A point source of a wave emits 195 watts.
What is the intensity at a distance of 4.56 meters?
I =
To determine the intensity at a certain distance from a point source of a wave, you can use the inverse square law. According to this law, the intensity (I) of a wave is inversely proportional to the square of the distance (r) from the source.
The formula to calculate the intensity is:
I = P / (4πr^2)
Where:
I = Intensity
P = Power (in watts)
r = Distance from the source (in meters)
Given that the point source emits 195 watts and the distance is 4.56 meters, we can substitute these values into the formula:
I = 195 / (4π * 4.56^2)
I ≈ 195 / (4 * 3.14 * 20.7936)
I ≈ 1.53 watts per square meter (W/m^2)
Therefore, the intensity at a distance of 4.56 meters from the point source is approximately 1.53 W/m^2.