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Venerable R
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Homework Statement
A python can detect thermal radiation with intensity greater than .60 W/m2. A typical human body has a surface area of 1.8 m2, a surface temperature of 30°C, and an emissivity e=0.97 at infrared wavelengths. What is the maximum distance from which a python can detect your presence? You can model the human body as a point source of radiation.
I = .60 W/m2
e = 0.97
T = 303 K
A = 1.8 m2
d = ? (m)
Homework Equations
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λ = (2.9*106 nm⋅K)/ Temp (in K)
I = P/(4πr2)
Q/Δt = eσAT4
σ = 5.67 * 10 -8 W/(m2⋅K4)
The Attempt at a Solution
λ = (2.9*106 nm⋅K)/ 303 K = 9571 nm
And if P = Watts, A = m2, and I = W/m2
Then, P = I*A → .60*1.8 = 1.08 W
.60 W/m2 = (0.97 * 1.08 W)/(4πr2)
r = .37 m
Honestly, I'm not sure what else to do. I don't think "P" is correct.
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