Using an Out-of-Control Car to Calculate π.
Ойын-сауық
Happy Pi Day: 14 March 2023. (Yes, the video goes out a few days early. So teachers have time to plan their Pi Day activities.)
Huge thanks to Eric and the whole team for letting us in to skid some cars and calculate pi.
It was an active and working site and they did a great job making time, staff and cars available for us.
If you want to learn more about traffic reconstruction calculations, check out this (slightly odd) 1983 book "Handbook For The Accident Reconstructionist". www.ojp.gov/pdffiles1/Photoco...
If you want to sign-up and hear about Pi Day 2024 plans, here is the form: bit.ly/piday24help
Huge thanks to my Patreon people who support all my silly Pi Day videos with their irrational funding. Join in and we'll make Pi Day 2024 bigger and sillier. / standupmaths
And sorry I could only put the names of Statistically Significant and higher Patreon tiers on the scrolling credits. A bunch of that was done by hand and that was the limit of what could be lined up.
CORRECTIONS
- If we had used 26/38 exactly were would have π = 3.136421 which is basically 3.14 (First spotted by CK.)
- Let me know if you spot anything else!
Filming and editing by Alex Genn-Bash
Pi Reconstruction by Eric
Stunt Driving by A Colleague Of Eric's
Location provided by Like We're Going To Tell You
Extra help by Why Are You Asking So Many Questions
Written and performed by Matt Parker
Credits Animation by William Marler
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/bo...
Пікірлер: 1 200
UPDATE: If we had used 26/38 exactly were would have π = 3.136421 which is basically 3.14. (I stand by my 3.12 but I am kicking myself.) Yes, yes, it's not Pi Day for a few more days. As always: I try to get the Pi Day video goes out a few days early so teachers have time to plan their Pi Day activities. And leaving it until Monday next week felt too late. So, ah, what are we all doing for Pi Day this year?
@jackeea_
Жыл бұрын
I'll be wondering what's so special about 14.3!
@legofan2284
Жыл бұрын
Given pi = 3.112, the viedo release isn't that badly timed
@SoftwareSimian_
Жыл бұрын
Calculate pi by pi day release dates.
@hallohoegaathet7182
Жыл бұрын
On π day i am going celebrate my birthday
@TheDoh007
Жыл бұрын
I'll probably be giving pepper to a friend xd
Every time someone says "we can ignore" or "lets not worry about", an angel takes away a digit of precision.
@murk1e
Жыл бұрын
Fortunately ♾️-1 = ♾️
@ultimateo621
Жыл бұрын
Nice
@Rabbit-the-One
Жыл бұрын
Let's not worry about that though.
@Rabbit-the-One
Жыл бұрын
@@murk1e where'd you get that fancy infinity? Is that like a deep cut emoji near the bottom? All I have is the ∞ from the = long press.
@Raulxz
Жыл бұрын
≈
Fun fact: It's important that the undisclosed location was in North America. Due to the Coriolis Effect, skidding cars spin in the other direction in Australia/South Africa/etc.
@DavidGuild
Жыл бұрын
Somewhere out there, someone believes you.
@andrewdescant
Жыл бұрын
Fun fact you need to use the chiral version of Pi in the southern hemisphere
@bsharpmajorscale
Жыл бұрын
What happens with skidding cars at the equator, then!? :P
@jacksonpowers4459
Жыл бұрын
@@bsharpmajorscaleCars do not spin at the equator.
@bsharpmajorscale
Жыл бұрын
@@jacksonpowers4459 That's what I thought, but I wanted to confirm it. Very linear.
Fun fact: The value of pi for 2023 matches the one for 2019 to three decimal places. 2019: pi = 3.11791 2023: pi = 3.11712
@oskarthompson3789
Жыл бұрын
The the real value of pi must be 3.117505 +- 0.49, amazing
@robertthompson3447
Жыл бұрын
How does this, not have more likes!?!
@nicholasvinen
Жыл бұрын
Good to know that pi isn't changing too rapidly over time. I hope next year most of the digits I memorised will still be correct.
@robbiemer8178
Жыл бұрын
@@oskarthompson3789 Come on. You know the real value of pi was in our hearts all along...
@randomizednamme
Жыл бұрын
@@robbiemer8178is that a suggestion for next year’s calculation?
After so many Calculator Unboxing videos, Matt still uses the phone calculator
@standupmaths
Жыл бұрын
The ability to screengrab is just too convenient! It's not for a lack of other calculators in my office.
@iamdigory
Жыл бұрын
@@standupmaths you gotta go hardcore and use a circular slide rule for pi day
@CaioTrinchinato
Жыл бұрын
Go abacus or go home! LoL
@Petch85
Жыл бұрын
Honestly, all youtuber's need merch and he already have Maths Gear so he should just bite the bullet and make he's own graph calculator and include screengrab. Maybe add spreadsheet capabilities and color screen for the graphs, use USB to charge the replaceable battery and have a nice keyboard and make sure that it can write the equations probably. There have been no new innovation on the calculator market since the mobile phone. I am still using my two old trusty voyage 200 and I think it is time for something new.
@PopeGoliath
Жыл бұрын
@@standupmaths maybe you could unbox a capture card for your calculators?
I'm imagining an xkcd based on this. "The pi button on my calculator is broken, so whenever I want to calculate the area of a circle I have to put my car into a skid."
Matt: Happy Pi Day But it's not Pi day yet? Matt: calculates Pi to 3.117, posts video at 3am on 0311 AU eastern time I stand corrected
@nitehawk86
Жыл бұрын
The other pi approximation day.
@the4spaceconstantstetraqua886
Жыл бұрын
Nice coincidence
@nomadMik
Жыл бұрын
As I say every year, π is closer to 22/7 than 3.14, so he's really just humouring his US viewers by posting the videos four months early. The fact that professionals are bumbling with feet and pounds and miles mean they may as well be using 3.12 for π in the US… or 7/22… 😏
@adamplace1414
Жыл бұрын
@@nomadMikyes, the imprecision of 0.3048 metres and 0.45359237 kg is the real problem..
3.1023 is quite the Parker approximation of pi
@scottmclaughlin1410
Жыл бұрын
I was just wondering what he was saying that for
@Neefew
Жыл бұрын
It's definitely closer than some of his previous approximations
Жыл бұрын
2.0230310 is quite close as well
@jessehammer123
Жыл бұрын
Huh? He estimated 3.117, not 3.1023.
@ArcheoLumiere
Жыл бұрын
@@jessehammer123 r/woosh
You would've got 3.136 if you didn't round 26/38 as 0.68 13:15
@standupmaths
Жыл бұрын
OH DANG YOU'RE RIGHT
@cragonaut
Жыл бұрын
What would happen if the 15 approximation hadn't been used in preference over the real value?
@ratboy2713
Жыл бұрын
I'm waiting for the day when Matt discovers significant digits and stops prematurely rounding everything off
@ncrshane1919
Жыл бұрын
@@cragonaut Punching it in with 14.962 instead of 15, and going with the better 0.684 coefficient of friction gets you pi as 3.128 rounding to 3 decimal places.
@wertacus
Жыл бұрын
@@ratboy2713 that comment made me laugh so hard! The irony 😅
How my brain viewed Matt's drawing: 2:26 Car from above 2:28 Car from side (I expected a round view of the tire) 2:40 I think Matt has gone insane before finally realizing it's a head-on view (or a rearview tbf, is a rearview a head-off? 🤔) Keep up the vids, interesting as always :)
@RMDragon3
Жыл бұрын
Same!!
@bcpatter68
Жыл бұрын
Ditto!
@texasranger7687
Жыл бұрын
Same
@hypoaktivnaovca
Жыл бұрын
No, a rearview is a mooning 🙃
@BTGTB
Жыл бұрын
I was doing the same thing.
Looking forwards to "calculating pi by taking the average of all the times I've calculated pi"
@wynoglia
Жыл бұрын
It'll be glorious in 20 years time
@vigilantcosmicpenguin8721
Жыл бұрын
The series of values of Matt's calculations diverges to pi.
@Huntracony
Жыл бұрын
Average is easy. I want the most likely value of pi assuming the guesses follow a normal distribution.
@sarahgargani5836
Жыл бұрын
i was curious to see what his current average is: 3.186.
So, when is Matt going to use his previous approximations of pi to calculate pi again? By the way, not using the simple average way. Rather, treat his values as normally distributed and calculate pi by reconstructing the Gaussian curve and solving for the area under is as sqrt(pi)
@PopeGoliath
Жыл бұрын
I'm here for it
@freshrockpapa-e7799
Жыл бұрын
How exactly does your method work? You can't reconstruct a gaussian curve because you only have the observation, not the probability of getting each observation
@cinemaker321
Жыл бұрын
@@freshrockpapa-e7799 I think they may be talking about Maximum Likelihood Estimation (MLE). There are some good videos explaining on it on YT.
@freshrockpapa-e7799
Жыл бұрын
@@cinemaker321 that would result in the same pi estimation as just making the average...
@Houshalter
Жыл бұрын
Probably a log normal distribution. Maybe even something weirder since some calculations get lots of digits and some very few.
Folks, find yourself someone who looks at you how Matt looks at 3.117
Pi Day is like Groundhog Day, except instead of setting the start of spring, we're setting the value of pi for the year.
@nitehawk86
Жыл бұрын
Also its like the movie Groundhog Day where we keep doing the same thing over and over (calculating pi), and things going wrong.
@Horseshoecrabwarrior
Жыл бұрын
"Okay everyone, this year pi is equal to four!" *A roar of complaints and cursing from mathematicians, engineers, and other pi users everywhere*
Unicar might be the most terrifying concept for a vehicle I've ever seen.
Next year, you should try using the buckling equation. It gives the maximum load that a column can support before buckling. F = pi^2 * E*I / L^2, where E is the Young's modulus (material property), I depends on the size and shape of the cross section, and L is the length. The equation is slightly different depending on how the two ends are supported. There are also the beam bending equations which relate the displacement of a cantilever beam to the amount of force applied (displacement of the end = F*L^3 / (3*E*I) ), so if you don't have E and I, you can calculate (E*I) from displacement of a cantilever beam and plug it into the buckling equation. I just ran an experiment with angel hair pasta, where I measured force vs. displacement of a bundle of 20 angel hair pastas using a kitchen scale to calculate E*I (divide by 20 to get a single pasta). Then measured the buckling load for individual pieces of angel hair of various length by pressing it onto the scale until it broke. My estimate for pi was 2.675, less than 15% error with only 6 trials. I can imagine a fun video where you have a bunch of students run the same experiment with different pasta (spaghetti, fettucini, etc.), and then bring in some heavy machinery to run it with metal rods/tubes.
@Salien1999
Жыл бұрын
My intuition says something a little less brittle would work better, but I could be way off. Regardless, that's an interesting idea.
@mikasa3427
Жыл бұрын
That equation is an upper bound and very sensitive to imperfections so it's always going to give you a large(ish) underestimate no matter how many times you run the experiment.
All those imperial units... *shudder*. Your sacrifice is appreciated, Matt
@paulcrumley9756
Жыл бұрын
In North America it was more likely "conventional units," which predate so-called "Imperial Units."
@Chris-hx3om
Жыл бұрын
No, they're North American units, which don't even match Imperial! 🤦
@ColinGLogan
Жыл бұрын
@@paulcrumley9756 Well, "predate" isn't the correct way to describe it - the introduction of imperial units occurred 1826, and that of the US customary system in 1832 - but yes, they are technically not directly related, both were separately derived from the prior "English units" system, albeit in very similar manners. My comment is technically wrong, so fair enough for the correction, but in my defense, I'm from the UK, so the bad units were always called imperial when I was growing up, and it was a joke lol.
@0LoneTech
Жыл бұрын
I was thinking maybe these wouldn't be the really bad ones (like hole gages). Then I checked... there's a factor 11 in the number of yards per mile, and it's 15% off from a nautical mile. WTF.
@josephmelnick3446
Жыл бұрын
What?! No scores of furlongs per fortnight speed measurements?!?! ... using Roman numerals?!?! ... in base 60?!?! ... in Braille?!?! Tsk, tsk, tsk.
If you use another decimal point of precision for the coefficient of friction you get 0.684, which yields an even better approximation of 3.135!
@akabami2161
Жыл бұрын
r/unexpectedfactorial
@SgtLion
Жыл бұрын
Snap
@freshrockpapa-e7799
Жыл бұрын
That's not how precision works...
@lboijens2173
Жыл бұрын
684
@phiefer3
Жыл бұрын
@@freshrockpapa-e7799 What do you mean? That's exactly how precision works.
Happy Parker-Pi day everyone!
@DotArve
Жыл бұрын
Parker-Pi = 3.1
@robertthompson3447
Жыл бұрын
I was wondering why this video was released early. 🤦♂️
@Dvard
Жыл бұрын
Happy Mario Day
"I think that might drag my average track record closer to pi" I can't wait for next year's video to be 'finding pi by averaging pi attempts'
I had wondered where the 'spherical cow' part would come in, then you explained that it is a single tire car. :D
@PeachCrusher69
Жыл бұрын
physicists after assuming planet Earth as a cube (it's close enough)
@TorutheRedFox
Жыл бұрын
@@PeachCrusher69 i mean the triangle wave on the NES is supposed to be "close enough" to a sine wave (it isn't)
@trulyinfamous
Жыл бұрын
@@TorutheRedFox it works better than a sine wave because of the overtones caused by the uneven jagged edge of the triangle. The NES triangle is meant for lower tones and goes out of tune quickly at higher tones, and low notes of a pure sine wave are very difficult to hear without good speakers. It wasn't really meant to work like a sine wave.
@MaryAnnNytowl
Жыл бұрын
@@trulyinfamous that's... a bit difficult to believe, as drastically different as the two are.
I'm actually a Volvo enthusiast so that car drawing works very well for me
@endersdragon34
Жыл бұрын
It's a Parker Car
@KSignalEingang
Жыл бұрын
They're Boxy, But They're Good
@ERNesbitt
Жыл бұрын
@@KSignalEingang Yes! Someone else who's seen that movie!
@MaryAnnNytowl
Жыл бұрын
@@KSignalEingang didn't that movie bomb? Assuming it's the one I think it is, of course. Dudley Moore as the lead, IIRC. It's been so freaking long since I even thought about it, I might be wrong.
@KSignalEingang
Жыл бұрын
@@MaryAnnNytowl I don't know how well Crazy People did at the box office, but I suspect more people know that quote than have seen it..which is a shame, it's a really funny film. (Ok if I'm honest most of the good jokes are in the first half. Still! Def'ly underrated.)
As a chemistry professor, not showing units during dimensional analysis is killing me! Love the videos
@nicholasvinen
Жыл бұрын
I refuse to follow SI advice to put a thin space between a number and a unit because I feel so strongly that the two are not separable.
@barneylaurance1865
Жыл бұрын
@@nicholasvinen I feel the same about numbers and currencies for sums of money. I'm always wanting to keep them together in an object when I'm working on computer programs - but a lot of programmers are willing to pass them around the program separately and just hope they'll always remember not to put a number together with a currency that doesn't belong to it.
@nicholasvinen
Жыл бұрын
@@barneylaurance1865 yeah, that's a recipe for mistakes. I agree that currencies are basically like units. The number without it has no real meaning any more.
@bluerizlagirl
Жыл бұрын
@@nicholasvinen I grew up with mechanical typewriters and then fixed-width fonts on character-mapped displays, i.e. not having any way to create a thin space, so it's natural to type the unit butted-up hard against the number even if that is not the way I would hand-write it. But I also think of the prefix as belonging more to the number than the unit. For instance, 170cm. can be thought of as (170 centi) metres, with "170 centi" being just a funny way of saying 1.7. (OK, this gets awkward with mass ..... we would have to rename the kilogram, and then the renamed gram would have milli in it, and maybe the cooks would be annoyed, which probably why it wasn't done before.) Casio calculators actually used to have an "ENG" button, short for "Engineers' notation" which would adjust the mantissa of a number upwards or downwards (depending if or not you pressed "INV" beforehand) to make the exponent a multiple of three and therefore align with a named prefix, e.g. 06 = mega, 03 = kilo, -03 = milli, -06 = micro &c. So if you get an answer of 5.89e-7 you can render this as 589e-9 or 0.589e-6. (And many other, less-sensible ways of writing it!)
@QuantumHistorian
Жыл бұрын
Technically, you shouldn't show units during dimensional analysis. Units are, though related, not quite the same thing as dimensions. Dimensions (in the context of dimensional analysis) are things like length, time, mass, while units are meters, miles, seconds, hours, kilograms, pounds, etc... So you can't attach actual numerical values to dimensions (because of the lack of unit), but the whole purpose of dimensional analysis is a sanity check that an equation isn't nonsense equating apples and oranges, so that doesn't matter.
Eric: "Surly somewhere there's Pi," Me: "There's always Pie, and never call me Shirley."
@samarvora7185
Жыл бұрын
Surely you can't be serious...
@mattb5816
Жыл бұрын
@@samarvora7185 They're not serious, they're Shirley.
@jackielinde7568
Жыл бұрын
@@mattb5816 Samar got the joke... and probably watched the movie, too. Gotta love ol' Leslie Nielsen
@samarvora7185
Жыл бұрын
@@jackielinde7568 I just wanna tell you both good luck. We're all counting on you.
@jackielinde7568
Жыл бұрын
@@samarvora7185 Looks like I picked the wrong week to quit amphetamines.
Should we update Pi Day to March 12th this year? We need to hurry and make the official announcement!
@nicholasvinen
Жыл бұрын
It's the 22nd of July, duh.
@SeanCMonahan
Жыл бұрын
π = 3.10 based on this video's release date
@MaryAnnNytowl
Жыл бұрын
@@nicholasvinen LOL, another day to celebrate maths? Let's do both! Both is good!
@nicholasvinen
Жыл бұрын
@@MaryAnnNytowl 22/7 would be a good day to celebrate approximations.
@rhialtothemarvellify
Жыл бұрын
Obviously, pi day is 31-4 (since there is no 3-14 because we have only 12 months)...
I somehow expected you to continue "testing track at an undisclosed location," with "...just off the A281 between Bramley and Bucks"
12:59 you know things get serious when Matt uses the Scientific Mode
Kudos to your guest for saying 'formulae'.
Oh man, I love the [undisclosed individuals] at [undisclosed location]. They're so friendly!
@vigilantcosmicpenguin8721
Жыл бұрын
They're very undisclosed.
Hey Matt, as an idea for pi day next year; the max slope of the lift coefficient for an ideal 2D wing is 2*pi.
@nicholasvinen
Жыл бұрын
So, Tau?
@bluerizlagirl
Жыл бұрын
@@nicholasvinen Depending which part of Greece they (or whoever taught them to speak Greek .....) are from, some people pronounce it Tav.
You really went "sphere in a vacuum" on this one and I love it.
Your videos made me love math!!! I catch myself teaching my daughter and little cousin math tricks and watching their brains figure it out looking off into space is the coolest thing ever. Matt you’ve inspired so many I feel it’s my job to pass the torch along. Keep making us say wow! Love your channel
When you pressed the equal sign I went “Oooh!” loud enough to make my son ask what’s up. I had to tell him that Matt got pretty close to pi and he was impressed.
Thanks for the early reminder that pi day is coming up!
The calculation was nice and all, but I was most fascinated by learning about Eric's job! I'd never realized that was something people did for a living. I love hearing about unusual careers.
Can't spell yearly without early, great video Matt!
Dude. Your videos are literally my favourite bedtime stories and I have been /waiting/ for this one. Had a burnout week and for some reason thought pi day was 3/3 so I've been holding out on the edge of my seat since before then
Now that we've seen the preview for Fast and Furious 3.14, I can't wait for the theatrical release!
@vigilantcosmicpenguin8721
Жыл бұрын
The critics don't love it. They have qualms with the pacing; it just goes on forever.
LOL at measuring the circumference when you had to set a rope to the length of the radius.
This was just too awesome 😅 I'm a mechanic and tyre specialist by trade and super nerd by heart so I was on the edge of my seat the whole way and the ending did not disappoint. Love that rounding killed your average too 🤣👌 as before I started watching with kids I quite literally gave them a talk and said more than a couple decimals is useless for all but going to mars and gave an example of being off a little at short distance but still hitting an edge, then another one far away where you would miss by a star shot at same error margin 👏 I want Pi day every day now 😊
I really thought when Matt said he was at an undisclosed test track he was gonna pull the old top gear bit where he says exactly where it is.
I love the creative ways you find Pi.
I was wondering why this was early, then I read the description. Thanks for being great not just to students, but to teachers as well :)
This is the second Pi Day video I’ve seen put out a few days early for teachers. LOVE that! :)
I like the real-world application, thanks Eric for bringing this to us this Pi Day!
I was slightly nervous too, Matt! I'm always excited for these annual videos.
@DragCadRacing
Жыл бұрын
... After hitting "send", I realized that maybe there's a way to calculate pi using the fact that Pi Day comes around once a year??
@josephmelnick3446
Жыл бұрын
@@DragCadRacing Does it involve furlongs per fortnight in the circumference of the year?!?!
I was wondering why the PI day video was up on 3/11, then I burst up laughing when the 3,117 result came up. Of course I then realized this was not in fact related but I would totally back the idea that PI day is just whatever day you end up calculating each year!
This was a good Pi Day video. Good job and thanks to Eric both for suggesting this and helping you make this video.
It's not out of control! It's doing exactly what he wants it to do! 😉 Also, pretty impressed you managed to get two digits of accuracy out of that.
Love it when my interests of maths, cars and Matt calculating pi in weird ways come together! I am always surprised by how often pi turns up in equations that at first glance seem to have nothing to do with circles.
10:15 "I don't want to alarm you but for the historical level of precision from my calculations we're good!" 🤣🤣
So cool! Loved the video! 😃Creative and exiting with the fast car. No worry's about the 26/38 thats all cool. Even cooler is that you approximated Tau. Clearly using 2Pi and the radius and by the magic of dividing Pi popped up! see you all june 28 th.
❤ that you posted this on the date you calculated pi to be.
I hate all the imperial units in these formulas, but apart from that, very nice approximation!
@stevewandel9317
Жыл бұрын
agree. Wonder if there's a metric equivalent
@freshrockpapa-e7799
Жыл бұрын
@@stevewandel9317 dude it's the exact same thing in metric
@stevewandel9317
Жыл бұрын
@@freshrockpapa-e7799 I kind of glossed over the bit where g for gravity was being screwed around with. Probably don't need to do anything for metric as everything is base 10
Very cool computational experiment! And no serious injuries as a bonus! Thanks to all!
So cool i absolutely love the different ways you can experimentally derive pi!
Is today Pi day? No... Was this supposed to be auto released on Tuesday? Yea, probably. Did I watch and enjoy anyway? Most absolutely!
@sergey1519
Жыл бұрын
maybe he calculated it to be 3.10 this year?
@wesplybon9510
Жыл бұрын
@@sergey1519 Well, to be honest, not done watching yet, but I'm half expecting 3.1 to be the result of his calculation HERE!
@adamsbja
Жыл бұрын
If I remember from past years he likes to get them out early for use in classrooms and such.
@Aquanz0r
Жыл бұрын
Parker Circle
3.30 So Matt's drawing an MGf skidding round a corner. Something that particular car is very good at: been there, done that!
That was really cool! I love this series!
I'm happy! This was a fun and informative video.
3/10 is my favorite PI day
@defense200x
Жыл бұрын
its 10.03 tho
@dontuserachelslurs
Жыл бұрын
@@defense200x then there is no pi day because there's no 14th month of the year
The true PI-day celebration would be inventing time travel and going back to March 14 1592
@rmela4501
Жыл бұрын
At 6:53:58 am
This was a really fun collab and celebration of pi. Kudos to Eric for reaching out!
@Stand-up Maths I love your annual pi series. It’s always great to see what ways you use to calculate pi each year.
The speedometers in my cars are about 5-10% fast. Dropping that 25 mph by 5% seems to get you so much closer! (I'm doing the math in my head, I could be wrong, haha)
@hoebare
Жыл бұрын
The discrepancy in your cars' speedometers could be because your speedometers were calibrated for larger wheels. To go the same speed a smaller wheel has to turn faster than a larger one would, and the speedometers are based on wheel rotation speed (sort of).
@srwapo
Жыл бұрын
@@hoebare No, the wheels and tires are the stock size. And the odometers have read accurately! Seems to be a German car thing (VW and BMW), my folks' cars have always been accurate (Honda, Subarua, Kia...).
Next year, Matt calculates Pi by herding border collies with squeaky toys.
I love how you removed your cap at the beginning as a cue to the driver
I'm absolutely amazed that the result was so 'precise' given the amount of rounding and the uncertainty of the measurements.
As a physicist, I really think you should measure each of the uncertainties and find the total uncertainty using the error propagation law. This way you get a feel of how luck-based you accuracy is.
I don't think today is pi-day lol
I've been waiting for this video for a month now. It's the annual, "Matt figures out PI" video!
Man I rewatched all the pi day videos to get myself hyped for this year's, not realizing that this one came out this year.
"It's not just drifting, I'm actually doing math"
@josephmelnick3446
Жыл бұрын
"Remember kids, the only difference between screwing around and science is writing it down." Adam Savage, Mythbusters
I'd love to participate in calculating pi by hand, but the odds are against it happening in the US, and I can't afford to travel internationally. Have fun everyone that can afford to participate.
Oh, Matt, you make me want to show you my unit conversion app. This was nicely out of left field for me. Thank you and your undisclosed colleague who does good work with accidents. :) I'd like to know how you completed the circle.
I'll hopefully be able to finally pass my Physics I course this year. Good job on calculating PI!
2:25 to a topologist, a car with 2 open windows is a teacup.
@abigailcooling6604
Жыл бұрын
Laughed so hard at this!
Never seen anyone use imperial units for physics calculations. It was... horrifying.
@freshrockpapa-e7799
Жыл бұрын
It's very common actually and not an issue at all as long as you're consistent, knock it off
@Chris-hx3om
Жыл бұрын
@@freshrockpapa-e7799 Why? imperial is a horrid system when trying to do calculations like this. And it's not 'common'. Most scientists use metric, even those in 'Murica!
@clausanders2886
Жыл бұрын
@@freshrockpapa-e7799 With this kind of units, you'll end up with any result you want. Add 2 cups of flour and 1 cup of water, 1 teaspoon of yeast and a pinch of sugar. Mix everything and wait a day or so. Ball it and stretch it to 12" and call it a pie.
@freshrockpapa-e7799
Жыл бұрын
@@Chris-hx3om uh, no it isn't, if you can't figure out how to use another system of units you clearly shouldn't be working in stem
@Chris-hx3om
Жыл бұрын
@@freshrockpapa-e7799 Oh, I can work in either unit set (and I'm frequently forced to), and because of that I know just how difficult US imperial is! When will Murica join the rest of the world and ditch those archaic units?
I’m absolutely not a Maths person at all, but I really enjoy watching your Pi video each year!
Interesting! Nice skills!
Happy Engineers-Pi Day!
@MortalCosta
Жыл бұрын
There hasn't been a truer comment to date
Hi Matt. US collision reconstructionists may use 'f' for the coefficient of friction, but in the UK we use mu and sensible metric units. Didn't want everybody to think that we were making up our own names for the variables and not using SI units! Happy Pi Day. Thanks for what you do in showing maths (yep, with an 'S' on the end) in real world situations.
Loved it !!
Also, as a physicist, it causes me physical pain that you drew the friction force in the opposite direction to the mv^2/r. The friction force *is* the centripetal force (it is the force acting on the car that points towards the centre of the circle). It doesn't oppose the centripetal force. There is no actual force called "the centripetal force". We need some force to "be centripetal" for the car to turn, and in this case it happens to be friction that is playing that role.
@OurTube1011
Жыл бұрын
Thanks.
The former physics teacher in me is screaming at you for not keeping your units in your equations. Yes, it takes more room, but then you don't lose track of anything. :beaming_face_with_smiling_eyes:
@MathNerd1729
Жыл бұрын
Yep! And Matt should have written 3600/5280 in his explanation instead of 5280/3600; writing the units would've made that clearer
@danielschuett
Жыл бұрын
@@MathNerd1729 When he read the units out loud without writing them down, it irritated me so much that it took me a minute to realize he had it upside down. It always helps to look at the units first to see where which variable goes.
When considering the errors inherent with your measurements, you can calculate the expected error of the answer, and it seems you actually nailed it. You can say the same thing about most of your π-day calculations.
Ok, had to check the date real quick, but I'm not complaining about an early pi day video!
I thought I had lost a week! 🤣
Happy pi day for 4 days!!
This is an engineering discussion, if it were a physics discussion, the car would be spherical.
I saw you in Reading on Tuesday - quite the surprise!
Pretty sure Matt will find any way to calculate Pi to avoid something.
Did you compensate for the error in the speedo? Modern cars almost universally read fast so the car probably was going slightly slower than it seemed (which would have made the result slightly larger, and slightly closer to Pi).
@michaelharrison1093
Жыл бұрын
That was a US vehicle and hence the speedo reads correctly. It would be different if it was a British or European vehicle
@alexandruandercou9851
Жыл бұрын
Actualy the speed should be slightly above 26 like 26.067
@bosstowndynamics5488
Жыл бұрын
@@michaelharrison1093 I'm sure the discussion I saw on this mentioned US vehicles were affected, but I could be wrong
Love this every year!!! 4th year now where we have pies for dinner 😊
I’m glad you returned home for your derivations. It’s not safe to drive and derive.
I wonder how close will you get to π, if you take the averages of the results from your previous π-days.
1 digit is a good enough approximation!
Thank you for coming across the pond to -5 UTC enduring our freedom units, to our First in Flight state as I watch from my chilled Birthplace of Aviation state.
Eric, that sled looks far nicer than the half-bag of concrete poured into a chunk of tire that they made me build and then carry and drag around for three weeks. Turns out that gently-used, nearly level, dry, asphalt road-surface still is around μ = 0.7. Thanks for the memories.
Which one is better, Matt's car drawing or Ben Sparks' mouse drawing
@abigailcooling6604
Жыл бұрын
The mouse.