4 years ago

Need help!!!!!!!!! Please

Physics

1 answer:

svet-max [94.6K]4 years ago

5 0

Mass is the scalar quantity. (A)

Velocity, force, and acceleration are vectors.

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A certain siren radiates sound uniformly in all directions. At a distance of 17 m from the siren, the intensity level is 49 db.

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Answer:

The power is $P = 2.88*10^{-4 } \ W$

Explanation:

From the question we are told that

The distance from the siren is $d = 17 \ m$

The intensity level is $\beta = 49\ dB$

The threshold of hearing is $I_0 = 1.0 *10^{-12} \ W/m^2$

Generally the intensity level is mathematically represented as

$\beta = 10dB * log [\frac{I}{I_o} ]$

Where I is the intensity at which the siren radiates the sound

substituting values

$49 = 10 * log [\frac{I}{1.0 *10^{-12}} ]$

=> $I = 7.94*10^{-8} W/m^2$

Now the amount of power the siren put out is mathematically evaluated as

$P= IA$

Where A is the area of the siren which is taken as a sphere and it is mathematically evaluated as

$A = 4 \pi d^2$

$P = I * 4 \pi d^2$

substituting values

$P = 7.94 *10^{-8} * 4 * 3.142 * (17)^2$

$P = 2.88*10^{-4 } \ W$

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