Answer:
t = 11.85 minutes
Explanation:
Given that,
Radius of the sound transducer, r = 1.4 cm = 0.014 m
Sound intensity, [tex]I=7.19\times 10^3\ W/m^2[/tex]
Sound energy, E = 3150 J
Let t is the time required for the transducer to emit 3150 J of sound energy. We know that, power is given by :
[tex]P=\dfrac{E}{t}[/tex]
[tex]t=\dfrac{E}{P}[/tex]
Since, Power = Intensity × Area
[tex]t=\dfrac{E}{IA}[/tex]
[tex]t=\dfrac{3150}{7.19\times 10^3\times \pi (0.014)^2}[/tex]
t = 711.5 seconds
or
t = 11.85 minutes
So, the time required to emit 3150 J of sound energy is 11.85 minutes. Hence, this is the required solution.
