Warner Perkins
06/04/2024 · Primary School

Using an electronic decibel meter, Monique measures the loudness of an acoustic guitar at a distance of 1 meter, and gets a reading of 65 decibels \( (d=65) \) Using the decibel formula, solve: \( 65=10 \log \left(\frac{P}{P_{0}}\right) \) to find the loudness ratio \( \frac{P}{P_{0}} \) Write your answer as a power of 10 like \( 10^{3} \) Next, using the same decibel meter and also from a distance of 1 meter, Monique measures an electric guitar at 100 decibels Using the decibel formula, solve: \( 100=10 \log \left(\frac{P}{P_{0}}\right) \) to find the loudness ratio \( \frac{P}{P_{0}} \) Write your answer as a power of 10 \( \frac{P}{P_{0}}=\square \) How much louder is the electric guitar? Using your answers for the loudness ratios: The electric guitar is Write your answer as a power of 10

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The electric guitar is \( 10^{3.5} \) times louder than the acoustic guitar.

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