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Old 06-05-2009   #16 (permalink)
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Re: Belief in Earth's Iron Core still puzzling

Yeah, I'd also guess Cold-co is saying something along those lines. Cold-co, I don't see how these numbers make sense:

Code:
Radius       gv cold         gh cold     gv hot       gh hot     gv aver       gh aver
6371	9.8331	10.0604	  9.9307	  8.0385	9.8253	  9.7883
I'm at about r=6371 km right now and I don't feel 10 m/s^2 "horizontal acceleration". The only acceleration I feel is downward. I would probably guess that you don't mean acceleration in the usual sense.

I don't know how you found those numbers, but I'll show you how I would do it. Consider a spot at the inner / outer core boundary r = 1,220 km (1220000 m). The mass beneath this spot is roughly 1.01 \times 10^{23} kg and the mass above it (at larger values of r) is roughly 60 times greater. The mass above can safely be ignored by the two proofs I gave the other day and the mass below follows:
F = \frac{GM}{r^2}
F = \frac{(6.67 \times 10^{-11} \ m^3 \ kg \ s^{-2})(1.01 \times 10^{23} \ kg)}{(1220000 \ m)^2} = 4.53 \ m/s/s
The gravitational acceleration at r= 1220 km (the inner / outer core boundary) is roughly 4.53 m/s/s toward the center. To calculate the pressure at this point we would need to consider the weight of the material above it.

Would you object, Cold-co, if I split this discussion about your model into it's own thread perhaps titled "Cold Core Model of Earth's Structure"?

~modest


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