Find the number of decibels for the power of the sound given. Round to the nearest decibel. A rocket engine,2.44 cross 10^(−5)watts/cm2.
dB=10log(I/I0)
=10log(2.46∗10−1/10−12)
=10log(2.46∗1011)=113.91dB−−−−−−−−−ans
A rocket engine, 2.39 cross 10−5watts/cm2
To find the number of decibels for the power of the sound, you can use the formula:
L = 10 * log10(I / I0)
where L is the sound level in decibels, I is the power of the sound in watts per square centimeter (W/cm^2), and I0 is the reference power level, which is typically set at 10^(-12) W/cm^2.
Given that I = 2.44 * 10^(-5) W/cm^2, we can calculate the sound level as follows:
L = 10 * log10(2.44 * 10^(-5) / 10^(-12))
L = 10 * log10(2.44 * 10^7)
L = 10 * (log10(2.44) + log10(10^7))
L = 10 * (0.387 + 7)
L = 10 * 7.387
L ≈ 73.87 decibels
Rounding to the nearest decibel, the sound level is approximately 74 decibels.