Physics: power output of 87 W. At what distance will the decibel reading be 120 dB, which is noise level of a loud indoor rock concert

Explanation:The sun gravity keeps the solar system i.e planets in its place and orbits if there is no sun the planets would flying off and It would be complete and utter chaos in our solar system...

power output of 87 W. At what distance will the

Ответ:

ruchierosanp1n3qw

30.01.2022

Physics

r = 2.63 m

Explanation:

To find the distance at which the sound level is 120dB, you first calculate the intensity of the sound. You use the following formula:

$\beta=10log(\frac{I}{I_o})$ (1)

β: sound level = 120dB

I: intensity of the sound

Io: threshold of hearing = 10⁻12W/m^2

You solve the equation (1) for I and replace the values of all parameters:

$\beta=log(\frac{I}{I_o})^{10}\\\\10^\beta=10^{log(\frac{I}{I_o})^{10}}=(\frac{I}{I_o})^{10}\\\\I=10^{\beta/10}I_o$

$I=10^{120/10}(10^{-12}W/m^2)=1\frac{W}{m^2}$

Next, you use the following formula for the power of the sound with intensity I, and you solve for r:

$I=\frac{P}{4\pi r^2}\\\\r=\sqrt{\frac{P}{4\pi I}}$

r: distance at which the sound level is 120dB

P: power of the sound = 87W

I: intensity of the sound = 1W/m^2

You replace the values of I and P for calculating r:

$r=\sqrt{\frac{87W}{4\pi (1W/m^2)}}=2.63m$

The distance is at 2.63m from the source of the soundr = 2.63m

0,0(0 оценок)

power output of 87 W. At what distance will the decibel reading be 120 dB, which is noise level of a loud indoor rock concert

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Physics

Ask an AI advisor a question