Find the number of decibels for the power of the sound given

Find the number of decibels for the power of the sound given. Round to the nearest decibel.

A rocket engine,

watts/cm²

dB

Solution

If \"2.34 cross\" is meant as \"2.34 cm^2 cross-section\", then the \"power\" (sound pressure level) would be

2.34 * 10^5 W

which is

10 * log (2.34 * 10^5)

which is (using log(a*b) = log(a) + log(b))

5.36 dB