Calculating Heat from Radiation on Metal Object

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SUMMARY

This discussion focuses on calculating the temperature of a metal object heated by solar radiation using two key equations: the specific heat capacity equation (Q = mCpΔT) and the radiation equation (Q = εσAT^4). Participants emphasize the importance of understanding both the input heat from sunlight and the output heat through radiation. For accurate calculations, it is crucial to consider the metal's mass, heat capacity, and the area exposed to sunlight, alongside the object's reflectivity. The final temperature of the metal is determined primarily by the area and the temperature of the heat source.

PREREQUISITES
  • Understanding of specific heat capacity (Q = mCpΔT)
  • Knowledge of Stefan-Boltzmann law (Q = εσAT^4)
  • Familiarity with concepts of thermal radiation and blackbody behavior
  • Basic principles of heat transfer and insulation
NEXT STEPS
  • Research the Stefan-Boltzmann constant (σ) and its applications in thermal calculations
  • Learn about blackbody radiation and its implications for real-world materials
  • Explore methods for measuring reflectivity and emissivity of different metals
  • Investigate heat transfer coefficients for various insulation materials
USEFUL FOR

Students in physics or engineering, researchers in thermal dynamics, and professionals involved in materials science or solar energy applications will benefit from this discussion.

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Homework Statement



How do I calculate how hot a metal object will get if it's just left to be heated up by the sun?

Homework Equations



The two equations that i know of would be the specific heat capacity of the metal: Q = mCpΔT
And the radiation equation: Q=εσAT^4

The Attempt at a Solution



Do i need to find the total sunlight hitting it per hour?
 
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please help!
 
You need to know the rate of heat loss
If you assume it is perfectly insulated and the only loss is by radiation, then if you assume it's a blackbody (and know it's reflectivity) then you can calculate the final temperature.

Input heat is a function of the source temperature and the area of the metal facing the source.
Output heat is a function of the temperature of the metal and the total area
Temperature at a particular will depend on the mass of the metal, it's heat capacity and the power difference.
But the final temperature will depend only on the area and the source/sink temperature.
 

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