# Calculating Temperature at a Distance from Heat Source

• EasterEggs123
In summary, there is no one simple formula to find out how heated a place x meters/kilometers from a heat source will be, if we have the size of the heat source, it's shape, it's surface temperature, it's inner temperature, everything. However, useful calculations can be done using mathematical methods.

#### EasterEggs123

Is there a formula or equation to find out how heated a place x meters/kilometers from a heat source will be, if we have the size of the heat source, it's shape, it's surface temperature, it's inner temperature, everything? + the distance between source of heat and the specific location is vacuum, or simply low atmospheric contents.

Wrong topic... if a mod can switch to general physics that would be good.

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There is no one simple formula covering all situations but certainly useful calculations relating to heat can be done using mathematical methods .

Did you have a specific problem in mind ?

Nidum said:
There is no one simple formula covering all situations but certainly useful calculations relating to heat can be done using mathematical methods .

Did you have a specific problem in mind ?
I try to learn from these forums so I ask how it's done, instead of asking people to do them for me -- but since you're asking about my specific problem, I could reveal it. I believe that theoretical physics can be a good way to determine truth of an idea or hypothesis. So I browse the internet more than I should and come across strange places. I have been to the flat Earth community but I dismantled their theory quite quickly by asking them how they can explain lunar eclipses, and they could not. Then I came across others which I also quickly proved wrong not using physics but logic and thinking. But the one I'm at right now is claiming that the sun is merely a thousand kilometers above the surface of the Earth and is a small half sphere of electrical, sulphur lamp -- which I plan to prove wrong using physics and check that it can't work by calculations.

Hence the reason I'm here asking this question, still in high school with lacking physics knowledge to figure it out myself.

EasterEggs123 said:
But the one I'm at right now is claiming that the sun is merely a thousand kilometers above the surface of the Earth and is a small half sphere of electrical, sulphur lamp -- which I plan to prove wrong using physics and check that it can't work by calculations.
A problem that you will quickly run into is that the radiated power from a surface scales inversely with the square of the distance to the surface and directly with the square of the size of the surface. That means that (for a particular fixed temperature), the heat received will depend only on the apparent size of the surface as seen by the target. Give a half-sphere one thousand miles away the same temperature as the surface of the sun and the same angular diameter as the sun and it will provide the same illumination and the same heat as the sun.

This forum is not an appropriate place to debunk third party claims that go counter to established science. Let me leave it at that.

jbriggs444 said:
A problem that you will quickly run into is that the radiated power from a surface scales inversely with the square of the distance to the surface and directly with the square of the size of the surface. That means that (for a particular fixed temperature), the heat received will depend only on the apparent size of the surface as seen by the target. Give a half-sphere one thousand miles away the same temperature as the surface of the sun and the same angular diameter as the sun and it will provide the same illumination and the same heat as the sun.

This forum is not an appropriate place to debunk third party claims that go counter to established science. Let me leave it at that.
Thank you for the explanation -- Regarding your last statement, I certainly feel your worry about people talking 'flat Earth stuff' and other topics on a science forum, but I'm not an advocate of it, I'm simply asking how through science, one can refute such ideas.

I certainly feel that loons should be locked out of scientific forums, and I certainly hope no flat earther starts a stirr here, but moving from my emotional opinion to the rational one, I don't see how asking physics questions on a science forum can be wrong in any way, because science is about inquiry and asking questions, to make this a taboo would be positively anti-scientific and stop our intellectual growth and advancement.

Tom.G
If the sun is a hemisphere that close to us it would appear spherical only at local noon at specific Latitudes. Every place else would see an edge of the hemisphere. Draw a sketch, to scale, to make it obvious.

## 1. How is temperature at a distance from a heat source calculated?

Temperature at a distance from a heat source can be calculated using the inverse square law, which states that the intensity of heat decreases with the square of the distance from the source. This means that the temperature at a distance will be inversely proportional to the square of the distance from the source.

## 2. What are the factors that affect the temperature at a distance from a heat source?

The main factors that affect temperature at a distance from a heat source are the intensity of the heat source, the distance from the source, and the environment in which the heat is being transferred. Other factors such as wind, humidity, and insulation can also play a role.

## 3. How does the material of the heat source affect temperature at a distance?

The material of the heat source can affect temperature at a distance in two ways. Firstly, the material can affect the intensity of the heat being radiated, which can impact the temperature at a distance. Secondly, the material can also affect the rate at which the heat transfers to the surrounding environment, which can also impact the temperature at a distance.

## 4. Is there a specific formula for calculating temperature at a distance from a heat source?

Yes, there is a specific formula that can be used to calculate temperature at a distance from a heat source. It is known as the Stefan-Boltzmann law, which relates the heat energy radiated by a body to its temperature and the distance from the source. This formula is often used in conjunction with the inverse square law to calculate temperature at a distance.

## 5. Can temperature at a distance from a heat source be accurately predicted?

While temperature at a distance from a heat source can be estimated using mathematical formulas, it is important to note that there are many variables that can affect the accuracy of the prediction. These variables include environmental conditions, changes in the heat source, and the presence of other heat sources in the surrounding area. Therefore, while predictions can be made, they may not always be completely accurate.