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Volgvan
3 years ago
12

Quadrupling the power output from a speaker emitting a single frequency will result in what increase in loudness (in units of dB

)
Physics
1 answer:
Leviafan [203]3 years ago
6 0

Answer:

<em>6.02 dB increase  </em>

<em></em>

Explanation:

Let us take the initial power from the speaker P' = P Watt

then, the final power P = 4P Watt

for a given unit area, initial intensity (power per unit area) will be

I' = P Watt/m^2

and the final quadrupled sound will produce a sound intensity of

I = 4P Watt/m^2

Increase in loudness is gotten from the relation

ΔL =  10log_{10} \frac{I}{I'}

where

I = final sound intensity

I' = initial sound intensity

imputing values of the intensity into the equation, we have

==>  10log_{10} \frac{4P}{P} =  10log_{10} 4 = <em>6.02 dB increase  </em>

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Based on the following equation, answer the questions below. ρ = (2γϕ + ψ)/rg where ρ [=] moles per cubic foot [mol/ft3] γ [=] j
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1) Fundamental units of \Psi are [\frac{mol}{m\cdot s^2}]

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Explanation:

The equation for the variable \rho is

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We can re-write the equation as

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This means that:

1) First of all, \Psi must have the same units of \rho r g. So,

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2)

The term 2\gamma \Phi must have the same units of \Psi in order to be added to it. Therefore,

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We also know that the units of \gamma are [\frac{J}{kg}], therefore

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And so, the fundamental units of \Phi are

[\Phi]= [\frac{mol\cdot kg}{J\cdot m\cdot s^2}]

However, the Joules can be written as

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Therefore

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Explanation:

Given that,

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If
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Answer:

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