Calculating Heat from Radiation on Metal Object

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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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