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What is the combined noise level of two sounds of 86 and 96 dB?

Expert Solution
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Step 1

To calculate the combined noise level of two sounds, we need to use the formula:

L_combined = 10 * log10 (10^(L1/10) + 10^(L2/10))

where L1 and L2 are the sound levels of the two sounds, in decibels (dB).

Using this formula, we can calculate the combined noise level of the two sounds of 86 dB and 96 dB:

L_combined = 10 * log10 (10^(86/10) + 10^(96/10)) = 10 * log10 (7.9433 x 10^8 + 7.9433 x 10^9) = 10 * log10 (8.7376 x 10^9) = 10 * 9.9415 = 99.415 dB

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Using multiple decibel calculars online the answer is 96.41.

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Using multiple decibel calculars online the answer is 96.41.

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