Math Problem Statement
You have measured an acoustic power of 9.0 x 10^(-5) W using a device with a sensor that has a surface area of 5.0 x 10^(-5) m^2. What is the sound intensity level of this sound? * 4 points 0.18 W/m^2 1.8 W/m^2 18 W/m^2
Solution
The sound intensity level (also known as sound intensity) can be calculated using the formula for intensity:
where:
- is the intensity in watts per square meter (W/m²),
- is the acoustic power in watts (W),
- is the surface area in square meters (m²).
Given:
- W,
- m².
Plugging in the values:
Thus, the sound intensity level is 1.8 W/m².
Correct answer:
1.8 W/m²
Let me know if you'd like more details, or have any further questions!
Here are 5 related questions for you to explore:
- What is the relationship between sound intensity and sound pressure?
- How does the intensity level of sound affect human hearing?
- How do you calculate sound intensity in decibels (dB)?
- What factors could affect the measured intensity of sound in a specific area?
- How does the inverse square law relate to sound intensity in a free field?
Tip:
The inverse square law tells us that the intensity of sound decreases with the square of the distance from the source.
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Math Problem Analysis
Mathematical Concepts
Sound Intensity
Acoustic Power
Surface Area
Basic Algebra
Formulas
I = P / A
Theorems
None
Suitable Grade Level
Grades 9-11
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