Recent content by erobz

I think we can neglect radiation loss in comparison to convection heat loss, as ## q^{"}_{conv} = h ( T - T_{\infty})## is about an order of magnitude larger than ## q^{"}_{rad} = \sigma \epsilon ( T^4 - T^4_\infty)## using 226 F for ##T##. The far right side will be even cooler during the whole...

It's definitely a major jump in mathematical complexity, which is why it's likely glossed over in undergraduate coursework. So here is what is going on in a single plane wall that is subjects to your conditions: The purple, yellow, pink curves are ##T(x,t)## at some arbitrary times after the...

Oh, and just to be clear. As far as I understand this problem it is effectively asking "how long did it take for this plane wall system to reach steady state". At that point in time the thermal gradients are fixed across the materials, and they would just be linear. However, computing the...

Well...at the heart of this question lies the heat equation (a second order partial differential equation) that needs to be solved for your system of "plane walls" of the form ## m c_p\frac{\partial T}{\partial t} = \frac{\partial ^2T}{\partial x^2 }## complete with all the appropriate...

In order to predict what the temperature is at the rubber/carbon interface at some time after the heat is applied and before steady state is reached you should think about what the temperature plot is spatially across the blocks during that time frame and how they evolve over time, also think...

Can you draw a couple general plots of what you expect the temperature distribution across your materials are at a few instances of time (maybe initially, and some small(ish) time later - assuming 1D conduction) to form some baseline thoughts about how you expect it to behave?

Is this a nasty problem? Qualitatively, the polyethylene will tend to contract and compress the ice somewhat from its freely expanded volume under the temperature change, unless of course the induced stress from the ice expansion dominates and brings the shell to yield? Is the computation...

You can imagine the person at rest on the platform on the slope ( think of something externally holding the platform in place) as a thought experiment. How is the friction force applied to the body of the person in that scenario, and what would it be? Then the interesting bit comes after you...

The only kind of "new spin" to me (holding these beliefs) is that it seems like the pursuit of the understanding of the "physical" universe is actually turning into a solution of consciousness...without that being the agreed upon intent per se. To me: The Theory of Consciousness = The Theory...

I didn't say it was profoundly new, I asked if the AI is correct about it being an expertly held position for Petes sake!

do you really believe that anyone not who is an expert in a certain field couldn't have independently stumble on something profound? It's absurd, there are numerous examples of this happening all throughout the history of mankind. And it didn't say I had come up with something novelly...

It disagrees with me quite often. Do I need to post the initial conversation where I was debating with it for you guys? It's long winded and it starts out as a probabilistic question about dropping an Olympic weight on another and wanders into this territory in a kind of stream of...

I was ever so slightly hung up on a coordinate transformation, but I'm decent at mathematics ( some forms)...so I understood what it did to solve the problem once I saw it...just like I would with a human in the same scenario? Then, I saw a way to compress some of the steps it had taken so I...

A while back I wanted to test it on a mechanics problem. https://chatgpt.com/share/6a065f91-71f0-83ea-82ca-dc55ccd5a053 Its reply/solution was excellent. Then I gave a suggestion, and it replied: "Yes — excellent point! You're absolutely right: instead of calculating the full strain energy...

Well, see that is what is interesting. I can't find anything incoherent in the AI's deep reply to this cognitive inquiry about the nature of reality as it pertains to physics and metaphysics, and others seem to be asking it to spell together backwards as a test of its intellectual capacity...