Sound Power Intensity: Double Distance Effects

  • Thread starter Thread starter matt_li
  • Start date Start date
  • Tags Tags
    Power Sound
Click For Summary
SUMMARY

When the distance from a sound power source is doubled, the intensity of the sound measured in watts per square meter decreases by a factor of four, following the inverse square law. Mathematically, if the initial intensity is I, the new intensity at double the distance becomes I/4. In decibels, this corresponds to a decrease of 6 dB, calculated using the formula 10 log10(I2/I1), where I2 is the intensity at the new distance and I1 is the initial intensity.

PREREQUISITES
  • Understanding of the inverse square law in physics
  • Basic knowledge of sound intensity measurement
  • Familiarity with decibel calculations
  • Mathematical skills for logarithmic functions
NEXT STEPS
  • Study the inverse square law in detail
  • Learn about sound intensity and its measurement units
  • Explore decibel calculations and their applications
  • Investigate real-world examples of sound propagation
USEFUL FOR

Physics students, acoustics engineers, and anyone interested in sound measurement and its properties.

matt_li
Messages
2
Reaction score
0

Homework Statement


Consider a source of sound power that radiates equally in all directions. By doubling your distance from this source, explain what happens to the intensity of the sound when measured (a) in watts per square meter and (b) in decibels. Suppor you answer mathematically
 
Physics news on Phys.org
Welcome to PF!

Hi matt_li! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
887
  • · Replies 5 ·
Replies
5
Views
2K
Replies
18
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
3K