BEST ANSWER GETS BRAINLIEST! At what distance from a 70.0 Watt speaker is the intensity 0.0195 W/m^2 (Treat th

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BEST ANSWER GETS BRAINLIEST!

At what distance from a 70.0 Watt speaker is the intensity 0.0195 W/m^2

(Treat the speaker as point of the source)

(Unit=meters)

PLEASE HELP ME!

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RI SƠ 4 years 2021-09-01T01:05:46+00:00 1 Answers 23 views 0

Answers ( )

  1. thuthuy
    0
    2021-09-01T01:06:47+00:00
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    Answer:

    Distance = 16.9 m

    Explanation:

    We are given;

    Power; P = 70 W

    Intensity; I = 0.0195 W/m²

    Now, for a spherical sound wave, the intensity in the radial direction is expressed as a function of distance r from the center of the sphere and is given by the expression;

    I = Power/Unit area = P/(4πr²)

    where;

    P is the sound power

    r is the distance.

    Thus;

    Making r the subject, we have;

    r² = P/4πI

    r = √(P/4πI)

    r = √(70/(4π*0.0195))

    r = √285.6627

    r = 16.9 m

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