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Colin the Mathmo
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Fulltime freelance provider of outreach and enhancement in maths ... I talk a lot. About maths. I talk about other stuff too, like ballroom dancing, juggling, unicycling, education, engineering, software, and "other things". But mostly about maths. I tend to follow back, but only if you have something in your profile.
Replying to Avatar Colin the Mathmo

nostr:npub1nadtggdgf58wx4jjyu7x0ajkx94h873syn8mlt5jnmqgl600texsk42adz Close to the horizon there are atmospheric effects that screw with the numbers, so while I agree with your intuition, your evidence is not as convincing as you might hope.

nostr:npub1nadtggdgf58wx4jjyu7x0ajkx94h873syn8mlt5jnmqgl600texsk42adz ... but the answer is now found, the Moon's diameter is a thousand times bigger ... 3475 km, not 3475 m.

So it's 3.34 times 1000 seconds, or about 56 minutes.

nostr:npub1jwllprty3r83mu06vka8drp059s8hmn4fa766eje62jeygayelnsq05rwk Yup ... exactly right.

Now editing the original to admit the gaffe.

Replying to 825c5a2a...

nostr:npub1yzgcvpqkhc8zq7y4gx9v9ch8syk53xcsetw52l8mh3l7nup2gktqux3zfx Hah !!!

There we go, so the answer is about 1000 time bigger.

That makes sense !!!

Thank you ... feeling embarrassed now ...

nostr:npub1nadtggdgf58wx4jjyu7x0ajkx94h873syn8mlt5jnmqgl600texsk42adz Close to the horizon there are atmospheric effects that screw with the numbers, so while I agree with your intuition, your evidence is not as convincing as you might hope.

Distance to the Moon is about 390 Megameters, time to orbit is 27.32 days, so speed in m/s is:

D*2*pi/T/86400 ~ 1040 m/s

Diameter is about 3500 m, so time of occlusion is:

3500/1040 ~ 3.36

More accurately, diameter ~ 3475m, hence

3475/1040 ~ 3.34.

Seems low to me.

Can someone check my answer:

Does the Moon travel it's own diameter in about 3.34 seconds?

(Relative to the Earth)

So if it passed directly in front of a star, does it only take 3.34 seconds for that star to reappear on the other side?

Working to follow ...

In about half an hour, #UK_ISS #ISS pass, starting at 21:22:15, duration 130 secs, bright, Magnitude -2.5

Some passes of the #ISS visible from the UK overnight - I'll post alerts closer to the time - #UK_ISS

Whiteboards are remarkable.

Some passes of the #ISS visible from the UK overnight - I'll post alerts closer to the time - #UK_ISS

I recently decided to sell my vacuum cleaner - all it was doing was gathering dust. -- Tim Vine

nostr:npub15wp53f6vfvr88zwg8jep4evdpjwl6exxpzfd7uwgxp2rxszcgdts993a95 nostr:npub1cn9fsandgc6nfkdq8sqr9szh0x5djdce3pkgy8f6enxqnxwzx8ssax9nha Best explained with a picture, but can't do that now, so here's a description.

Take a square, mark the centre, cut out the triangle between the centre and the bottom edge. Glue that onto the right hand side to get an irregular hexagon that I think is vaguely an abstract cow.

Got that?

So the resulting shape, the cow, has a classical two piece dissection where the pieces can be assembled into a square. After all, that's how the cow was constructed.

So ...

Find a *different* two piece classical dissection of the cow where the pieces can be assembled into the square.

Do not give it away !!!

DM me if (or when!) you get a solution.

Someone at nostr:npub1cn9fsandgc6nfkdq8sqr9szh0x5djdce3pkgy8f6enxqnxwzx8ssax9nha solved the cow problem!

Simultaneously impressive, exciting, and depressing ...

#TMiP23

The biggest waste of time is to do well something that we need not do at all. -- Gretchen Rubin, 'Better Than Before'

"The Golf Ball Paradox": throw a golf ball (or squash ball) into a cylinder and it pops back out (without touching the bottom)

Video by Steve Mould:

https://www.youtube.com/watch?v=5sbM2Isx17A

Mathematical analys:

(1) "Golfer's Dilemma", Marco Gualtieri et al, June 1 2006, American Journal of Physics, https://doi.org/10.1119/1.2180281

(2) "On a simple formulation of the golf ball paradox", O Pujol et al, Feruary 27 2007, European Journal of Physics, https://doi.org/10.1088/0143-0807/28/2/024

nostr:npub1z2qdmfzhs2uwg8kmsh37xavt2hq48gch63e787ggd3s6mt8waxgsxu3yuf I thought this would interest you.

nostr:npub1uhnx67vlf04mwtt7qrjyx47gpmtf3twz4nrfmx9lspw6rrv5gkhsv42f8t Nice one ...

I like all of Steve's videos, they're really good.

Q: What do you get when you cross a mosquito with a mountaineer? A: Nothing - you can't cross a vector with a scalar.