April 11, 2012

## 2. How long would you last if bleeding?

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March 16, 2012

# EASTER EGG MATHS

### 8888

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## How Eating Chocolate Helps You Do Algebra:

### Density of Chocolate = 1.325 g/cm3

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### *

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## ***************************Now I will weigh my egg pieces. I had to break it to check the egg wall width I did. Really. **************************

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### Ahhhhh!!!!! The killer rabbit is comin’ back to get me. Ahhh!!!!!!!!!!!!!!!!!!

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## Zombie Maths 13: Volume

December 13, 2011

# Geek Zombie Maths

July 4, 2011

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## Can a house fly??? Can you fly???

April 7, 2010

Thanks to Jason studying maths & physics at University of Minnesota for this suggestion.

Unless you have seen the animated movie UP ‘Can a house fly?’ is a funny question. The movie with the Boy Scout, Carl, and the grumpy old guy had quite a few people asking could a house fly?

We can do the maths, mathspigs! But why do the maths if someone has already done the hard work for you?

The X Change Files blog and Wired magazine have put together some fab calculations.

Unfortunately, all of their calculations are in American units but we can use their calculations as a guide. We will not include the weight of the balloons or string and we will assume the balloons are spherical so the answers are approximations and add a few more balloons to make the house & balloons more buoyant than air. Here is the information you need:

Can you fly?

We know humans can fly using helium balloons as 2nd July 1982 Larry Walters tied 45 weather balloons to a garden chair and flew to an altitude of 4,600m (15,000 ft). He carried a bbgun to shoot balloons for his descent but only hit a couple and dropped the gun. He flew for over 45 mins and was arrested on landing. Larry Walters link.

While I would advise mathspigs against such a stunt it is interesting to calculate how many balloons you would need to fly:

Here is one of my favorite HOT AIR balloons called, wait for it, THE HOT HARE BALLOON.

## Hey Dude, the hailstones are as big as lemons!!!!!

March 9, 2010

Melbourne was hit with a big mama of a hailstorm on Saturday.  (6/3/10) There was flash flooding, hailstones up to the size of lemons (Pic Left 774 ABC listener at Scorseby and lower right Herald Sun ) and winds up to 100 kph. The lemon sized hailstones left holes in rooves in the central path of the storm. Flood and hail damage is estimated at \$A200 million.

You can see some of the action on Incredible Melbourne Storm on YouTube

How fast do hailstones fall?

Can a hailstone kill you?

Working out the speed of hailstones is tricky because hail falls when it is too heavy for the updraft supporting it. Hailstones bump around inside the thunderstorm hitting raindrops and other hailstones. This bumping slows down their fall. Turbulence, drag and air resistance also effect the speed.

Fear not mathspigs.

Someone somewhere always has an equation. In this case, the National Severe Storms Laboratory USA has come up with an equation for hailstone freefall speed (Density 0.92 g/cc).

Year 11 & 12 mathspigs you can do these calcs and you will find an absolutely wonderful scientific calculator at WEB2.0Calc

It’s raining, um, fruit out here?

The bureau of meteorology runs into problems trying to name the sizes of hailstones. In the major 1999 hailstorm in Sydney the following descriptions were used: “tennis ball” size (6.3 cm), “cricket ball” (7 cm) or “oranges” (8 cm) “grapefruits” (10 cm), “half-bricks” (about 11.5 cm) and “rockmelons” (about 13 cm). More details @ Natural Hazards Quarterly.

Mathspig got caught in this hailstorm. I was flying from Melbourne to Sydney to Armadale. Arriving just after the storm I found all flights temporarily cancelled as many of the small planes were damaged. I was eventually put on a flight… I didn’t know where I was going. I landed in Tamworth and caught a bus to Armadale. As we flew out we could see the storm damaged rooves.

How fast do hailstones fall? Take a look.

As I want this blog to be accessible for mathspigs of high school standard. I’ve done some calcs for you.

You can do the volume calcs. But as you can see a lemon-sized hailstone would be coming at you at 200 kph and it would weigh about half a kilo.  You can work out the exact weight using the density volume calcs and density above @ 0.92 g/cc . (Note: This hailstone speed equation is for terminal velocity in a free fall. If there was a side wind the hailstone would be going even faster!!)

So run for it!!!!

Can a hailstone kill you? Yes!!! There are not that many recorded deaths. According to the Dallas Observer News (13th April 2000) Juan Carlos Osegueraa, 19 year old youth of Fort Worth Texas died trying to save his familiy’s Mazda pickup truck when a softball size hailstone smashed through the window into his temple. He was 2 1/2 m from safety.

Take care, mathspigs.  Don’t be tempted to save a car in a hailstorm.

## Man vs Auto: Car Maths

December 8, 2009

One classic Aussie bush song sung by Slim Dusty has the words:

But there’s nothin’ so lonesome, so dull or so drear

Than to stand in the bar of a pub with no beer.

To parody this song:

But there’s nothin’ so lonesome, so dull or so drear

Than to stand next to a car made in your birth year!

The Queen

1926 Rolls Royce Silver Ghost

Prince Charles                1948 Standard Vanguard

Camilla Parker-Bowles      1947 Wolseley.

Kylie         a 1968 Leyland Mini

Britney Spears          1981 Corvette.

Cars are little time capsules that reflect the hopes and vainglories of an era. Your era. And most of us would be looking at some pretty quaint old models.

Here are some cars from mathspigs family.

This is an Australian  Model T Ford or Tin Lizzie produced in the 1920s with my Grandmother at the wheel. The boy (obscured) in the photo is my father. My grandparents owned a small wheat farm at Lalbert in the Mallee, Victoria near where my grandfather  was born at – wait for it – Tittybong. The fires came in the 1930s, burnt the crop and the banks forclosed as often happened in the Great Depression. The banks not only took the car but the bridles off the horses!!! The car is important because my grandmother, Eileen, mother of 4 at the time, broke both her wrists crank starting it and her sister, Maggie, reset her sisters wrists on the kitchen table . Top Speed: 45 mph. Fuel consumption: 25 mpg (UK gallon)

My father left school at 13 to work on the farm and went to war at 19 in WWII fighting throughout the Pacific. On his return he married my mother and joined the police force. In the 1960s we, parents and 4 later 5 kids, moved to live on the police station at Kyneton, Victoria. We had the police phone in our kitchen and our car, the FC Holden (right) – ours had a pink door -was the police car. With the police phone in our kitchen, mum feeding the prisoners and our car used as the police car, I grew up in a sitcom. Later I wrote 3 books about it. Fuel Consumption: 9 l/ 100km

In the early 1970s when I went to University I had my first car. It was Horris, the Morris Minor and it was made in 1952, the year of my birth!!!! A car of some character its shock absorbers were shot so it bounced when it hit bumps. When it rained water splashed through holes near the brake while the windscreen wipers tended to flop forward and hit the bonnet (ie. hood) so in rain I had to drive with my hand out the triangular vent window holding the windscreen wiper onto the windscreen. Top Speed: 64 mph (102 kph) downhill with a tailwind. Fuel consumption: 40 mpg (UK Gallon or 5.9 l /100 km).

So here is the challenge mathspigs. Who uses more CALORIES to travel 10 km? A car produced in the year of your birth or you!!!!!!!!!!!!!!!!

Note: If you were born during WWII (1939-45) car production was limited so I will assign you an army vehicle, a 1940 Wily’s Jeep. This includes George W Bush 1946 Willys Jeep.

Car fuel consumption data can be found at Fuel Consumption Data Base for Australian cars.

Calories consumed walking @ eHOw  (Note: On this website calories mean Calories or Kilocalories)

You can work it out mathspigs. Who uses more calories?????? Man or Auto?????????

Here are a few more celebrities with the birth year cars:

Elle Macpherson                                        1963 Lotus Elite

Zac Effron                                             1987 Ford Bronco

Tiger Woods                                     1975 Volvo

Miley Cyrus                                  1992 Honda Civic

Robert Downey Jnr             1965 Impala

Kate Winslet                      1975 Triumph Spitfire

Eric Bana                   1968 Holden Monaro

Cate Blanchett          1969 Toyota Corolla

## Fang It to Me: Twilight Maths

November 24, 2009

Twilight, Stephanie Meyers vampire- romance book and film series, is a world phenomenon. Seventeen year old HIgh School student, Isabella “Bella” Swan, falls in love with Edward Cullen (Left), a vampire. But the Cullen family are ethical vampires. Though attracted to human blood; they live on the ethical alternative of animal blood. So here is the question mathspigs:

‘How much animal blood does a young male Vampire need to survive?

First we’ll collect some data. We’ll assume Edward needs the same daily intake of calories as a young human male. According to the Free Library Online article, Best Food for Young Athletes, young males between 14 – 18 years of age need 3,200 Calories per day. We’ll assume Edward needs 3,000 Calories a day.

How many Calories in Blood?

The Mayoclinic explains that 1 pint of human blood contains 650 Calories. So if you donate a pint of blood you lose 650 calories. Blood donation is not, however, a desirable weight loss program. If Edward drank human blood he would need

3,000/ 650 =  4.6 pints a day.

Note: There is great confusion on the Web about calories as the upper case ‘C’ stands for kilo in USA and is often ignored:

1 Calorie = 1 kilocalorie = 1,000 calories

But Edward has a taste for Mountain Lions (Below).  How many Mountain Lions would he need to suck on a day??????? Dr Carlisle Cullen (Right), on the other hand, prefers deer. While Emmett Cullen has a taste for the blood of Gizzly Bears(Below). As Edward, Carlisle and Emmett cannot always sink their fangs into their favourite furry food here  is some information about a range of possible Vampire Snacks.

Mountain Lion

Weight Range 75 – 275 lbs = 34 – 125 kg

Mid range Weight = 80kg

Gizzly Bear  Male

Weight Range = 180 – 360 kg

Mid range weight = 170kg

Deer

Weight Range = 100 – 350 lbs = 45 -160 kg

Mid range weight approx = 100 kg

Barn Owl

Weight = 0.45 kg

Cow

Weight Range = 1,500 lbs = approx 680 kg

Mid range weight approx = 100 kg

Shih Tzu

Weight Range = 9 – 16 lb = 4 – 7.2 kg

mid weight = approx 5.5 kg

Fat Cat

Weight = 18 lbs = 8 kg

Koala

Weight range = 7.5 – 11 kg

Mid range weight = approx 9 kg

Note: In the following calculations we will use a mid range weight for each animal snack and assume Edward can suck out it’s entire blood supply.  So Edward can empty an ocelot or koala (He might visit Australia one day and he’d be hungry!!!!) The weight of blood (Bwt)in an animal is 7% of the Animal’s Body Weight (Awt). This information comes from Animal Physiology Maths Questions. . Keep in mind if the answer is less than 1 the snack will last Edward several days. You can work out how many…… think about it.

Ocelot

Weight = 10.5 kg

Coyote

Weight = 12.7 kg

Alright Mathspig will tell you the typical weight of a pig with great reluctance. It is 110kg. But just to wet your appetite here is a little Vampire Snack I prepared earlier.

Edward would need to consume 13 Chihuahuas a day.

Run, Tinkerbelle, run!!! (That’s Paris Hilton’s dog)

## 6 Air Canada Flight 143

October 20, 2009

On 23rd July 1983 Air Canada Flight 143, a Boeing 767 ran out of fuel at 41,000 feet (12,000m) altitude, about halfway through its flight from Montreal to Edmonton. The crew managed to glide the aircraft safely to an emergency landing at Gimli Industrial Park Airport, a former airbase at Manitoba. This was some challenge. No fuel means no engines. No engines means no electronics, no steerage, no navigation. An emergency propellor driven dynamo ( similar to that used to produce light on bikes) dropped down on an arm under the plane to produce basic power for steerage. Navigation had to be by sight or calculation of speed etc. That involved some maths, mathspigs. There were no fatalities.

The Maths Error: Oops again! Muddling units of volume!

The first error was that the fuel tank gauge wasn’t working. It was to be replaced in Edmonton. The second error was a maths error. The ground crew filled the tanks according to their records. The fuel requirements were assumed to be in litres but they had been recorded in gallons.(Pic Right : Quarter of a Gallon)

Here it is the metric Vs Imperial problem again. This incident was shown on Air Crash Investigation (or Mayday) Season 5, Episode 6.

## Braindead Maths I: Fake Blood!!!!

May 26, 2009

Gather round mathspigs. Films are fiction. Surprise! Surpise!  The blood used in horror films is, obviously, fake. Do film directors use realistic amounts of blood or do they throw buckets full of fake blood into horror scenes for effect?   Here according to online fanzine (ie.slightly iffy sources) are the amounts of Fake Blood used in some films:

Kill Bill II    380 litres

Bride of Chucky :  433 litres

Freddy Vs Jason: 1,300 litres

A Nightmare on Elm St :  1893 litres

30 Days of NIght  6,000 litres

The 1997 film, Braindead, by Peter Jackson is Rated R in Australia. It has one of the most bizarre film summaries you might read: ‘A young man’s mother is bitten by a  Sumatran rat-monkey. She gets sick and dies, at which time she comes back to life, killing and eating dogs, nurses, friends, and neighbors.’ The rampant killing and  eating of dogs and nurses seems a rather random concept. The fake blood usage in this Super B Grade horror flick came with the ‘killing’ of Zombies with a lawn  mower. Actors in the film say that 300litres of Fake Blood were used in this scene.

Whereas Tarantino was quite modest with Fake Blood use in Kill Bill II. Being a connoisseur of Fake Blood he used several types in the film ranging from good splatter to free flowing blood. According to one fanzine, in this film, Uma Thurman killed 88 opponents with a sword.

Humans contain around 5 litres of blood and the heart pumps approx 5 litres per minute of blood around the body.

Accordingto New Scientist loss of blood produces the following symptoms:

0.75 litre:   feel blood loss

1.5 litre: weak, thirsty & anxious

2 litre : dizzy, unconscious