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Pancake Physics to Cut Batter Splatter
Anonymous Coward writes "The headline just about says it all on this one. A physics grad student in the UK has come up with the mathematical formula for how to flip a pancake and have it land correctly back in the pan. The BBC
has the details."
His secret is revealed: The angular velocity of the object equals the square root of Pi, times the gravity divided by the distance the pancake is from the elbow times four - that is how to get the pancake back in the pan.
Seriously, mimicing real life movement in mathematical forumla is a tough one (that's why we don't see any battlemechs walking around, or tons of popular robots in every house hold.
--------
Free your mind.
Americans should bear in mind that what are called "pancakes" in England are called "crepes" in America. What are called "pancakes" in America are called "Scotch pancakes" in the south of England, and "drop scones" in Scotland and the north of England. Meanwhile, "flapjacks" are a kind of oaty biscuit. Confused yet?
GROGGS: alive and well and living in
It will make sure the pancake will land back in the pan, as long as you understand the formula.
Understanding something does not equate to being able to do it.
I understand how a plane flies, but I can't fly one.
MmMmm... Pancakes...
Nevrar
But then I use a spatula
Jason
ProfQuotes
But since most of us geeks are pretty inept when it comes to anything physical, I still think my pancakes gonna land on the floor, no matter what formulas I apply.
Now if we could only have some kind of a pancake flipping robot.....
"Entropy is the bad-guy, and he is everywhere"
"A pancake in the UK has come up with the mathematical formula for how to flip a physics grad student and have him land correctly back in the pan. The BBC has the details."
I am British BTW, so that means I think pancakes are pancakes, not those HUGE dripping in syrup (I wonder why Americans are overweight) batter mountains that you in the US eat ;-)
p.s. I'm joking, taking a rise... I love US based pancakes although I've only ever eaten them in Haiti at the Villa Creole. But it's a statistical fact that the average American is overweight and I'm sure all this oversize stuff you do is the cause of it.
Conversion Rate Optimisation French / English consultant
If you butter both sides, will it land on its edge?
A better question, what if you butter the edge as well?
Not sure about other countries but last Tuesday (4th) was Shrove Tuesday in the UK when we all make pancakes. For the religious amongst you the word 'Shrove' refers to the practice of confessing of sins, then afterwards the fast of Lent could be considered a penance of faults committed. Thats why the BBC ran the story on Tuesday. However, most of us just love eating the pancakes!
-- "Can't sleep, clowns will eat me!"
There is a serious game (with tournaments and all) which is somewhat similar to this. It's called tiddlywinks
So no problem for most geeks then...
Is that Hans Blix in the article's photo? I long have expected the UK to be in possession of a proscribed pancake making machine able of launching a pancake in excess of 150km. In other news, Rumsfeld demands accounting for 1.5 tons of missing pancake batter.
... is what I want to know. ... sportsmen. Um.
These guys wouldn't know their elbows from their asses, the way it sounds. "It's all in the wrist" is a rule well-known to tennis players, golfers, and come to think of it, other, uh
I'll stop my rant there, I think.
yes, we have no bananas
AFAIUI it simply means that the pancake needs to spin at such a rate that it will flip 180 degrees between leaving the pan and returning. Given that it will not fall back flat unless the flip is 180n degrees, n integral, this is pretty blindingly obvious.
Unfortunately, the equation is just that and doesn't tell you how to achieve flip rate nirvana. So here is my guide:
- First, use a nonstick pan with a gently sloping edge.
- Second, use just enough oil to ensure the crepe can slide around smoothly.
- Third, in order to flip, start by lowering the far edge of the pan so the crepe starts to slide towards the edge.
- Then, as the crepe reaches the edge, rotate the elbow upwards so that the crepe slides off the edge in an upward direction. This provides the spin. The speed doesn't need to be too high. As the crepe flips over, catch it with the pan horizontal.
- Start with small crepes and build up.
- When I was first shown this technique in a creperie in Normandy, by the end of the evening I could flip them up to ceiling height and still recover them.
Creperies that use precooked crepes made on industrial conveyor belts are of course beyond the pale.Panurge has posted for the last time. Thanks for the positive moderations.
I think you meant:
In Heaven, the police are British, the lovers are Italian, the cooks are French, the engineers are German, and it's all organized by the Swiss.
In Hell, the police are German, the lovers are Swiss, the cooks are British, the engineers are French, and it's all organized by the Italians.
They do research on pancakes, moon mining, curry (chicken tikka masala is the national dish) and other inane "foreign" things. But when it comes to making an Operating System or even choosing one for their schools, they simply turn to America and say, "Give us Microsoft". Amazing.
If you keep throwing chairs, one day you'll break windows....
Sure, knowing the formula is exactly the same things as being able to do is, but didn't anyone else notice that they didn't actually give this "formula" that they claim is so important?
I'm an American. I love this country and the freedoms that we used to have.
Shouldn't that be, "A pancake IN SOVIET RUSSIA..."? :)
They that would sacrifice their
Will IHOP use this new technology?
The following statement is false.
The previous statement is true.
Welcome to my world.
On shorve Tuesday I did try my best to flip pancakes the traditional way I found that I can't flip. What I really needed was something like the JML all american pancake maker. Bascially a frying pan with a lid that you can turn over. Now that would be cool
Rus
- Who really needs his first cup of coffee -
Cheap UK and US VPS
...although less spectacular
l
http://web.mit.edu/newsoffice/nr/1995/40409.htm
ok this is geekland! Somebody provide a reference rather than "your nation stinks more than my nation!" (oh ok it is /. I spose).
Come on then, somebody dig up stats, are the good people of the US the fattest in the world? or at least how do they compare with UK, and Oz, and say the French and Italians, and err, I dunno, some other non Western country, Japan? Egypt?
I'd love to know where the USA is on an international scale, say of % of inhabitants overweight...
I tried flipping a pancake, Once.
The ensuing mess encouraged me not to try it again. (Nothing ruins the meal more than cleaning up a half-cooked pancake off the floor)
If these guys can come up with some sort of mess free "practice pancake" kit with detailed instructions that can be read without a degree in math. I would be very interested.
if I ever get another story rejected by slashdot, I'll shoot myself
The 'right' way?
Like everything else, the right way isn't defined by some sort of educational institution.
Does your method produce edible and tasty omlettes and pancakes?
Then it's the right way, and damned the line cooks.
It's not the oversized portions.
It's the fact that we're lazy pigs, waddling in our own mess. (Yeah, I'm an American, I'm allowed to say that.)
We sit at desk jobs from nine to five, then drive three blocks home from work in an SUV, and sit on the couch, or in front of the computer. Finally, we go directly to bed. Do not pass Exercise Bike. Do not burn 200 calories.
Apparently this guy isn't the only one interested in pancake flipping. Take a look at this paper entitled "Bounds for sorting by prefix reversal" (AKA Pancake flipping problem) co-published by one William H. Gates...
fnord
Furry cows moo and decompress.
Oh yes, and if you look in your history books you'll find that C owes a lot to a certain language called BCPL developed by Martin Richards at Cambridge University in the 60's ...
How to help people to kill other people. Nothing personal, you understand. This is just for the money.
4 26 ,00.html
http://www.guardian.co.uk/Iraq/Story/0,2763,908
hmm . . . I notice that this formula does not factor in mass of the pancake. this makes me wonder, being not-so-smart in physics, would this formula apply for any size pancake?? and how about objects other than pancakes? could I flip say, a thanksgiving turkey and still have it land perfectly in the pan, using this formula??
and why do Scots like cheese in their pancakes?? don't they know the proper way to do anything is the American way, i.e. sugar and syrup??
Bored and tired minds want to know!!
All I ever wanted was an honest week's pay for an honest day's work.
This is one of the least trollish comments I've read on this thread (though that isn't saying much). This guy just described my life spot on. I'm neither American nor fat, but in both cases I can only thank my parents. There but for the grace of god go I.
Considering this is an article about one of the many traditional annual face-stuffing days westerners celebrate, it's hardly trolling to point out how many people have, or think they have, no time to get any excercise.
Stressed-out, over-fed, under-excercised = early death. The solution is not to diet (=less food, but more stress and still no excercise), but to get plenty of excercise (helps with stress, and you can eat all you like because your body turns it into muscle or motion rather than fat).
In my final year at university, I quit smoking and started swimming just under a mile four times a week. It was the best six months of my life - I was relaxed, I had plenty of energy, muscles even started appearing! Then the exams came along, followed by life as a code-monkey, and here I am smoking, lazy, stressed and eating like a vacuum cleaner. Time to resurrect that lapsed gym membership, I think.
"The Milliard Gargantubrain? A mere abacus - mention it not."
Well, where I come from, we don't use no spatulas to toss pancakes... (Although some more cautious people do slip them out of the pan onto a plate, then drop them back in upside down.) English pancakes are so wide and thin that a spatula's likely to just tear them. Instead you have to use the showing-off-method.
;-)
First you make a circular movement with the pan to ensure that the pancake hasn't stuck and overcome static friction.
Then you tilt the end of the pan down slightly and make a short, sharp inward movement, to get the pancake sliding outwards.
Then you sharply flick the pan up, so that the pancake goes between one and two feet in the air (more if you're feeling cocky) and also spins enough that it lands in the pan the other way up.
I'll be very impressed if they invent a machine which can repeatably toss pancakes. There are an awful lot of variables, which he seems to ignore. But then he is a physicist, not an engineer.
I asked a (native) British collegue about it, and this was his reply:
Ahh the wonders of pancacke day or as the French call it Mardi Gras Fat tuesday. This is the day before the start of Lent (crazy Christian starvation festival, preparing mind and body for the Easter celebrations etc). Typically people used to use up all their fatty things on this day such as butter, eggs and lard etc, coz it was not the done thing to be eating lard cakes when everybody else was eating celery.
Thus the pancake tradition started. Of course, all the religous nonsense has largely disappeared but the pancakes remain in British Culture.
As far as the tossing equation goes, thats just the work of a whacked out English ale swilling academics, and is an essential part of British inventiveness and ingenuity. (You can't make great discoveries all of the time)
Hope that helps and thank you for your interest in Britain.
:-)
"Fix it? It has been disintegrated, by definition it cannot be fixed!" - Gru in Despicable Me.
I do believe it is time that someone introduced Europe to the concept of the 'spatula'. We sort a solved this whole pancakes on the floor dilehma a looooooooong time ago . . .
You know what? While we're at it, let's give China forks and spoons.
I mean, don't you have to factor in the surface of the frypan? What about teflon versus some tatty old iron pan? Did they butter or oil it first and if so, how much?
What about the consistency of the batter and the right moment at which to flip it? I'm no Pancake Scientist but I bet a realllllly runny pancake is more likely to splatter the ceiling than one with the fluid dynamics of week-old oatmeal
A "conundrum that has taxed pancake flippers since the dawn" (dawn of time, or yesterday morning?) needs a rigid set of controls in place!
Maybe they need to determine the perfect recipe before firing up that stove?
oh well, back to the chopping board...
I know this is really off topic, but it is on, if the topic is "reasonibly absurd science". In Nature last December, they decided to publish a short note about an Austrailian matehmatician's work on The Best Way To Lace Your Shoelaces
No joke.
BBC has something -- color commentary might be the best description. But to say that the linked BBC article has the details is just plain wrong.
...You really do need to use math every day.
Mmmmmm......
Go here to create your own Slashdot dis
He didn't calculate exactly how much butter and Canadian Maple Syrup to put on these pancakes when they have been flipped so exactingly. :D
*Hmm it's 5am here where I type this, maybe I should go make some 'cakes for breakfast!*
You must master your joystick like a fisherman masters bait! - Gimpy
And, as a pilot, I suggest that most people don't have a clue how a plane flies until they learn how to fly one -- even if they're familiar with the underlying physics. I spent several months reading about aircraft operation and theory before starting flying lessons. I could recite entire sections of the Aircraft Flying Handbook from memory, but my first hour of actual flight proved how little I knew.
Every day they sit and worship a device invented by John Logie Baird, a Brit.
"I am not bound to please thee with my answers" [William Shakespeare]
It's actually easier (unless you have a very heavy pan, or geeky small /.-muscels) to flip the entire pan _with_ the pancake still innit.
Of course we have spatulas. How else do you think we scrape the ice off our cars on cold winter mornings?
This post contains benzene, nitrosamines, formaldehyde and hydrogen cyanide.
But I'm not sure that we are convinced enough to make Spatula City successfull in Europe.
If you still think we should use spatulas, why don't you send a Virtual Spatula to prove your case.
You shouldn't use eggs for 95% of the training. Put a piece of toast in the pan and flip it until it lands gently. Also with good technique for eggs (over and omlettes), the first part out of the pan is coming back into about the middle of the pan before last part has left the pan. This avoids the impact onto the pan that can cause yolks to break and splatter of butter/margarine/etc.
A former line cook and now a software engineer.
Maybe these scientists would have been better off taking a couple classes in cooking and spending time with their families having dinner parties.
Ah hah! Now we know who has been posting as AC for all these years!
Everyone knows the best, and really the only way to eat a pancake is with maple syrup. And I'm talkin' pure 100% straight from a little indie sugar shack in Quebec kind of maple syrup. None of that store bought junk that's only 15%(sometimes 0%) maple syrup. What do they think we are? 15% kids? We want 100% syrup for 100% kids
And That's My 2 Cents, Eh!
Anthropic principle: We see the universe the way it is because if it were different we would not be here to see it.
There is something seriously wrong with the education system when a grad student gets a masters in physics for writing a thesis on flipping a pancake.
What's next? Maybe, for his doctoral thesis, he should write a formula for the proper amount of syrup to be used based on it's rate of obsorbtion by the pancake.
huh huh.... yeah that was cool.
...but the english tend to use gallons of lard when cooking at home...
I'm English and (unsurprisingly, as I live in England) so are most of the people that I know. There isn't any lard in my house. Or, from what I've seen when eating at friends' houses, anywhere else.
The supermarket aisles devote about 50 times more space to butters and margarines than they do to lard, so that suggests that demand for lard isn't exactly huge.
Perhaps, like all Frenchmen having smelly breath or all Australians being called Bruce, this is one of another one of those urban myths that you Americans have bought into?
(BTW, "Lard! Eat this Shit and DIE!" is a reference to the late, great, Bill Hicks. Great comedian. Great loss.)
"Accept that some days you are the pigeon, and some days you are the statue." - David Brent, Wernham Hogg
We just missed International Pancake day! This would have been great for the race!
His theoretical work laid the groundwork for students designing a pancake-tossing machine, which could one day become a feature in every home.
Or it makes it into the next edition of this.
Someone is wrong on the Internet!
I am happy to see that someone has finally put mathematics to good use! This is a helluvalot better than perfecting atomic bomb efficiency.
Yeah, but that means he will be more accurate by roughly 5% because he won't be assuming that pi is 'nearly' 3 ;-)
-WolfWithoutAClause
"Gravity is only a theory, not a fact!"thats some flippin impressive maths! :p
[DUCKS]
Karma: NaN
Sorry, but the dimension of "the square root of Pi, times the gravity divided by the distance the pancake is from the elbow times four" equals the angular_acceleration_and not the angular_velocity_! Do the math ;-)
I've read this before and discarded it. Try this as a simple proof that this guy has missed the point. Take a sheet of normal paper, hold one edge just below your lips and blow. You will see the far end of the sheet rise up. This is without any pressure on the underside of the sheet. Now blow equally hard on the underside on the paper. You should see the paper rise but by a smaller amount. What the author of the article you quote missed was that the "sucking" force he explained as simply a difference in pressure between the upper and lower surface, is in fact the result of a partial vacuum on the upper surface caused by the innability of the air to expand fast enough. Clearly you have just proved this to be the case, as when you blew over the upper surface there was no additional pressure on the lower surface. OK technically there is no such thing as suction, just as is there is no such thing as centrigual force, but the upward force we call lift is greater than the change in momentum of the air beneath the wing. The author is correct that there is no such thing as suction, however he is wrong to suggest that the upward pressure comes from the motion of air under the wing. It comes from the expansive tendancy of air and the fact that air is a gas under pressure. Relieved of the weight of the atmosphere pressing down it will press outwards in all directions including back up under the wing, thus lifting the aircraft. It is worth noting that this effect is due to the compressibility of air, which is why aerofoils work differently to hydrofoils, as water is not compressible. One more thing, try explaining aerodynamic stall without assuming that the majority of lift is due to the shape of the upper surface.
You can't win Darth. If you mod me down, I shall become more powerful than you could possibly imagine
I wouldn't exactly say the buffet line at a vegas casino is typical america ... think about it if your in really good physical shape are you going to be pigging out at a vegas buffet?
we'll be reading a PhD* dissertation on the physics of flipping hamburgers.
*piled higher and deeper
ObJoke! "I'll bet you guys are excited" said the cabbie as he drove the students to their graduation ceremony. "I know I was when I got my PhD".
try { do() || do_not(); } catch (JediException err) { yoda(err); }
I must patent this, as I've been doing it like that for years. Though my method also involves a webcam, a bowtie and some body lotion.
Comment removed based on user account deletion
And they say art is dead, they obviously haven't seen what concerns physics grads are having to delve into to find something that hasn't be rehashed a million times.
Pancake Algebra
not quite the same, but thoroughly enjoyable !
Francis.
Attitude by working it off(labor/exercise) or using dietary supplements
Respect by this means: you show me you care for me by looking physically attractive to me; so as a bonus to our friendship, other people want to hang with us and are attracted to us in public.
Yell & scream & rant & rave... it's no use... you need a shaaaave ~ Bugs Bunny
Try dropping a pancake (crpe to Yanks) and and a melon at the same time. Which one hit the floor first? Oops. try it in a vacuum next time.
So if you are cooking in a vacuum, the formula applies equally well to pancakes, melons, and thanksgiving turkeys.
If you are cooking at atmospheric pressure, you will have to correct for air resistance (quite significant for a pancake).
I for one LOVE splattered pancakes. They cook up so much crisper on the lower edge. In fact, I've been flipping early for years just to get this effect.
Hey freaks: now you're ju
What is "confectionary sugar"? Please translate in to en_GB for me. Thanks.
(sqrt(pi)*1g)/(d*4)
Where g is the accelleration due to gravity and d is the distance from the elbow to the pancake.
In addition to the rather obvious (or at least intuitive) flaw of not considering the size/mass of the pancake, this formula cannot possibly produce the value claimed. Dimensional analysis shows that it results in an answer measured in terms of radians per second squared, and angular velocity is always measured in just radians per second.
Of course, if they *meant* to say angular accelleration, they should have said so.
File under 'M' for 'Manic ranting'
Okay, I've got my robotic arm with elbow-joint, I've got my frying pan, and I've got my crepe sitting inside. I want to know how much force I should tell the arm to use to flip the thing, but I don't see that in the equation anywhere. Is it implicit somehow in the angular velocity term? Help me build my robotic pancake-flipper!
I'll be very impressed if they invent a machine which can repeatably toss pancakes. There are an awful lot of variables, which he seems to ignore. But then he is a physicist, not an engineer.
The formula as reported by the BBC cannot possibly be correct, since it claims that angular velocity is equal to a quantity that has dimensions of time^{-2}.
icing sugar?
Don't they call that "powdered sugar"?
I know all the digits to pi in binary. But I do admit the same problem - I do get the order mixed up a bit.
Icing sugar.
We used to just put TONS and TONS of regular granualted sugar on the pankace and roll it up.
No wonder I had so many cavities....
If you don't want to repeat the past, stop living in it.
...how you'ld ever use math in everyday life. Oh those crazy Brittish...
not in the uk we don't. ;)
I know that, I'm a Briton. I'm referring to the Americans ;)
Heck, England is where Professor Branestawm (sorry, Amazon doesn't list any of the original books) invented the pancake making machine. As I recall, it went awry and tossed 24-inch pancakes about 30 feet away.
https://app.box.com/WitthoftResume Code: https://github.com/cellocgw
In Soviet Russia, pancake flips YOU!
thanks
--- I am known for the ones who want to find me on the net. Is that a privacy risk or a privilege? One might wonder..
All the cool people are still using miles, at least! Even the British are still using miles per hour! Get a clue, you dumb fucking Canadians!
-ts
But then he is a physicist, not an engineer. ;-)
Assume a cylindrical pancake of uniform density...
- First you make a circular movement [...]
- Then you tilt the end of the pan down slightly
- and make a short, sharp inward movement [...]
- Then you sharply flick the pan up
- so that the pancake goes between one and two feet in the air [...]
Thank you, both for the pointers and an approximation of what they formula should be rearranged to give.
The formula expressed in the article purports to give you the angular velocity of the pancake. Perhaps useful as one step in the process of computing how to build a flipping machine, but NOT the whole story even for a machine design, and definitely not what you need for training a human.
And the formula is clearly wrong, since g shouldn't be in it if you're going for angular velocity - unless you're solving for the angular velocity needed at launch to get the pancake back into the pan (in which case r shouldn't be there). So something in the article's description is wrong (though perhaps the original research was correct).
What I'd like to see is a function giving the target height for the top of the pancake's arc in terms of the radius from pivot point (probably elbow) to the center of the pancake (and possibly also parameters for the mass and diameter of the pancake if air resistance is significant.
It's a lot easier to target a particular height-of-toss than some other control parameter (such as speed), and the height will vary with the individual flipper's arm-plus-pan length.
Since the pancake has to land back in the pan the toss has to be close to straight up, which puts the pan about horizontal at launch. There will be some small inward motion from the air resistance, because the up and down trip have the 'cake at opposite angles to the wind, which might be compensated for by outward motion from sliding on the pan during the angular swing of the launch.
Bantam Dominique roosters crow a four-note song. Once you've heard it as "Happy BIRTHday" you can't NOT hear it that way
And the formula is clearly wrong, since g shouldn't be in it if you're going for angular velocity - unless you're solving for the angular velocity needed at launch to get the pancake back into the pan (in which case r shouldn't be there).
Oops. I take that back.
g, r and omega should all be there to let you solve for time-of-flight from angular velocity. So rearranging should let us solve first for circumferential velocity, then for flight time, and finally for height-of-throw, giving the formulation I was after.
Bantam Dominique roosters crow a four-note song. Once you've heard it as "Happy BIRTHday" you can't NOT hear it that way
Please, that has already been done. http://www.uwstout.edu/ur/np/2000/feaauto.html
Now getting a robot to play ping-pong (table tennis) is a real challenge. That feat, however, has already been done. See http://www.ifr.mavt.ethz.ch/photo/indrobotics/ as an example. I don't think that's the robot I remember seeing, but it is an example. Combines computer vision and robots. Also, because it is such a huge factor, the algorithms have to take the ball's spin into account.
What is "confectionary sugar"?
Powdered sugar as opposed to granulaged sugar.
About the consistency of flour as opposed to table salt.
Used to make icings and such.
In the US it's called powdered or confectioners sugar.
I guess it depends on your ancestory and region of upbringing.
For instance I eat my grits salty with cheese. A more Southern style then others from the north would eat, they enjoy them with syrup or sugar.
Yet I take my iced tea unsweetened like most northeners, meanwhile southerners like Iced tea to be sweetened to the point of pain.
Southern iced tea is like Thai iced tea but without the milk.
I blame my mother for this.
Is it the English or the French who put milk in hot tea? I ask because I have ancestors from both countrys and I enjoy it from time to time.
Does that make Chai a India thing or was it a British creation using Indian tea?
Well I've wrestled with reality for thirty five years doctor, and I'm happy to say I finally won out over it.
He hasn't missed a single one that he attempted to get. *seriously*. and there's a secret to it too. TB's told me, personally.
What are grits?
;) An Indian fella once told me they drink their tea hot with milk in India too, even in the middle of their steaming summer - it's supposed to be one of the most refreshing drinks. No sugar is added as that isn't so refreshing, and besides many of us find that revolting too!
The English drink their tea with milk. I think tea with cream is revolting, and many agree
I don't know much about the history of tea, but a summary can be found here. The only thing I know about Chai is that it's the fancy spiced stuff in Indian restaraunts. Oh, and some friends from northern England call ordinary tea "char", which I think is related to the Indian name.
1. Have no life
2. ???
3. First post.
Grits are a corn product.
This link should explain them better then I can. However, it is from the view of southern US cooking.
India and other countries along the more uncomfortable tempriture regions of the world tend to serve more spicy and phisicaly hot foods. They make you sweat, and when you sweat in that climate your body can ditch some heat from the evaporation of the water.
I usually take my hot tea with honey, but I don't usually drink black teas, I drink a lot of herbal mixtures and green teas.
Char is Chinese for tea.
Well I've wrestled with reality for thirty five years doctor, and I'm happy to say I finally won out over it.
1) Hang-time of the pancake:
2)Time for a 180 degree flip:
3)Starting spin condition:
4) I can substitute equation 3 into 2 to get:
5) The pancake radius cancels out!
6)Then, I set the two times equal to eachother, because we are looking for the time to flip to be exactly the hang-time:
7) Solve for angular velocity...
8) The condition at Launch is
9) So, by 7 and 8, (substituting V)..
10) which is the same as
This result is just a clean factor of two off from the article. I'm very suprised that I can put together enough physics to derive something that is apparently so newsworthy!
now someone help me find the mistake!
Raisinettes are my raison d'etre
of British Culinary Physics. In addition to this article, learn:t m
. stm
/ 62724340/ p1/article.jhtml
why a dunked biscuit falls apart in a cup of tea
http://news.bbc.co.uk/1/hi/sci/tech/462987.s
(Univ. of Bristol)
why tea dribbles down a teapot's spout
http://news.bbc.co.uk/1/hi/sci/tech/227572
(Univ of East Anglia)
and why bubbles rise in a pint of Guiness
http://www.findarticles.com/m1200/19_157
(o.k. the researchers are Aussies, and Guiness is Irish.... both were or are part of the British Commonwealth anyways).
Karma? mostly affected by posting to articles that are almost a day old. Danged time-zones
well, its about time that damn cook learned to do the math right.
Well, if learned your math in school, you wouldnt have to waste 100-200 eggs practicing how to flip eggs now, would you? All you'd have to do is learn that formula and filp it perfect everytime.