A thin square steel plate with each side equal to $10\ cm$ is heated by a blacksmith. The rate of radiated energy by the heated plate is $1134\ W$. The temperature of the hot steel plate is (Stefan’s constant $\sigma = 5.67 imes 10^{- 8}watt\ m^{- 2}K^{- 4}$, emissivity of the plate = 1)

Question

A thin square steel plate with each side equal to $10\ cm$ is heated by a blacksmith. The rate of radiated energy by the heated plate is $1134\ W$. The temperature of the hot steel plate is (Stefan’s constant $\sigma = 5.67 	imes 10^{- 8}watt\ m^{- 2}K^{- 4}$, emissivity of the plate = 1)

Dr. Abubacker · Accepted Answer

(b) The rate of radiated energy $\frac{Q}{t} = P = A\varepsilon\sigma T^{4}$
$\Rightarrow 1134 = 5.67 	imes 10^{- 8} 	imes (0.1)^{2}T^{4} \Rightarrow T = 1189\ K$

Q. A thin square steel plate with each side equal to $10\ cm$ is heated by a blacksmith. The rate of radiated energy by the heated plate is $1134\ W$. The temperature of the hot steel plate is (Stefan’s constant $\sigma = 5.67 \times 10^{- 8}watt\ m^{- 2}K^{- 4}$, emissivity of the plate = 1)

Explanation

Reviewed by Dr. Abubacker

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