Intensity of sound wave and energy

Click For Summary
A sound wave with an intensity of 2x10^(-3) W/m^2 is considered modestly loud, and the energy transferred to a 6.0 mm diameter eardrum over one minute was calculated. The power was determined using the formula P=IA, resulting in 2.2610x10^-7 W. However, the final energy calculation of 1.3572x10^-5 J was questioned for accuracy. A suggestion was made to recheck the area calculation to ensure the correct answer. Accurate calculations are crucial for understanding sound wave energy transfer.
Pambos
Messages
1
Reaction score
0

Homework Statement



A sound wave with intensity 2x10^(-3) W/m^2 is perceived to be modestly loud. Your eardrum is 6.0 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1.0 min?

Homework Equations


P=IA=(intensity)(area)
=2x10^(-3) * (pi (6x10^-3)^2)
=2.2610x10^-7 W

The Attempt at a Solution


P=IA=(intensity)(area)
=2x10^(-3) * (pi (6x10^-3)^2)
=2.2610x10^-7 W

P=delta E/ delta t
=2.2610x10^-7 J/s * 60 s
=1.3572x10^-5 J

..its not the correct answer can anyone help?
 
Physics news on Phys.org
Hi Pambos, Welcome to Physics Forums!

Check your area calculation.
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Sound wave and energy can you help me?
  • · Replies 2 ·
Replies
2
Views
23K
Max velocity of a vibrating loud speaker membrane given sound intensity
  • · Replies 4 ·
Replies
4
Views
2K
Calculating τ by knowing I is proportional to A^2
  • · Replies 8 ·
Replies
8
Views
2K
Audio interference of sound waves from two speakers
  • · Replies 19 ·
Replies
19
Views
4K
Ratio of Intensities of 2 sounds
  • · Replies 5 ·
Replies
5
Views
2K
Problem on Doppler effect and sound level
  • · Replies 1 ·
Replies
1
Views
2K
Sound Wave Interference Problem
  • · Replies 5 ·
Replies
5
Views
2K
Loudspeaker Question (Sound and Intensity)
  • · Replies 1 ·
Replies
1
Views
3K
Calculating Intensities of Out-of-Phase Sound Waves
  • · Replies 1 ·
Replies
1
Views
2K
Sound intensity of a thunderbolt
  • · Replies 1 ·
Replies
1
Views
1K