Using the new cylinder the heat rate between the reservoirs would be 50 W
Conduction could be described by the Law of Fourierin the form: where is the rate of heat transferred by conduction, is the thermal conductivity of the material, and are the temperatures of each heat deposit, is the cross area to the flow of heat, and is the distance that the flow of heat has to go.
For the original cylinder the Fourier's law would be: , and if , then the expression would be: where is the diameter of the original cylinder, and is the length of the original cylinder.
For the new cylinder, in the same fashion that for the first, Fourier's Law would be: ,where is the heat rate in the second case, and are the new diameter and length.
But, and , substituting in the expression for : .
In the last declaration of , it could be noted that the expressión inside the parenthesis is actually , then: .
<u>It should be noted, that the temperatures in the hot and cold reservoirs never change.</u>
<span>An object that is in free fall seems to be
weightless, even though the usual force of gravity is acting on it.
If the falling object happens to be a person, then every part of him is falling at the same rate, so none of his internal organs are pressing against anything like they normally do, and he has no sensation of weight.
If a bathroom scale happens to be falling with him and he places it under his feet, it won't read anything, since the scale and the person are both falling at the same rate. </span>