How to Calculate Sound Intensity Using Inverse Square Law

TL;DR

To calculate sound intensity, use the formula intensity = power / (4 * π * r²), where r is the distance from the source. For energy absorbed by the eardrum per minute, multiply the intensity by the area and time. The inverse square law shows that sound intensity decreases as the distance from the source increases.

Transcript

in this tutorial we're going to focus on solving physics problems associated with sound intensity so let's start with this one what is the intensity of sound 4 meters away from a 500 watt speaker so let's say this is the speaker and emit sound what intensity of sound does this person hear if he's four meters away from the speaker intensity is defin... Read More

Key Insights

• 👂 Sound intensity is determined by the power of the sound and the area it covers.
• 👂 The formula for calculating sound intensity involves using the surface area of a sphere, not just a circle.
• ⌛ Energy absorbed by the eardrum can be calculated using the intensity, area, and time.
• ❎ The inverse square law states that sound intensity decreases by a factor of the square of the distance.

Questions & Answers

Q: How is sound intensity calculated?

Sound intensity is calculated by dividing the power of the sound by the surface area it covers using the formula: intensity = power / (4 * pi * r^2).

Q: How can you calculate the energy absorbed by the eardrum?

To calculate the energy absorbed by the eardrum, multiply the intensity, area of the eardrum, and time in seconds. Make sure to convert units if necessary.

Q: What is the relationship between distance and sound intensity?

The inverse square law states that sound intensity is inversely related to the square of the distance. If the distance is doubled, the intensity is reduced to one-fourth of its value.

Q: How can the intensity at different distances be calculated using the formula?

To calculate the intensity at different distances, use the formula: i2/i1 = (r1^2)/(r2^2), where i1 and r1 are the initial intensity and distance, and i2 and r2 are the new intensity and distance.

Summary & Key Takeaways

• Sound intensity is determined by the power of the sound divided by the area it covers.

• The intensity at a certain distance can be calculated using the formula: intensity = power / (4 * pi * r^2).

• Energy absorbed by the eardrum per minute can be calculated by multiplying the intensity, area, and time.