Newton's Law of Cooling
It looks like you're new here. If you want to get involved, click one of these buttons!
The temperature asserted immediately after the big bang theory is 1 billion degrees
It is fallaciously asserted the universel Grows and cools 100s after the Big Bang.
Newton's Law of Cooling
Newton's Law of Cooling states that the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature (i.e. the temperature of its surroundings).
T (t) = Temperature of the universe at time t (in min).
T0= t°= Initial Temperature of the universs =1 b deg.
Ta= Ambient temperature (temp of matter) = 1 b degrees
The temperature is 1 billion degrees
At present, roughly 30% of the incoming solar radiation is reflected back to space by the clouds, aerosols, and the surface of Earth. Without naturally occurring greenhouse gases, Earth's average temperature would be near 0°F (or -18°C) instead of the much warmer 59°F (15°C).
The sun's tempreture
9,940°F, hot enough to incinerate just about any material
The Stefan-Boltzman Law describes the rate of energy output (the radiated power) for a particular object. This power depends on both the temperature and the surface area of the object. As an equation, it looks like this (assuming it is a perfect object that only radiates and does not absorb any external radiation).
In this expression, A is the surface area, T is the temperature and σ is a constant (not surprisingly called the Stefan-Boltzman constant). But of course the most important part is the area. If you double the area, you double the power.
That is, the power per unit area is directly proportional to the fourth power of the thermodynamic temperature. The value of the Stefan-Boltzmann constant is approximately 5.67 x 10 -8 watt per meter squared per kelvin to the fourth (W. ... K -4 )
Blocks of iron
One block is 1 cm on a side (block A) and the other block is 2 cm on a side (block . Both blocks start at the same temperature (let's say 100 °C) and the cool down to 90 °C. I can calculate the area for both blocks to get the radiated power. Let's do that.
Block A area = 6 x (0.01 m)2 = 0.0006 m2 (each side is a square and there are six sides).
Block B area = 6 x (0.02 m)2 = 0.0024 m2.
Since block B has a larger side, it has a surface area that is four times larger. This means that the power output is also four times larger. So, it would cool off faster? Right? Not so right. While it's true that the bigger block has a faster decrease in energy, it also has more energy.
Let's look at the change in energy for a temperature going from 100 °C to 90 °C. The energy change also depends on the object's mass and the type of material. This can be described with the following equation:
In this expression, m is of course the mass and ΔT is the change in temperature. The other variable (c) is the specific heat. It is a measure of the change in energy per mass and temperature for a particular material. Aluminum has a specific heat of 0.9 Joules per gram per degree Celsius. But really, the specific heat doesn't really matter since both blocks are made of the same material. What does matter is the mass. It's the only thing that matters.
If you double the length of the side of a cube, what happens to the mass? Assuming a density of 2.7 grams per cubic centimeter, I will calculate the mass of these two blocks.
Bloack A mass = (2.7 g/cm3) x (1 cm)3 = 2.7 grams
Block B mass = (2.7 g/cm3) x (2 cm)3 = 21.6 grams
Yes, block B is eight times more massive even though it's only double the length—that's the way volume works. With eight times the mass, block B would need eight times the change in energy to go from 100°C to 90°C. So even though the radiated power is four times larger for block B, it will still take longer to cool off.
If larger masses take more time to cool than the mass of stars or planets in the universe would take longer to cool than the earth
Surface area: 196.9 million mi²
Distance from Sun: 92.96 million mi
6.39 × 10^23 kg
Surface area: 55.91 million mi²
Distance from Sun: 141.6 million mi
1.989 × 10^30 kg
Radius: 695,700 km (1 R☉)
Surface temperature: 5,778 K
If you calculate the temptreture of the sun and it's distance from earth the earth would have been incinerated by the sun based on Newton's law of cooling and the Stefan boltman law.
I'm going to calculate the initial thermal tempreture of planets using the big bang theory initial tempreture.
Jesus is Lord.