Temperature Of Small Body Given Emissivity And Emitted Radiation Calculator

Temperature Formula:

\[ T = \left( \frac{E_{emit}}{\varepsilon \cdot [Stefan-BoltZ]} \right)^{0.25} \]

Temperature (T):

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1. What Is The Temperature Of Small Body Given Emissivity And Emitted Radiation?

The temperature of a small body can be calculated using the Stefan-Boltzmann law, which relates the temperature of an object to the radiation it emits, taking into account its emissivity properties.

2. How Does The Calculator Work?

The calculator uses the temperature formula:

\[ T = \left( \frac{E_{emit}}{\varepsilon \cdot [Stefan-BoltZ]} \right)^{0.25} \]

Where:

\( T \) — Temperature (Kelvin)
\( E_{emit} \) — Emitted Radiation (W/m²)
\( \varepsilon \) — Emissivity (0-1)
\( [Stefan-BoltZ] \) — Stefan-Boltzmann Constant (5.670367×10⁻⁸ W/m²K⁴)

Explanation: This formula calculates the temperature of a body based on the radiation it emits and its emissivity coefficient, using the fundamental Stefan-Boltzmann law of thermal radiation.

3. Importance Of Temperature Calculation

Details: Accurate temperature calculation is crucial for thermal analysis, heat transfer studies, material science research, and various engineering applications involving thermal radiation.

4. Using The Calculator

Tips: Enter emitted radiation in W/m² and emissivity as a value between 0 and 1. Both values must be positive, with emissivity not exceeding 1.0.

5. Frequently Asked Questions (FAQ)

Q1: What is emissivity and why is it important?
A: Emissivity is the measure of an object's ability to emit thermal radiation compared to a perfect blackbody. It ranges from 0 (perfect reflector) to 1 (perfect emitter/blackbody).

Q2: What are typical emissivity values for common materials?
A: Most organic or oxidized surfaces have emissivity close to 0.95, polished metals around 0.05-0.2, while blackbody surfaces approach 1.0.

Q3: Why use the Stefan-Boltzmann constant?
A: The Stefan-Boltzmann constant relates the total energy radiated per unit surface area of a blackbody to the fourth power of its absolute temperature.

Q4: What are the limitations of this calculation?
A: This calculation assumes the body behaves as a perfect blackbody radiator and may not account for all real-world conditions and environmental factors.

Q5: Can this be used for all types of bodies?
A: This formula is particularly useful for small bodies where the entire surface can be considered at uniform temperature and emissivity.