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charmedbeauty
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Homework Statement
A firework charge is detonated many metres above the ground. At a distance of d1 = 590 m from the explosion, the acoustic pressure reaches a maximum of ΔPmax = 10 Pa (see figure below). Assume the speed of sound is constant at 343 m/s throughout the atmosphere over the region considered and the ground absorbs all the sound falling on it. Assume that the density of air is 1.2 kg/m^3. What is the sound level at a distance of d2 = 3.50 ×103 m from the explosion?
Homework Equations
The Attempt at a Solution
so we know that pmax=10Pa when observer is 590m away
so
10= 343×1.2×ω×590
solving for ω
ω= 10 / (343×590×1.2)
now to find p when Smax= 3.50×103
p = 343×1.2×(10 /(343×590×1.2))×(3.5×103)
p= 59.322
I= P /4∏r2
I= 59.322 / 4∏(3.5×103)2
I= 3.8536×10-7
β=10log10(3.85361×10-7 / 10-12)
β = 55.859 dB
this seem like the right method.??.thanks
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