Essay

Calculating Dishwasher Noise Levels in Facility Management

Imagine you are an assistant facility manager reviewing noise specifications for a new office breakroom. The purchasing department has selected a quiet dishwasher model with a sound intensity of 107{}10^{-7} watts per square inch. To ensure the appliance meets the company's acoustic comfort policy, your supervisor asks you to write a brief memo detailing the decibel calculation.

In your memo, address the following:

  1. State the standard formula used to calculate decibel levels (DD) from sound intensity (II), and identify the reference threshold of hearing constant used in the denominator.
  2. Show the step-by-step algebraic substitution and simplification of the sound intensity 107{}10^{-7} into this formula.
  3. Identify the logarithmic property used to evaluate the simplified expression, and show how it results in the final decibel level of 50 dB.

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Updated 2026-06-03

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