4.9 The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy H from a surface, as in H = AeoT* %3D where H is in watts, A = the surface area (m²), e = the emissivity that characterizes the emitting properties of the surface (dimension- less), o = a universal constant called the Stefan-Boltzmann con- stant (= 5.67 × 10¬8 W m¯² K¯4), and T = absolute temperature (K). Determine the error of H for a steel plate with A = 0.15 m², e = 0.90, and T = 650 ± 20. Compare your results with the exact error. Repeat the computation but with T = 650 ± 40. Interpret %3D your results.

Advanced Engineering Mathematics
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4.9 The Stefan-Boltzmann law can be employed to estimate the
rate of radiation of energy H from a surface, as in
H = AeoT
where H is in watts, A = the surface area (m²), e = the emissivity
that characterizes the emitting properties of the surface (dimension-
less), o = a universal constant called the Stefan-Boltzmann con-
stant (= 5.67 × 10-8 W m¯² K¯+), and T = absolute temperature
(K). Determine the error of H for a steel plate with A = 0.15 m²,
e = 0.90, and T = 650 ± 20. Compare your results with the exact
error. Repeat the computation but with T = 650 ± 40. Interpret
%3D
your results.
Transcribed Image Text:4.9 The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy H from a surface, as in H = AeoT where H is in watts, A = the surface area (m²), e = the emissivity that characterizes the emitting properties of the surface (dimension- less), o = a universal constant called the Stefan-Boltzmann con- stant (= 5.67 × 10-8 W m¯² K¯+), and T = absolute temperature (K). Determine the error of H for a steel plate with A = 0.15 m², e = 0.90, and T = 650 ± 20. Compare your results with the exact error. Repeat the computation but with T = 650 ± 40. Interpret %3D your results.
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