# math

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Find the number of decibels for the power of the sound given. Round to the nearest decibel.
A rocket engine, 2.65 times 10^-5 watts/cm^2

• math -

That sound level must correspond to a certain distance from the rocket. You don't say what it is. Sound level increases as you get closer.

Use the definition of decibels.

dB = 10 * log(I/1.0 x 10^-12 W/m^2)

I = 2.65*10^-5 W/cm^2 = 2.65*10^-1 W/m^2

dB = 10*log(0.265/10^-12)
= 10*11.42
= 114 dB

Some rock concerts are louder than that, within the areana.

• math -

Thank you for help.

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