement, indicating a need for clarification on the question's requirements.

PREREQUISITES
  • Understanding of sound intensity and amplitude relationships
  • Familiarity with the inverse square law in physics
  • Basic knowledge of wave mechanics
  • Ability to manipulate proportional relationships mathematically
NEXT STEPS
  • Study the derivation of sound intensity formulas in wave mechanics
  • Learn about the inverse square law and its applications in physics
  • Explore the relationship between amplitude and intensity in sound waves
  • Review examples of sound intensity calculations in real-world scenarios
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and sound, as well as educators seeking to clarify concepts related to sound intensity and amplitude.

Gunman
Messages
25
Reaction score
0

Homework Statement


A small source of sound radiates energy equally in all directions. At a particular frequency, the
intensity of the sound 1.0 m from the source is 1.0 x 10-5m Wm-2, corresponding to an amplitude of oscillation of air molecules of 70milimetre. (Assume no energy loss)
Find (i) the intensity of the sound


Homework Equations


Energy is proportional to the square of the amplitude by a point
Intensity is proportional to the inverse of the square of the radius
Intensity is proportional to the square of the amplitude

The Attempt at a Solution


(A)^2 proportional to (1/(r^2))
A proportional to (1/r)
And since the amplitude is 70 * 10^-3
I tried using this way to solve the above question. But I have doubts as hm..mathematically its wrong somewhere. Is there another way to do this question?
 
Physics news on Phys.org
I don't understand the question. You are given the intensity at one distance, but what are you being asked to find? (You may have left out part of the question.)
 

Similar threads

Replies
16
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
8K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K