An aluminum cylinder with radius 1.7cm and length 18cm is heated to 430?C. Find the net power this cylinder radiates into a room at 23?C.
Radius r = 1.7 cm = 0.017 m
Area of cross section =
= 9.079 x 10 -4 m 2
Total surface area A = 2 + 2
= 18.158 x 10 -4 + 0.019226
= 0.021 m 2
Length L = 18 cm = 0.18 m
If the emissivity of aluminium e = 1
Then the net power radiates P =
Where T = 430 o C = 430 + 273 = 703 K
T ' = 23 o C = 23 + 273 = 296 K
= Stefan constant = 5.670 x 10-8 W m-2 K-4
Substitute values you get P = 282.24 watt
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