A flying hawk makes a noise of frequency 50 Hz that spreads evenly in every direction. The intensity at the ground, 60 m below, is measured at 70 dB. What is the power radiated by the hawk?

Respuesta :

Answer:

The power radiated by the hawk is 0.452 Watt.

Explanation:

Given that,

Frequency = 50 Hz

Distance r=60 m

Level = 70 dB

We need to calculate the intensity

Using formula of intensity

[tex]dB=10 log(\dfrac{I}{I_{0}})[/tex]

Put the value into the formula

[tex]70=10 log(\dfrac{I}{10^{-12}})[/tex]

[tex]I=10^{7}\times10^{-12}[/tex]

[tex]I = 1\times10^{-5}\ W/m^2[/tex]

We need to calculate the power radiated by the hawk

Using formula of power

[tex]P = I\times 4\pi r^2[/tex]

Put the value into the formula

[tex]P=1\times10^{-5}\times4\pi\times(60)^2[/tex]

[tex]P=0.452\ W[/tex]

Hence, The power radiated by the hawk is 0.452 Watt.