Trick 10: Math Mentalist Devises Foolproof Gambling System

November 30, 2012

Math Mentalist Devises Foolproof Gambling System

Get Ready for the Lego Olympics

February 23, 2012

EXERCISE 2:

make a pole vault pole to scale for your little Lego Man.

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 Structure Real Olympics Lego Olympics 100m Sprint 100m 2m 400m Sprint 400m 42 km marathon 42,000m Olympic Pool Length 50m Olympic Pool Width 25m Olympic Rowing Course 2,000m Equestrian Jump Height 2m Approx Pole Vault Pole Length 5.5m Javelin Length Men Women 2.6m 2.2m Olympic Stadium Straight Segment Semi-circle Radius inner Lane Lane Width 84.39m 36.50m 2.5m

Lego Olympics Flags

February 23, 2012

The Lego Marching band is rehearsing for the Opening ceremony.

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Hula Lula (Grinmania)

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A. National Flag of  Comotosia

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How will you do this? (Hint below)

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BUT

Lego Olympic Opening Ceremony

February 23, 2012

triumphant Trumpet Fanfare.

Here is the US Army Herald Trumpets playing a rousing fanfare:

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Time on circuit (T) in mins:

March Time with 1 min gap between groups:

Here are the results for different gap times:

 Nation March Time Gap time 0 min March Time Gap Time  1 min March Time Gap Time  2 min March Time Gap Time  3 min PJ Boy + the Pajamaramas 8 8 8 8 Mummy’s Boy and the Crytomanians 5mins 20 secs 6 mins 20 secs 7mins 20 secs 8 mins 20 secs Olag and The Beserkers 4 6 8 10

T = d/S + ntg

Lego Olympics Triathlon

February 23, 2012

This is the Lego Triathlon.

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EQUIPMENT: Your Lego Man, girl, alien, your brain, a calculator & one dice.

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In the Olympic Triathlon contestants:

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In a Lego Olympic Triathlon little Lego men, girls, aliens have to:

5. Disqualified because a Groppanator from the Urgastor Galaxy ran out of the crowd just before the finish line and hugged you with his 6 arms.

 Triathlete 30 m Swim Speed + Time 800m Cycle Speed + Time 200m run Speed + Time Total Time mins Roll 3 or 5 Disqualified 1 Mummy’s Boy from Crytomania 40 m/hr …………… 400 m/hr …………… 250m/hr …………… …………. ………….. 2 PJ Boy from Pajamarama 30 m/hr …………… 200 m/hr …………… 500 m/hr …………… …………. ………….. 3 Olag from Beserk 40 m/hr …………… 200 m/hr …………… 500 m/hr …………… …………. ………….. 4 Dead-Eye Doc from AyeAwArghia 60 m/hr …………… 400 m/hr …………… 450 m/hr …………… ………….. ………….. 5 Hula Lula from Grinmania 50 m/hr …………… 400 m/hr …………… 500 m/hr …………… …………. ………….. 6 Mr Boopy from Bozonia 30 m/hr …………… 600 m/hr …………… 200 m/hr …………… ………….. ………….. 7 Gorilla Suit Guy from Halloweenotopia 50 m/hr …………… 500 m/hr …………… 300 m/hr …………… ………….. ……………. 8 BioHaz from Toxorama 60 m/hr …………… 500 m/hr …………… 400 m/hr …………… ………….. ………….. ………………… from ……………….. …………… + ……………….. …………….. + …………….. …………….. + …………….. ………….. …………..

You can work it out mathspigs.

Total Times are published @ the end of The Lego Olympics Closing Ceremony.

Lego Olympics Closing Ceremony

February 23, 2012

Probability of Winning a Gold Medal:

Lottery balls fall randomly into the tube. But the Olympic athletes represent a BIASED SAMPLE. Athletes are selected for the games. They must qualify for an event. They train. The chance of one athlete winning is quite different from that of another.

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We will finish with this end song by Lego Rock Band and some Lego fireworks.

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Lego Olympics Triathlon total Times: 1. Mummy’s Boy: 3 hrs 33 mins, 2. PJ Boy 5 hrs 24 mins, 3. Olag 2 hrs 51 mins, 4. Dead-Eye Doc 2hrs 57 mins, 5. Hula Lula 3 hrs, 6. Mr Boopy 3 hrs 20 min, 7. Gorilla Suit Guy 2hrs 52 mins,8. BioHaz  2 hrs 36 mins.

Can a Formula 1 car drive upside down? Can an ordinary car fly?

February 9, 2010

The 2010 Grand Prix is about to hit Melbourne next month so this week, mathspigs we are going to look at car aerodynamics. There are two factors in car aerodynamics. Lift(L) and Downforce(D)

LIFT (L)

Car designers didn’t worry about aerodynamics until the sixties when cars could go fast enough to experience aerodynamic lift, which naturally, reduced tyre traction.  Skirts are added to cars to not only reduce this lift but also create a ‘suction’ (Bernoulli Effect”) under the car.

Here is the Chevy ’69 Camaro from Camaro Untold Secrets.  At 115 mph ( 185 kph which is not only fast but over street speed limits!!!!!) it experienced a front Lift (L) of 375 lbs or pound force.

We’ll simplify the aerodynamics and assume this graph is a parabola as follows.

NB: the only units to use in this equation are L (lb force) and v mph.

Once you know this equation you can calculate the velocity required for a ’69 Camaro to leave the ground due to front Lift (Assume once the nose lifts the downforce no longer applies ie. equals zero.)

We know the weight of the ’69 Camaro = 3,675 lb.

So mathspigs if the ’69 Camaro can go fast enough so that the front Lift equals its weight, it will fly!  At what speed will ’69 Camaro fly?

Downforce (D)

The ultimate design in car aerodynamics is the F1 racing car.  The Downforce (D) on the car is created by the front and rear wings, which work in reverse to aeroplane wings pushing down on the car) and the underbody gap which crates ‘suction’ by the Bernoulli effect.

Williams FW31 weight including driver  605 kg

Renaut R30 total weight 605 kg

Toyota TF 109    weight 605 kg

BMW Sauder C29    620 Kg

Ferrari F60    605 kg

Downforce is approx:

35% rear wing

25% front wing

40% defuser on underbody

While downforce equations are complex ( See Wikipedia ) they approximate to the following equation for a standard F1 car design:

Could the Downfoce (D) on a F1 car exceed its weight so that it could drive upside along a … very long tunnel? I’m thankful to New Scientist (Aerial Glue 20 Jan 2010) for this insight.

Now mathspigs you have the mass of F1 car above so you can calculate the speed at which a typical F1 racing car could drive on the roof of a tunnel glued to the ceiling by its own downforce.

NOTE: This equation only works for a limited range of car mass, m. You can’t reduce m by dumping bits of the car. Likewise, if you add bits to the car to increase m eventually the aerodynamic constant, k, will change.

Does the weight of a driver make a difference?

Mathspig did stand in the pits in the Australian Grand Prix in Adelaide in the ninties ( with a borrowed ticket) not far from Ayrton Senna (Right. Tragically killed in 1994) and I was shocked to see how small he was. His height is recored at 171 cm but that is Mathspig’s height and he was shorter.  Today while some F1 drivers are over 6 ft (183 cm) including Australia’s Mark Webber (Right) most are not tall and, therefore, not that heavy.

When the KERS (Kinetic Energy Recovery System), which stores braking energy, was introduced 2009 drivers lost weight to accommodate system.

Nico Rosberg 76 kg to 66 kg

Kubica 78 kg to 70 kg

Heidfeld  56 kg to 59 kg

While Trolli, Hamilton and Vettel reduced their weights to 64, 67 and 62.5 kg respectively.  More info

Typically, a driver will lose 5 kg just competing in a Grand Prix.  IF the driver dropped 15 kg would that effect the upside down speed of an F1 racing car?  Drop the mass (m) value above and see if it makes much of a difference.

Or, instead, if your School Principal was driving the F1 racing car ( Assume an average  F1 driver weighs 65kg. How much heavier is your Principal to an F1 driver? Guess.) Increase the mass (m) in the above equation by this amount and you can calculate the speed  at which your school principal and F1 car would drop off the tunnel ceiling.

Meanwhile, even Mythbusters hasn’t tested this stick to the ceiling theory. Why?

Even the slightest bump on the ceiling could disrupt the underbody ‘suction’ and down goes the \$zillion car and driver upside down and at speed.

This hasn’t stopped some Youtube mockups of F1 cars driving on the ceiling!!!

More Maths. No Sweat!!!

September 11, 2009

Mathspigs there are two things that stop kids doing maths. Fear & boredom. But we are going to show NO FEAR. You may find some of these equations a bit scary. I do too. But I can make some sense of some of this stuff. Here goes.

The article No Sweat. Well, not as Much as You think (New Scientist 18/7/09 #mce_temp_url#  ) highlighted research by the US army into finding an equation for how much men and women sweat. They need this information so they can calculate how much water they need to carry. Makes sense.

How do they calculate how much you sweat???

Basically, they use NUDE body mass work out how much weight you lose after exercise. Allowances are made for mass (or weight) by breathing in oxygen and breathing out water & carbon dioxide.

They can also calculate how much heat is lost when you are nude if  m  ( or m with a little dot) is your sweat rate in grams per hour.

Then things go a little crazy. Here’s one part of the equations for heat lost when dressed. I just want you too see how crazy some equations can be.  We’re not going to use it. But when you are doing studies like this you get used to such equations.

ARE WE SCARED, MATHSPIGS? No. We’re going IN to look at the results. We can make sense of them.

Thanks to Dean Van DEn Heuvel, Kyneton, Victoria for this fab math pig pic. We like happy mathspigs!!!!

When you read the table below keep in mind:

How much do you sweat????

With one more piece of data you can calculate how much you would sweat in Battle Dress Uniform or body Armor plus vest. Your surface area:

“Normal” BSA is generally taken to be 1.73 m² for an adult. ( More @ Wikipedia: #mce_temp_url#)

Average BSA values
Child 9 years 1.07
Child 10 years 1.14
Child 12-13 years 1.33
For men 1.9
For women 1.6

Which sport is more DANGEROUS to play? Cricket or baseball?

September 4, 2009

Mathspigs you are about to be hit on the head with some BALL PARK figures. There is so much maths involved in comparing cricket and baseball I hardly know where to begin. So I will just set you up with comparitive statistics for starters. Here they are:

You now have sufficient information to calculate the following:

Q1. If a cricket player  makes 4 runs (and runs between the wickets) and a baseball player hits a home run, who runs the furtherest?

Q2. What are the delivery ball speeds of an average pitcher and a mid paced bowler in m/sec?

Q3. How far would the delivery of an average pitcher and a  medium paced bowler travel in 10 seconds?

Q4. If Shoaib Akhar fielded a ball in cricket 20 m from the wicket when the batsman was still 8m from the wicket (A typical running speed for humans is 32 km/h) would he be able to run him out?

Q5. How long would it take a ball thrown by Joel Zumaya to reach the batsman if the pitchers mound was exactly in the middle of the baseball square?

Q6. Which sport is more dangerous? We will base our calculations on the speed (or velocity) and the weight (or mass) of the ball. We must use the same units in all calculations. For each sport plot x-axis: velocity of ball (v) against y-axis mass x velocity (mv) of the ball. mv is the momentum. In ballistics the change in momentum is called the IMPULSE (impact for us). If you are hit on the head with a ball it is the change in momentum of the ball that does the damage. A small ball at a high speed can do as much damage as a larger ball at a slower speed. We are not including spin, curve balls or air resistance to keep calculations straight forward … literally!!!

Q6a. Which sport for professional players is the most dangerous?

Q6b. At what speed does a cricket ball do the same damage as a baseball? Show three examples. (Hint: Draw a straight line from the Y-axis)

Pics: Tim Lincecum (Left) with 101 mph pitch, Shane Warne (Upper Right) and Shoaib Akhtar (Lower Left)

How much do the most expensive football players in the world cost per kg?

June 25, 2009

Ricardo Izecson dos Santos Leite (born April 22, 1982 in Brasília, Brazil), simply known as Kaká, is a Brazilian footballer who plays as a midfielder.

Last week it was announced that Real Madrid  had paid Kaka’s current club, AC Milan €65 million (\$114.5m) for the soccer player.

This is the second highest payment in football history as  the record transfer deal was set by Zinedine Zidane when he joined Madrid from Juventus for €75m ( \$ 132.1 m) in 2001. (Sydney Morning Herald 10 June 2009 #mce_temp_url# )

Kaka Weight =  73 kg

Zidane weight = 78 kg.

Now mathspigs you have enough information to calculate how much these soccer players are worth per kilo.

You can use a table, a picture graph or a bar graph to compare the costs of these footballers per kilo with other products available on the market today. Don’t forget mathspigs football players are bought and sold like commodities so this is a reasonable comparison to make:

platinum = \$46,700 per kilo

gold = \$37,500 per kilo

silver = \$ 560 per kilo

Tic Tacs = \$ 44.44 per kilo (Confectionery costs from grocery.bestpricedirectory #mce_temp_url#

Freddo Frogs = \$19.95 per kilo

Meanwhile you can easily work out if Kaka is worth his weight in gold. Or, to put it another way, how many kilo of gold would Real Madrid need if they were to pay for Kaka in gold bullion? Australia actually produces 1 kg gold ingots or bars. So how many gold bars would Kaka cost?

As one of our sayings in English is ‘It cost me an arm and a leg’ you can also work out how much a ‘very upmarket’ arm and leg might cost.

To do this maths pigs you need to know the approximate weight of a human arm and leg.

According to Wikianswers a human arm weighs approx 3.3 kg.

While according to that great source of information Wii Fit your legs make up 40% of your body weight. So one leg is 20 % of a person’s body weight. You now have enough information to calculate how much an arm & a leg is worth in World Soccer.

Go to it mathspigs.