The formula to calculate the Duct Noise is:
\[ DN = 10 + 50 \log(V) + 10 \log(A) \]
Where:
Duct Noise (DN) is the level of noise generated within an air duct system. It is calculated using the air velocity and the cross-sectional area of the air duct. Higher velocities and larger cross-sectional areas typically result in higher noise levels.
Let's assume the following values:
Using the formula:
\[ DN = 10 + 50 \log(5) + 10 \log(0.2) = 10 + 50 \log(5) + 10 \log(0.2) \approx 10 + 50 \cdot 0.699 + 10 \cdot (-0.699) \approx 37.96 \, \text{dB} \]
The Duct Noise is approximately 37.96 dB.
Let's assume the following values:
Using the formula:
\[ DN = 10 + 50 \log(10) + 10 \log(0.5) = 10 + 50 \cdot 1 + 10 \cdot (-0.301) \approx 10 + 50 - 3.01 = 56.99 \, \text{dB} \]
The Duct Noise is approximately 56.99 dB.