Sound Power Emitted Calculator

What is Sound Power Emitted?

Sound power emitted is the total amount of acoustic energy radiated by a sound source per unit of time. It is a fundamental characteristic of sound sources and is measured in watts (W). Unlike sound intensity, which varies with distance from the source, sound power is a constant property of the source itself.

Formula

The formula for sound power emitted is:

\[ P = I \times A \]

Where:

• \( P \) is the sound power emitted (in watts, W)
• \( I \) is the sound intensity (in watts per square meter, W/m²)
• \( A \) is the surface area (in square meters, m²)

Calculation Steps

Let's calculate the sound power emitted for a given scenario:

1. Given:
   • Sound Intensity (\( I \)) = 0.5 W/m²
   • Surface Area (\( A \)) = 10 m²
2. Apply the sound power formula: \[ P = I \times A \]
3. Substitute the known values: \[ P = 0.5 \text{ W/m²} \times 10 \text{ m²} \]
4. Perform the final calculation: \[ P = 5 \text{ W} \]

Example and Visual Representation

Let's visualize the concept of sound power emitted:

This diagram illustrates:

• The sound source (yellow circle) emitting sound power (\( P \))
• The sound intensity (\( I \)) represented by the green arrow
• The surface area (\( A \)) through which the sound passes (blue circles)
• The decreasing intensity as the sound spreads over a larger area (fading blue circles)