Question

The power output of a certain public-address speaker is 6.00W . Suppose it broadcasts equally in all directions.(b) At what distance from the speaker would the sound be barely audible?

Answer 1

The distance from the speaker would the sound be barely audible is 477.46km.

What is distance?

It's how far away two objects or locations are measured numerically as distance. Distance in physics or common language can refer to a physical length or an assumption based on other factors (e.g. "two counties over"). Sometimes the symbol |AB| is used to indicate how far apart two points are. "Distance from A to B" and "Distance from B to A" are typically equivalent terms. A distance function or metric in mathematics is an extension of the idea of physical distance; it defines what it means for components in a space to be "near to" or "far away" from one another. Distance is a non-numerical unit of measurement in the social sciences and psychology.

Explanation:

Sound audible(barely) = 0dB

I= 10.709*I/$10^{-10}$=0

I= $10^{-12}$*$10^{0}$=$10^{-12}$w/$m^{2}$

$distance(r)=\sqrt[]{\frac{P}{4\pi I} } =\sqrt[]{\frac{6}{4\pi * 10^{-12} } } =477.46 km$

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