Pi Day 2019: calculating π with a balancing beam

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  • Опубликовано: 6 мар 2019
  • wwwh.umble-pi.com
    You can buy my book now!
    UPDATE: We are out of beam books!
    Behind the scenes video is here:
    • Humble Pi by Matt Park...
    Get it from Maths Gear and be guaranteed a signed first edition hard back.
    mathsgear.co.uk/products/humb...
    But it is also available on Amazon.
    www.amazon.co.uk/Humble-Pi-Co...
    For teachers (or anyone who would like some extra maths to do!) we have made an activity sheet about infinite series which give pi.
    www.think-maths.co.uk/pi-sums
    Celebrate Pi Day this 14 March (the date is written 3.14 in some countries; good enough for me!).
    Check out the fantastic chalkdust magazine: chalkdustmagazine.com
    CORRECTIONS
    - I’m not worrying about the bending of the beam bringing the forces slightly closer to the turning point. Just getting in before anyone brings it up.
    - People are upset I said torque instead of moment. I’m sorry.
    - People are upset I said “one over a fourth” instead of “one over four”. Technically I was wrong. But am TOTALLY NOT SORRY.
    - Let me know if you spot anything!
    Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:
    David Wagner
    Bruce Patterson
    Andrew Jarvis
    Loren Thomas
    Thijs Raymakers
    Support my channel and I can make more maths videos:
    / standupmaths
    The t-shirt I'm wearing is "Woven" by Ugmonk. The discount code STANDUPMATHS should get you 10% off.
    shop.ugmonk.com/products/woven
    Music by Howard Carter
    Filming and editing by Penguin
    Design by Simon Wright
    MATT PARKER: Stand-up Mathematician
    Website: standupmaths.com/
    Maths book: wwwh.umble-pi.com
    Nerdy maths toys: mathsgear.co.uk/

Комментарии • 1 тыс.

  • @PenguinBooksUK
    @PenguinBooksUK 5 лет назад +1

    Dear Matt, We’re not angry we’re just disappointed, please do not cut up books, especially ones as fantastic as this ❤️

  • @pony_OwO
    @pony_OwO 5 лет назад +1

    you're a week early, is this a Parker pi day?

  • @yettameter
    @yettameter 5 лет назад +635

    "We're going to calculate po to

  • @juweinert
    @juweinert 5 лет назад +717

    Why don't you reduce the error to exactly 0.0% by simply redefining π using your books?

  • @TheTwick
    @TheTwick 5 лет назад +135

    The string is a ‘massless, one dimensional, Newtonian string’? ;-)

  • @leov4751
    @leov4751 5 лет назад +186

    Pure maths and no engineering = bent beams :-)

  • @guitoo1918
    @guitoo1918 5 лет назад +151

    It was kind of a lucky result. The first 12 terms of the series only gives pi=3.0643

  • @klobiforpresident2254
    @klobiforpresident2254 5 лет назад +249

    It's been two years since I watched hours of you just tossing a coin? I'm getting old.

  • @X_Baron
    @X_Baron 5 лет назад +18

    You could probably also burn the books, observe how the smoke spreads and calculate pi from that using Monte Carlo...

  • @Ameto
    @Ameto 5 лет назад +268

    Seems like Pi Day came early this year

  • @Anonarchist
    @Anonarchist 5 лет назад +513

    'people say "don't destroy books", but actually it's really easy!'

  • @matthewbennett558
    @matthewbennett558 5 лет назад +781

    8:15

  • @matthewgilbie4087
    @matthewgilbie4087 5 лет назад +2

    pi day:

  • @Wise_That
    @Wise_That 5 лет назад +154

    The down-curve of your 6.5 book end means that the mass is closer to the pivot, and so imparts less torque. Looks like maybe 10 degrees more curve on that side, so you're only at cos(10deg) or 98.5% of the distance. If we divide 3.11791 by sqrt(0.985) we get:

  • @GvinahGui
    @GvinahGui 5 лет назад +323

    9:15

  • @SirPhysics
    @SirPhysics 5 лет назад +97

    My thoughts as Matt describes his plan.

  • @Plloi
    @Plloi 5 лет назад +47

    "That's not a problem because we have decided to not worry about it" What a Parker solution to the problem

  • @wuketuke6601
    @wuketuke6601 5 лет назад +44

    Yes, they released a week earlier, but 7/365=1.92% so they have actually gotten pretty close

  • @joekoop
    @joekoop 5 лет назад +156

    Instead of a calculator, you should use a slide rule.

  • @AbhinavSingh-qk4so
    @AbhinavSingh-qk4so 5 лет назад +17

    This is why you always be mine favourite ''a insane physical approach to define a theoretical mathematics which others generally approximate''