Posts Tagged ‘Parabola’

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WINTER OLYMPICS 2022: One Rule Aerial Skiers Cannot Break

February 1, 2022


The Parabola Must Be Obeyed!!!!

Aerial skiers aim for height rather than length. Their aerial flight times are much smaller than ski jumpers so air resistance has minimal impact.

In fact, there is one law the aerial skiers cannot break. It is the law of gravity.

Here is an equation for  projectile motion from Wired magazine.

Screen grab from Wired Magazine

Screen grab from Wired Magazine

The equation for projectile motion also applies to Motorbike Jumps and Longbow Arrows.

Here is the x-y graph for different launch angles.

trajectory wired magazine

trajectory wired magazine

 

You can go to this page for complete calculations. Aerial skiers twist and turn but their CENTRE OF GRAVITY must follow this graph. More on centre of Gravity at The Great Back Pack Attack ie.

The centre of gravity of Aerial Skiers must follow a

parabolic curve.

Aerial Parabola final 2

Rocky Maloney Winter X Games Aspen

Rocky Maloney Winter X Games Aspen

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Real World Maths: Surds and all that jazz …

November 23, 2020

Eddie Woo is an Aussie Maths teacher who runs his own Youtube Channel. So popular is this channel in October 2015, Woo won the NSW Premier’s Prize for Innovation in Science and Mathematics. This youtube clip won’t tell you where you will use surds, but it does something magical.

It compares surds to different kinds of music to help students understand why mathematicians go crazy over the concept of surds. This clip tells why maths is soooooo special. There is no guesswork or fake information in this maths. Maths must be accurate. And surds demonstrate this point. (Look for the 5 min mark)

Will you use surds in real life?

Maybe. Probably, not. But surds are used in mathematical programs that demand accuracy. eg. engineering skyscrapers, building satellite dishes, and even in video games. But you won’t see them. Like so much mathematics surds will be hidden in some algorithm.

Here are two Examples:

1. The Golden Ratio:

Often written a 1:1.61 the Golden Ratio or Fibonacci Sequence appears in art and nature and has an aesthetic appeal to the eye, but the accurate ratio is:

2. The Quadratic Function

Satellite dishes, headlights, torches, and bridges all designed using the parabolic arc. The parabola is defined by the quadratic function and sometimes solving for x produces an irrational no. namely a surd. Rounding off can introduce inaccuracies that can become more dramatic when scaled up to the sie of, say, a bridge. 

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Math Joke 2: Nick Cave’s Mo is a Parabola

February 22, 2019

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Who would have thought, mathspigs, that there was so much maths in hair.

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Today’s post looks at the Majestic Moustache or the Manly Mo and moustache graphs.

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Here are Mathspig’s two favourite moustache graphs.

First, is the Moustache and the Decline of the British-Empire or 100-Year Itch @ TWC, which includes a pictorial record of the moustaches decline.

The second graph is from the American Mustache Institute* showing the decline in corporate reputation with the decline in the popularity of the mo with PR professionals.

THESE ARE HILARIOUS GRAPHS, but they are Gaga or Made Up Graphs.

How does Mathspig know this?

Because of the numbers.  The Y-axis scale is missing or irrelevant to the graphs shown.

These graphs are a bit of fun, but graphs are used to sell you products and some graphs can be totally misleading.

See Graphs for the Lost and Bewildered

Mathspig, promised you Manly Mo Maths. And there is Maths in MOs.

Nick Cave’s Mo is a Parabola.

John Travolta’s Mo is also a parabola.

The Village People all parabola MOs.

Captain Jack Sparrow’s

 beard is ∏ !!!!

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THIS IS A TOM SELLECK FRACTAL.

Goodness me, it’s a Tom Selleck  Eyebrow Mo Sierpinski Gasket

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MAKE YOUR OWN MANLY MO:

Not all MOs are real and Groucho Marx trade mark eyebrows & mo were painted on.

Why not get your own Manly Mo.

Or, mathspig teachers,  get your class to draw ‘parabolas’ on their hands and if a member of staff has a mo invite him into the maths class then on the count of three show him the whole class of ‘parabolas’

*If you love that moustache talk here is an American Mustache Institute Interview:

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WINTER OLYMPICS: One Rule Aerial Skiers Cannot Break

February 10, 2018

Aerial skiers aim for height rather than length. Their aerial flight times are much smaller than ski jumpers so air resistance has minimal impact.

In fact, there is one law the aerial skiers cannot break. It is the law of gravity.

Here is an equation for  projectile motion from Wired magazine.

Screen grab from Wired Magazine

Screen grab from Wired Magazine

The equation for projectile motion also applies to Motorbike Jumps and Longbow Arrows.

Here is the x-y graph for different launch angles.

trajectory wired magazine

trajectory wired magazine

 

You can go to this page for complete calculations. Aerial skiers twist and turn but their CENTRE OF GRAVITY must follow this graph. More on centre of Gravity at The Great Back Pack Attack ie.

The centre of gravity of Aerial Skiers must follow a

parabolic curve.

Aerial Parabola final 2

Rocky Maloney Winter X Games Aspen

Rocky Maloney Winter X Games Aspen

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Parabolas and the Art of Spitting

May 5, 2017

The maths that proves that the 45 degree angle is the angle that produces the maximum distance travelled is quite tricky and involves trigonometry. But this just shows how cool maths can be. See the full calculations here.

More long bow maths here at ROBINHOOD GIVE US YOUR BEST SHOT

Interesting maths work on WHICH SPORT IS MORE DANGEROUS, BASEBALL OR CRICKET? here.

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2. One Rule Aerial Skiers Cannot Break

January 23, 2014

Aerial skiers aim for height rather than length. Their aerial flight times are much smaller than ski jumpers so air resistance has minimal impact.

In fact, there is one law the aerial skiers cannot break. It is the law of gravity.

Here is an equation for  projectile motion from Wired magazine.

Screen grab from Wired Magazine

Screen grab from Wired Magazine

Here is the x-y graph for different launch angles.

trajectory wired magazine

trajectory wired magazine

You can go to this page for complete calculations. Aerial skiers twist and turn but their CENTRE OF GRAVITY must follow this graph. MOre on centre of Gravity at The Great Back Pack Attack ie.

The centre of gravity of Aerial Skiers must follow a

parabolic curve.

Aerial Parabola final 1

 

Aerial Parabola final 2

 

Rocky Maloney Winter X Games Aspen

Rocky Maloney Winter X Games Aspen

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3 Ellipsoid Collipsoid

April 9, 2013

Maths-is-Awesome Activity

Ellipsoid Collipsoid

Skill: Geometry, scale, ratio, conic sections, ellipses, parabolas, hyperbolas and more.

Level: Senior School

102 Conic section 1901

Senior maths students are busy, mathspiggies. But insipration energises.

Mathspig was amaaaaaazed by these cardboard models were made by Martin Schilling because he made them in 1901. This was long before computers made the job easier. More info here.This is what a car looked like in 1901.

car 1901

If Martin Schilling could make these Conic Sections, so can any senior student. You will find Conic Section diagrams and equations here.

Could you do this mathspiggies?

Make a conic section in 3D?