Harry Potter Needs Maths

What has Harry Potter to do with Maths?

Watch this video of Harry Potter and the Half Blood Prince: Death Eater Attack.

You can click on the link here or below (Video will only play on You Tube site):

……………………………………………………………………

 ……………………………………………………………………………………….

A recent article in The Guardian, UK, explained the link between Harry Potter and Maths:

‘(Alex)Hope, managing director of the visual effects firm Double Negative said: “In Harry Potter [and the Half Blood Prince], the opening sequence has Death Eaters flying across the river Thames, destroying the (Millennium) Bridge between St Paul’s and the Tate Modern.’

“The way you create that is people who understand computational fluid dynamics, they know how water moves. They take the physics that’s used in modelling rivers and the flow of water and apply that in our world. People doing it need an artistic sensibility as well. An understanding of maths and science is fundamental to many of the disciplines in our industry.”

Fluid Dynamics is the study of fluid flow. You can look at this picture (below) and see the similarity to the Death Eaters water-flowy appearance.

Here is a experiment showing lamina Vs turbulent flow in water. Mathspig did experiments like this at university in Chemical Engineering. Equations can be scary, mathspigs, but not necessarily.

Here is a water flow equation for a sharp edged weir with a V notch out let from AQUATEXT:

Q = 0.266 x cB x (2g)^0.5 x H^1.5

where;

Q = water flow rate, m³/sec

B = width of the weir at the flowing rate

c = discharge coefficient, average 0.62

g = gravitational constant, 9.81

H = Height of the water over the weir, measured behind the weir edge, m

………………………………………………………………………..

Here is a real flood caused when water was released from a real weir or dam.

In 2011 operators of the Wivenhoe Dam in Queensland (above) had to release water to stop the dam collapsing during severe floods.  8,000 properties were flooded.

………………..

More @ News Limited 

Combine the flow maths for a weir (equation above) with computer graphics and you have a realistic flood film sequence!!!!!!

Or maybe a really unrealistic but terrrrrrrrifying sequence:

Aghhhhhhhhhh!!! We’re all gonna die or …. like …

have a really amazing white water raft ride, maths dudes!!!!!!!

1. THE GREAT Backpack ATTACK!!!

There is a lot of maths in backpacks. We’ll start with simple angles.

Students can also look at the design of the backpack to lower the Centre of Gravity, reduce pressure on shoulders and look cool as well as methods of packing the backpack to increase stability.

2. School Rulers Rule, Right!

Karate  chopping the end off a wooden school ruler has always been a classroom sport.

To karate chop a ruler the following equation applies:

Now we can have some fun, mathspigs.

We will do some calcs to compare the force, F,  required to karate chop a piece off a wooden ruler staring at 10cm length and working back to shorter and shorter lengths. These calcs also work in inches.

But when you karate chop a ruler you hold one end down with you other hand. So what is the ideal point on the ruler to act as the fulcrum for easiest karate chop force? You can find more information on levers at the Robinson Library.

You can, surprisingly, use a piece of newspaper to hold the ruler in place.  Check it out at Kingsford School.

3. Pee Physics or Splatter Free Geometry for Boys

This is a mobile urinal. Mathspig has seen these VERY PUBLIC urinals in Paris.

Maths is everywhere, even in the boys toilets … not that Mathspig ever ventures in there.

But I’ve often given talks to boys about acting tough. Can anyone be tough all day? How?

Do you karate chop your Wheatbix at breakfast?

Do you threaten yourself in the mirror with your toothbrush cleaning your teeth? When you go pee what do you do?

Pee on the ceiling?

Everytime I asked this question some kid would yell from the back of the room ‘I can do it?’

As a girl, Mathspig has to ask why?

Why would you want to pee on the ceiling … even allowing for exaggeration?

Who wants to stand in a toilet with their own pee dropping on their head? Don’t answer.

But, thanks to Mancouch and their Physics of Peeing diagram I can see that peeing angle is important.

But what is that angle, boy, mathspigs????

For easy calculations we’ll assume the flow is in a straight line. Thank you for your attention.

4. The Spit Radius or How Far are You Gonna Split to Avoid a Spit Hit!

Kids often threaten to spit on other kids with spit globs, pips or mushed up paper. How far should a kid stand back from the spitter?

Spit will travel in a parabola EXCEPT into or with the windor out the window of a traveling car………

Look at the parabola. To have the spit glob travel further the spitter should aim up in the air!!!

You’ve been warned.

The Guinness Book World Record for spitting a Watermelon Pip stands at stands 68 feet and 9 1/8 inches or 20.96m and was  set by Lee Wheells of Luling in 1989.

If you think this is all for fun, you are dead wrong mister. Watermelon spitting in Luling is serious business. There are official seed-spitting songs and yells: “Come on everybody, take a look, (insert name) gonna spit into the record book….”

Check out the next Watermelon Thump Championship at Luling, Texas on their website.

Meanwhile, you might just check out your own spitting distance at home … and use it as a spit distance safety benchmark.

Note: A mobile spit will travel further. Why?

5 . Chair Physics or Why Heads Will Roll!!!!

Teachers hate kids leaning back on chairs for a good reason.

They may not lose their head, but they could lose a few brain cells if they fall. It’s all to do with angles, but I suggest you use an empty chair or, if you like Myth Busters, perhaps you could use a dummy.

This is not a dummy.

The Centre of Gravity rules for stability apply to a person sitting in a chair is the same way the rules apply to a kid with a backpack.

For more information this is a cool GCSE Physics link using Batman and Centre of Gravity.

This is a really cool school chair trick. The image may not appear on your iPad.

This is just a really cool chair.

6 Bubble Gum Maths

Can you blow a bubble bigger than your head.? You can work it out mathspigs? You will need lots of bubble gum.

The largest bubble ever blown was 23 inches or 58 cm in diameter.

The record was set July 19, 1994 by Susan Montgomery Williams of Fresno, CA. (Guinness Book of World Records 1998).

Read more about the largest bubble gum bubble.

7 The Coolest Paper Planes on the Planet

You need brains to make paper planes. The work involves symmetry and also aerodynamics.

Now Mathspig recommends paper planes making as a Friday Maths Madness activity.

Put a waste paper bin on the front desk and every time students finish a problem or a set of problems they can write their name and answer(s) on a paper and fold it into a paper plane and aim it into the bin.

The most correct answers IN THE BIN wins a prize!!!!

This exercise involves multiple skills.

Here is a cool paper plane.

8. How Much of Your Life will Your Spend @ School?

You can work it out mathspigs:

Days @ school per year X hours per day = ?????

Remember the average stay in prison for murder in Australia is between 10 and 12 years. Are you feeling lucky, punk?

9. Canteen Maths or Survival of the Smartest

You are on your own here mathspig. But when it comes to canteens you have to be smart, really smart, to survive.

Look at the maths!!!

Avoid that fattening water!!!

Ohh no, not ass pudding again!!!!!