Thermal expansion across a copper rod

AI Thread Summary
To determine the shape of a copper rod heated at one end and cooled at the other, it is essential to calculate the temperature distribution along the rod. The thermal conductivity of copper is 380 J/(smC), and the rod has a diameter of 2.54 cm and a length of 0.5 meters. The heat transfer equation, ΔQ = k A (Thot – Tcold) / Δt L, can be applied to find the heat flow. Understanding the temperature gradient will allow for the calculation of linear and volumetric expansion at various points along the rod. Assistance is needed to navigate the calculations for temperature distribution and subsequent expansions.
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Homework Statement



Determine the actual shape of a copper bar in contact with a furnace at a constant 200 C at one end and a constant ice bank at 0 C at the other end.

Diameter of the rod is 2.54 cm. Length is .5 meters. Thermal conductivity of copper is 380 J /
(smC)

Homework Equations




Q = k A (Thot – Tcold)
t L

The Attempt at a Solution



Honestly, I have no idea how to do this. I know that I must find the temperature distribution across the rod in order to find the linear and volumetric expansion at each point. But I don't know how to do this.
 
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bump. someone please help.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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