Need help to find intensity of waves.

  • Thread starter Thread starter aldam3a
  • Start date Start date
  • Tags Tags
    Intensity Waves
Click For Summary
SUMMARY

The discussion focuses on calculating the intensity of waves emitted from a vibrating source, specifically at distances of 2.50 m and 10.0 m. The intensity is derived using the formula I = P / A, where P is the power (4.20 J/s) and A is the area receiving the energy (3.25 cm²). The initial attempt at calculating intensity was incorrect due to the misapplication of the surface area of a sphere instead of the given area. The correct intensity should be expressed in watts per square meter (W/m²), necessitating unit conversion.

PREREQUISITES
  • Understanding of wave intensity and power calculations
  • Familiarity with the formula I = P / A
  • Knowledge of unit conversion, specifically from cm² to m²
  • Basic principles of spherical geometry
NEXT STEPS
  • Learn about wave intensity calculations in different mediums
  • Study unit conversion techniques, particularly for area measurements
  • Explore the concept of energy conservation in wave propagation
  • Investigate the relationship between power and intensity in wave mechanics
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators and tutors assisting with homework related to wave intensity calculations.

aldam3a
Messages
1
Reaction score
0

Homework Statement



A tiny vibrating source sends waves uniformly in all directions. An area of 3.25 cm2 on a
sphere of radius 2.50 m centered on the source receives energy at a rate of 4.20 J/s.

(a) What is the intensity of the waves at 2.50 m from the source and at 10.0 m from the
source?

(b) At what rate is energy leaving the vibrating source of the waves?



2. The attempt at a solution

I attemped the first part of the question using this equation :

I = P / A
A = 4 Pi r^2

so I = 4.2 / 4 * Pi * (2.5)^2 = 0.053

I asked my supervisor and he told me that my answer is wrong.

Any one who knows how i can go through this question ?
Thanks in advance
 
Physics news on Phys.org
The power of 4.2J/s is passing through an area of 3.25cm2...not the surface area of the sphere.
I think you should also give intensity as W/m^2 so you will need to convert units to do that.
 

Similar threads

Replies
16
Views
7K
Replies
4
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
13
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K