How can one calculate the total amount of emitted joules from an object with a temperature that isn't constant? A great start is this formula:
P = σ • A • (T^4)
If the formula is translated from sybmols to units it will look like this:
J/s = σ • (m^2) • (K^4)
(J/s) is joules emitted per second from an object. ( σ ) is the Stefan Boltzmann constant, 5.67•(10^−8). (m^2) is the area of the object. (K^4) is the temperature of the object, in Kelvin, to the power of 4. Now, if I transform the formula:
J = σ • (m^2) • (K^4) • s
Now one can get total amount of joules emitted ( J ) during a certain time ( s ), if one know the temperature and area. To the tricky part: what if the temperature isn't constant? The temperature will depend on how many joules that has already been emitted. And the joules that are being emitted will depend on the temperature.
How can I solve this? Do I need to combine this with an other formula?
Best regards! Please comment if something is unclear!