Need help w/ problem: Sound intensity and energy

Click For Summary
SUMMARY

The discussion centers on calculating the energy transferred to a fan's eardrums at a rock concert, given a sound intensity level of 110 dB at the stage's edge. The fan is located 30 meters from the stage, and the eardrum diameter is 8.4 cm. Using the inverse square law and the formula for sound intensity (I = P/4πr²), participants are guided to determine the intensity at the fan's location and subsequently calculate the energy in Joules transferred to each eardrum in one second.

PREREQUISITES
  • Understanding of sound intensity and decibel levels
  • Familiarity with the inverse square law
  • Knowledge of the formula I = P/4πr²
  • Basic skills in unit conversion and area calculation
NEXT STEPS
  • Learn about the inverse square law in acoustics
  • Study sound intensity calculations using decibels
  • Explore energy transfer calculations in physics
  • Review area calculations for circular surfaces
USEFUL FOR

Students studying physics, acoustics enthusiasts, and anyone interested in sound energy calculations and their applications in real-world scenarios.

ryoon4690
Messages
1
Reaction score
0

Homework Statement


A fan at a rock concert is 30 from the edge of the stage. The sound intensity level at the edge of the stage is 110 dB. The fan's eardrums have a diameter of 8.4 . How much energy is transferred to each eardrum in one second? (Hint: It may help to asume that the speaker is on the stage located 1.0 m from the edge.) Answer should be expressed in Joules.

Homework Equations


I=P/4πr^2, β=(10dB)log(I/Iinitial)

The Attempt at a Solution


?

Thanks for your help!
 
Physics news on Phys.org
Why did you leave the distance units out when telling us the distance from the stage and the diameter of the eardrums?

Anyhow, at 1 m from the speaker, sound intensity is 110 dB. What's the intensity 31 m away? (Hint: inverse square law.) Express that in watts per unit area, then multiply that by the eardrum's area, and you'll get the answer.
 

Similar threads

Intensity of sound wave and energy
  • · Replies 1 ·
Replies
1
Views
2K
Calculating Sound Intensity and Pressure Variation at a Distance
  • · Replies 4 ·
Replies
4
Views
2K
Calculating τ by knowing I is proportional to A^2
  • · Replies 8 ·
Replies
8
Views
3K
Calculating Sound Energy & Intensity: A Scientist's Approach
  • · Replies 1 ·
Replies
1
Views
12K
What is the intensity of sound 2?
  • · Replies 1 ·
Replies
1
Views
6K
Help calculating decibel level from intensity of sound
  • · Replies 4 ·
Replies
4
Views
7K
Calculate the Sound intensity level
  • · Replies 3 ·
Replies
3
Views
5K
Sound intensity/Ear drum problem
  • · Replies 3 ·
Replies
3
Views
5K
What Is the Sound Intensity Ratio Between a Rock Concert and a Jazz Fest?
  • · Replies 3 ·
Replies
3
Views
20K
Sound Intensity- just need someone to check my work
  • · Replies 3 ·
Replies
3
Views
4K