Question

What is the intensity of sound waves produced by a piano at a distance of 2.1 m when the power output of the piano is 2.5 W?

Answer 1

The intensity of sound waves produced by this piano is 0.567 $W/m^2$

Given the following data:

• Distance = 2.1 meters

• Power output = 2.5 Watts

To find the intensity of sound waves produced by this piano:

Mathematically, the intensity of sound waves produced by an object is given by the formula;

$I = \frac{P_O}{D^2}$

Where:

• I is the intensity of a sound wave.

• Po is the power output.

• D is the distance.

Substituting the given parameters into the formula, we have;

$I = \frac{2.5}{2.1^2}\\\\I = \frac{2.5}{4.41}$

Intensity of sound waves, I = 0.567 $W/m^2$

Therefore, the intensity of sound waves produced by this piano is 0.567 $W/m^2$

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