High School

In XYZ Co., an all-day study revealed the following noise sources:

- 0.5 hours at 100 dBA
- 1 hour at less than 80 dBA
- 3.5 hours at 90 dBA
- 3 hours at 92 dBA

Calculate the rest allowance.

Answer :

To determine the rest allowance, we subtract the cumulative noise dose from the permissible limit. The remaining allowance for noise exposure in XYZ Co. is 70.2%.

To calculate the rest allowance for noise exposure, we need to determine the cumulative noise dose for the given durations and noise levels. The noise dose is a measure of the total energy received by a person over a specified period of time. It is calculated using the formula: Dose = 10 * log10 (T/8) * (C/5)^1.5, where T is the duration in hours and C is the noise level in dBA.

For the given data, we can calculate the noise dose for each duration and then sum them up to get the total cumulative noise dose. The rest allowance can be obtained by subtracting the cumulative noise dose from the permissible limit set by the regulatory standards.

Using the provided information, we calculate the noise dose for each duration: 0.5 hours at 100 dBA gives a dose of 33.5%, 1 hour below 80 dBA gives a dose of 0%, 3.5 hours at 90 dBA gives a dose of 48.3%, and 3 hours at 92 dBA gives a dose of 48%. Adding these doses together, we get a cumulative noise dose of 129.8%.

To determine the rest allowance, we subtract the cumulative noise dose from the permissible limit. The permissible limit varies depending on the applicable regulations or standards. Let's assume the limit is 200% for this example. Therefore, the rest allowance would be 200% - 129.8% = 70.2%. Thus, the remaining allowance for noise exposure in XYZ Co. is 70.2%. It indicates the percentage of additional noise exposure that can be tolerated without exceeding the permissible limit.

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