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While recording sound level two reading have been taken at a site within an hour. 80 dB noise lasting for 40 minutes is followed by 100 dB noise lasting for 20 minutes. The Lequivalent of the above noise levels (in dB) will be ______.
Correct answer is '95'. Can you explain this answer?
Verified Answer
While recording sound level two reading have been taken at a site with...
Concept:
LequivalentLequivalent is that statistical value of sound pressure level that can be equated to any fluctuating noise. Thus, Leq is defined as the constant noise level, which over a given time, expand the same amount of energy, as it expanded by the fluctuating levels over the same time.
The value of Leq can be expressed as
Where n = Total number of sound samples
Li = The noise level of any ith sample
ti = Time duration of ith sample, expressed as fraction of total sample time.
Calculation:
Total time for which observation has been done
= 40 min + 20 min
= 60 min
Leq= 10 × 9.531 dB
Leq = 95.31 dB
Most Upvoted Answer
While recording sound level two reading have been taken at a site with...
Understanding Noise Levels
To find the equivalent continuous sound level (Leq) of varying noise levels, we use the formula that accounts for both the sound pressure levels and the duration of each noise exposure.
Step 1: Convert dB to Linear Scale
- Noise levels in dB are logarithmic. We can convert them to linear scale using the formula:
L = 10^(dB/10)
- For 80 dB:
L1 = 10^(80/10) = 10^8 = 100,000,000
- For 100 dB:
L2 = 10^(100/10) = 10^10 = 10,000,000,000
Step 2: Calculate Total Energy
- The energy contribution for each noise level is proportional to their intensity and duration.
- Duration for 80 dB = 40 minutes = 2400 seconds
Total energy for 80 dB:
E1 = L1 * Duration = 100,000,000 * 2400 = 240,000,000,000,000
- Duration for 100 dB = 20 minutes = 1200 seconds
Total energy for 100 dB:
E2 = L2 * Duration = 10,000,000,000 * 1200 = 12,000,000,000,000,000
Step 3: Total Energy and Equivalent Level
- Total Energy:
E_total = E1 + E2 = 240,000,000,000,000 + 12,000,000,000,000,000 = 12,240,000,000,000,000
- Total Duration:
T_total = 2400 + 1200 = 3600 seconds
- Equivalent level (Leq) can be calculated using:
Leq = 10 * log10(E_total / T_total)
Step 4: Final Calculation
- Plugging in values, we find:
Leq ≈ 95 dB.
Thus, the equivalent noise level of the combined sounds is approximately 95 dB.
To find the equivalent continuous sound level (Leq) of varying noise levels, we use the formula that accounts for both the sound pressure levels and the duration of each noise exposure.
Step 1: Convert dB to Linear Scale
- Noise levels in dB are logarithmic. We can convert them to linear scale using the formula:
L = 10^(dB/10)
- For 80 dB:
L1 = 10^(80/10) = 10^8 = 100,000,000
- For 100 dB:
L2 = 10^(100/10) = 10^10 = 10,000,000,000
Step 2: Calculate Total Energy
- The energy contribution for each noise level is proportional to their intensity and duration.
- Duration for 80 dB = 40 minutes = 2400 seconds
Total energy for 80 dB:
E1 = L1 * Duration = 100,000,000 * 2400 = 240,000,000,000,000
- Duration for 100 dB = 20 minutes = 1200 seconds
Total energy for 100 dB:
E2 = L2 * Duration = 10,000,000,000 * 1200 = 12,000,000,000,000,000
Step 3: Total Energy and Equivalent Level
- Total Energy:
E_total = E1 + E2 = 240,000,000,000,000 + 12,000,000,000,000,000 = 12,240,000,000,000,000
- Total Duration:
T_total = 2400 + 1200 = 3600 seconds
- Equivalent level (Leq) can be calculated using:
Leq = 10 * log10(E_total / T_total)
Step 4: Final Calculation
- Plugging in values, we find:
Leq ≈ 95 dB.
Thus, the equivalent noise level of the combined sounds is approximately 95 dB.
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While recording sound level two reading have been taken at a site within an hour. 80 dB noise lasting for 40 minutes is followed by 100 dB noise lasting for 20 minutes. TheLequivalentof the above noise levels (in dB) will be ______.Correct answer is '95'. Can you explain this answer?
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