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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

March 31, 2014

Travel Pig 2

Helloooooo Sweat Peas,

Did you know the world is just covered in mathsy place names? There are streets, Boulevards, roads, lanes and ways all boasting mathsy names. 

So this week Mathspig just has to ask: 

What place boasts the most mathematical street names in the world?

And this week don’t forget the yummy Easter Egg maths.

How to plot an Easter Egg Graph

How to calculate the amount of sugar in an Easter Egg

Did I hear the word .. CHOCOLATE?  Gotta run ………………………………………

Bye-de-bye

…………………………………………………….

Mathspig

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The MATHS St GOOGLE MAPS Challenge

March 31, 2014

0 SOLUTION DRsign post

Reading Undiluted Hocus-Pocus, the autobiography of Martin Gardener, mathematician and magician (He wrote the puzzle column for scientific America for years), Mathspig was bemused to read that statistician William Feller lived on Random Road in Princeton.

Mathspig totally confused Google Maps by searching for so many Maths streets, roads, drives, lanes and crescents. Mr Google began to think Mathspig was stuck on Infinity Street or lost at Cartesian Place.

What place boasts the most mathematical street names in the world (so far):

1. Paris

There are nearly 100 Parisian streets, squares, boulevards etc. named after mathematicians and not necessarily French mathematicians.

1 paris

 

Street names include:

Rue Laplace

Rue Bernoulli

Rue Newton

2 Rue Fourier_2

There is, surprisingly, no street named after Fourier in Paris. But the street on which he was born in Auxerre has been renamed after this great mathematician.

.

2. Salisbury, South Australia

Surprisingly, the most ‘mathsy’ place Mathspig has discovered so far is an outer suburb of Adelaide, south Australia. Maths street names include:

3. Salisbury SA

Equation Rd

Parallell Ave

Chord Rd

Log Rd

Tangent Ave

Quadrant Ave      

Meridian Rd

Degree Rd

Decimal Rd

Latitude Rd

Co-ordinate RD

Fibonacci in Budafest Not by name, by design.

Fibonacci in Budafest
Not by name, by design.

3. New York, NY, USA

You can’t get lost in New York. It is a grid city.

5. New York

Eg. 812 East 23rd St means No. 12, block 8 East of Broadway.

6. sine curve road

There is a Sine Rd in Auburn New York,

but it’s not this one. Pity!

Here is a fun Maths exercise to get Middle School students thinking about maths.

Maths Street Challenge

…………………………………………………………………………………

Ans. 1. Massey, NZ. 2. TRIANGLE. 3. State Ave 4. 0.7 miles, 1.1 km. 5. It has 3 right angles 6. 0.4 miles, 0.6 km. 7. No. The triangle is not a right angle triangle. 8. David W Carter Hight School) 9. Only 2 ARITHMETIC CR, Landon, SC and ARITHMETIC Dr, Salem, MA. 10. O.4 miles, 0.6 km.

Advance Maths St Challenge

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THE SPEECH MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig ……………………. with Kerry Cue

February 28, 2014

Hello My Mathematical Friends,

Official Seal of MATHSPIG The President of the United States of Mathematics

Official Seal of MATHSPIG
The President of the
United States of Mathematics

The Gettysburg Address, Martin Luther King’s ‘I have a dream’ Speech and Winston Churchill’s ‘We shall fight on the beaches … we shall fight in the fields and in the streets … we shall never surrender’ speech were speeches that inspired millions in difficult times.

Maths needs an inspiring speech.

Why?

Because today too many kids do maths like this:

They sit in front of a computer. They answer questions on a program as if they’re shooting at a target. They don’t care about the maths. They just want to know their score. All very entertaining … but they’re not working their brains. They do not think.

Many do not know their tables even in Year 7.

Maths has turned into a guessing game. And they struggle with it.

Here is the comic take on the problem: Hugo Does His Homework, sort of.

But there is a serious side.

Maths needs an inspiring speech. So listen up Middle School students. Here it is:

220 MATHSPIG THE SPEECH 2

……………………………………………………………..

Take Care

…………………………………………………….

Mathspig

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HUGO does his HOMEWORK, sort of.

February 27, 2014

Meet Hugo. Hugo heaad shot

He’s 13 years old and this is how he does his homework:

Mathspig I hate Maths introMathspig Hugo 1a HomeworkMathspig Hugo 2a Homework WMathspig Hugo 3a HomeworkMathspig Hugo 4a HomeworkMathspig Hugo 5a Homework

Mathspig Hugo 6a HomeworkMathspig Hugo 7a HomeworkMathspig Hugo 8a HomeworkMathspig Hugo 9a HomeworkMathspig Hugo 10a HomeworkHugo Mathspig end

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

January 23, 2014

Sochi Olympic Mathspig

Hellooooooooo Chilly Chubblies,

Here is some simply fab maths for the Sochi Winter Olympics. You don’t have to jump off a ski ramp to work out what’s going on … just do the chilly maths. 

1. The Real REASON why figure skaters can spin so fast

2. One Rule Aerial Skiers Cannot Break

3. How maths rules ski jumping

4. Why the best figure skater doesn’t always win

5. Beaten by 0.001 seconds

……………………………………………………………..

Bye-de-bye

…………………………………………………….

Mathspig

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1. The Real REASON why figure skaters can spin so fast

January 23, 2014

REASON  1:

Well, mathspiggies, the girl in this video is right. Angular momentum remains constant unless external forces are applied.

L = mvr

L = angular momentum

v = linear velocity

r = separation of object

Louisa Barama, USA

Louisa Barama, USA

Let’s have a look at this equation:

Figure skate maths1

The fastest spin on ice skates was achieved by Natalia Kanounnikova (Russia) with a maximum rotational velocity of 308 RPM (rotations per minute) at Rockefeller Centre Ice Rink, New York, USA on 27 March 2006. See Guinness Book of Records.

 Record spin :  vr = 308 RPM

Other spins include:

Mao Asada, Japan, triple Axel

Mao Asada, Japan, triple Axel

Triple Axel spin vr = 220 – 280 RPM

……………………………………………………………………………………………..

 Maximum Triple Axel spin vr = 402 RPM

Skaters can spin faster during a triple axel jump because there is no friction from the ice slowing their spin.

To complete a quad axel, it’s estimated that the skater would have to rotate in the air at:

540 rpm.

…………………………………………………………………………………

Camel spin vr = 90 RPM

More info here.

Kim Yuna, South Korea

Kim Yuna, South Korea

…………………………………………….

REASON 2:

How can a figure skater move from

a camel spin into a very fast standing spin?

Now, mathspiggies, you must separate Linear Velocity (v1 ) from Angular Velocity (vr ). Linear Velocity is measured in m/sec ie. it is the speed of, say, a skaters foot around the circle. Angular Velocity is measured in either RPM (Revolutions Per Minute) or degrees or Radians per minute. Ie. It is the rate of spin. We can’t judge how many m/sec a skaters foot is moving in a circle. We can only see how fast they spin. In other words, we see their Angular Velocity. When a skaters foot is in the Camel position that foot travels in a very big circle.

But when that same foot is in a Triple Axel postion it moves in a very, very small circle.

Patrick Chan, Canada,  Camel Spin

Patrick Chan, Canada, Camel Spin

Patrick Chan, Canada, Triple Axel

Patrick Chan, Canada, Triple Axel

figure skate maths 2

By halving the radius, firstly, a skater’s Linear Velocity doubles due to the conservation of angular momentum.

Then, secondly, by halving the radius the circumference of the circle moved by , say, the skaters foot is halved.

Overall, by doubling the velocity around the circle and halving the circumference a skater increases their rotational velocity by a factor of 4.

Look at the numbers:

Camel spin vr = 90 RPM

…………………………………………………………………………………

Triple Axel spin vr = 4 x 90 RPM = 360 RPM

That’s about right.

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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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