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This month’s challenge is on black holes! Create a worksheet that:
Image courtesy of NASA Goddard Space Flight Center / Jeremy Schnittman used under CC BY-SA 4.0.
Considerations:
Are you up to the challenge?
Be sure to consult the PTC Mathcad Community Challenge Guidelines.
Thought I'd have a crack at this one. Note this is MathCAD 7 format.
I have a question.
From the reference document
Problem 1 - Sketch a life-sized illustration of the gas surrounding the above black hole
and give the temperature at a distance of 1 meter, 50 centimeters and 5 centimeters from
the center of the black hole.
Answer: At 1 meter, T = 35,000 K, which is 6 times the surface temperature of our sun.
At 50 cm or 0.5 meters, T = 59,000 K.
At 5 centimeters or 0.05 meters, T = 331,000 K
Using your equation i get a different answer
Your thoughts on my equation. Thanks.
A couple tips:
https://www.omnicalculator.com/physics/black-hole-temperature
Aha! I see you've found my deliberate error 😉
Thank you for the peer review.
Updated version attached (also added the log scaling to the temperature graph).
Not terribly challenging except for having to mine equations from the reference. Note that there is a difference between the "gas temperature" and the black body temperature equations. Prime 4 Express
January 2023 only lasts for another week!
If you want to submit something that'll have an impact on the challenge discussion, please submit a worksheet using the chart component!
Last day today!
If you don't submit anything, the black holes will destroy the universe and we won't know your contributions towards calculating the mathematical properties of that cataclysm. That'd be a shame.
Sorry for the delay; we finally published the solution blog for this challenge!
https://www.mathcad.com/en/blogs/community-challenge-black-holes
(It also features a Chart Component.)
Y'all that participated, thank you for doing so. You got community badges a long time ago.