Fang It to Me: Twilight Maths

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)

Mathspig A Go Go!!!!

Mathspig is dizzy with excitement over worldwide interest in recent posts. Mathspig keeps in touch with Sarah Ebner (right )who edits the fabulous and informative   Schoolgate Blog, Timesonline (UK). Sarah highlighted my post 10 Biggest Maths Disasters in the World  last week and the response was overwhelming ( for a pig!)

 It is a part of Mathspig’s Mission to get teachers, students, anyone talking about maths. That happened. 

 Meanwhile, one of Mathspig’s favourite maths bloggers is Jeff Trevaskis ( Right. Sorry, Jeff, it’s my favourite pic of you.). Jeff teachers high school maths in country Victoria, Australia, and finds time to run Webmaths, which tackles both fun issues and serious maths. One of his recent entries was titled SMELLY JOCKS?

A recent survey published in the Courier Mail suggested that more than half Aussie men wore the same undies for up to 3 days in a row. Eghhhhhh! I suggested to Jeff that an anonymous survey of, um, male students would probably produce a Normal Distribution or Bell Curve. But we’ll have to dub this one the SMELL CURVE.

  

COMING SOON: TWILIGHT MATHS

10 Movie Cliches Debunked with Maths

Movies aren’t real. There are, however, many Movie Clichés, that look real – 100s of them including

20. A man will show no pain while taking a ferocious beating but will wince when a woman tries to clean his wounds

9. If you are being chased through town you will usually take cover in a passing St Patrick’s Day Parade- at any time of the year.

Some Movie Clichés look ridiculous when you stop to think about them. Others can be debunked using simple maths.

So mathspigs, hold on to the front bonnet (hood in the US) of the baddies escape vehicle we’re going on a hair-raising maths ride.

1.You can duck bullets.

  

When creeping around looking for a baddie in a house/apartment/disused factory our hero can duck a bullet. Especially good at ducking bullets are spy heroes James Bond and Jason Bourne.

Speed of a bullet stats: The Physics Fact Book 

Rifle Shown: .22 Rimfire T-Bolt Target/Varmint

 NEXT CLICHE: 2 You Can Out Run A Fireball!

Follow the link to the remaining cliches.  

2.You can out run a fireball.

In nearly every Action Movie our hero possibly holding hands with his love interest will run and jump ( just in time ) out of the way of explosion. eg. Man on Fire (2004) with Denzel Washington, The Marine (2006) with John Triton and Predator 2 (1990) with Danny Glover (Note: In Predator pic baddies cannot out run fireball.)

We will use car bomb stats that come from the U.S. Bureau of Alcohol, Tobacco and Firearms. (We in Australia can only assume this bureau exists because, um , there are many exploding cigars in America.) You will find these at Car Bomb Response.

   CLICHE :  3.  You Can Out Run A Machine Gun

3. You can out run machine gun fire

Indiana Jones has probably out run more machine gun fire than any other hero. But can you run from one point ot another despite machine gun fire? Here goes.

     Machine Gun M60

  

The  question that must be asked, mathspigs, is ‘Can the baddies actually miss?’

We’ll assume the baddies can sweep the machine gun fire along the path run by our hero at the same rate or faster than our hero’s running speed. To survive our hero must fit in the gap between each bullet as it passes over  his or her escape path. Here we go, mathspigs, ak-ak-ak-ak-ak-ak-ak:

4. If you are involved in a car chase, hijacking, explosion, volcanic eruption or alien invasion, you will not go into shock.

Here are just a few of the popular disaster movies: Avalanche (2001), Earthquake (1974), Armageddon (Involves meteors 1998), Deep Impact (More meteors 1998), 2012 (Tsunamis, earthquakes, the lot. 2009), Twister (tornadoes 1996), Backdraft (Fire. 1991) and Towering Inferno (They don’t make thunderous movie titles like that anymore. 1974)  

But what percentage of people involved in, say, an explosion suffer from SHOCK! There are many statistics about Post Traumatic Stress Disorder (PTSD) available. In one excellent study (The National Centre for PTSD Journal

http://www.hawaii.edu/hivandaids/Pubs/National_Center_for_PTSD_Clin/National%20Center%20for%20PTSD%20Research%20Quarterly%20Spring%201992.pdf  )

involving an explosion in a paint factory in Norway (1976), the 246 employees were ranked for their exposure to shock as follows:.

A. 66 Narrow escape

B. 59 Involved but not in danger

C. 121 Not present on the day.

 80% Group A suffered shock and PTSD. Both Groups A & B showed symptoms of PTSD 7 months later. If, say, a plane crashed into your school and your class survived with minor injuries calculate  how many students in your maths class would go into SHOCK and how many would be left to take action using the above statistics.

NOTE: Many schools in Australia today not only practise fire drills but terrorist attack lockdowns.

5. You can jump out of an airplane that is about to crash and catch the baddie who took the last parachute.

 The names Bond, James Bond. In Moonraker  with Roger Moore (1979) 007 jumps out of a plane without a parachute to avoid an assassination attempt. He catches up with, Jaws, arch-baddie, in mid-air and takes his parachute. Jaws survives his fall by landing on a big top circus tent.

In Point Break with FBI agent Johnny Utah, Keanu Reeves, leaps from a skydiving plane after Patrick Swayzes’ characer, Bohdi, who has taken the last parachute. Utah catches Bohdi in mid-air, and after a tense confrontation with a gun, both survive using Bodhi’s chute.

There are more movie and real life stories at Free Fall Website:

http://www.greenharbor.com/fffolder/fiction.html

What’s the deal? Can Utah really catch Bohdi?

Here are some stats from the  Free Fall Maths link:

http://www.greenharbor.com/fffolder/math.html

Note: We’ll assume Bhodi and Utah have equal horizontal velocities (plane exit velocity plus wind) so the following calculations only involve the vertical or falling velocity. The terminal velocities used for Bhodi and Utah are realistic estimates. We do not need the sky divers weight for these calculations but it can impact on terminal velocity so I have included this data and chute open data for general interest.

6. If the pilot dies the control tower can talk you down.

It worked for Air Force One (1997) with Harrison Ford and in Airport 75 (1974). It even worked recently in real life.

Doug White, 56, flying with his wife and two daughters, was shocked when the pilot of the Air King twin-engine plane lapsed into a coma and then died. White had his pilot’s license but he had never flown a plane as large as this.

He turned to his wife and two daughters, ages 16 and 18 and said “You all start praying hard.” Behind him, his wife trembled. Sixteen-year-old Bailey cried. Eighteen-year-old Maggie threw up. Fortunately, the control tower could relay messages from an Air King pilot to talk him down.( 13 April, 2009 The Guardian UK)

 

 The King Air aircraft is used by The Royal Australian Flying Doctor Service.

Air Speed = 545 kph   @  7,600m

Range = 3,338 km

We are going to use How to fly a plane in an emergency on the WikiHow website.     

Your pilots dead. You have to fly the plane. Open the above page. Keep it handy. Now read on but very, very FAST!!!!!!!!!

NOTE: When calculating the distance d remaining (below) I am using 1 / t   x 3,338 ie.  1 hr fuel time left/t total fuel time x 3,338

7. You can safely jump from a burning skyscraper/bridge/aircraft into water.

Tom Hanks character, Robert Langdon, hero of Dan Brown’s Angels and Demons (2009) jumps from a helicopter and falls thousands of feet into Rome’s Tiber River and survives, of course.

Ahhhh! Look up. It’s raining Tom Hanks!!!!!

There are three factors we must consider, mathspigs, when jumping or diving from a great height:

1. Surface Impact

2.Water depth

3. How long you can hold your breath.

We’ll start with water surface impact. According to the Free Fall website falling into water is not a good survival strategy. http://www.greenharbor.com/fffolder/questions.html#anchor1234566  ‘Someone falling without a parachute from more than 2,000 feet or so would be falling quite a bit faster than 100 miles per hour (161 kph) …………The folks who have survived falls into water have had streaming parachutes above them, which probably slowed their falls to the 60-mph range (97 kph). Having a streaming parachute helps in another way because it aligns the body in a position where the feet enter the water first.’

The website goes on to explain that water is an INCOMPRESSIBLE FLUID. It’s like landing on concrete. Landing in mud, on snow, on trees, on circus tents etc helps break the fall. Moreover, jumping off a bridge into turbulent sea may be safer than jumping into calm water.

The next issue is, if you are going to dive or jump into water and, miraculously survive the impact, how deep should the water  be?

Sports Smart Canada (Visual Expert Website: http://www.visualexpert.com/Resources/divingaccidents.html ) recommend that the water depth should be twice the height of the dive. Olympic divers often practise their dives in a bubble pool (like a spa). This reduces the impact for a bad dive but the water must be much deeper. So a water depth of double the height of the drop is realistic if, say, you are jumping or diving from the top of a waterfall into aerated water. You can work out appropriate depths if you were diving into water from heights such as:

Eiffel Tower:  300m

Note: You would need a big swimming pool!!!!

Sydney Harbour Bridge Clearance: 52.4 m    

Brooklyn Bridge NY Clearance Above Water: 41m

10 m Tower/ 4th Story Window:

 

 

 

 

 

Statue of Liberty Height: 93 m

Note: Assume you’re diving into water from ,say, a helicopter as in the Demons & Angels movie.

 

 

 Assuming you survive the impact of the jump and the water is deep enough, would you survive the journey down and then the swim to the surface on one breath???????

William Trubridge broke the world record in Unassisted Freediving with a dive to 88m (288ft) in 3 minutes 30 seconds on 2^nd May 2009 which you can view on Youtube