Archive for the ‘Cool Maths Careers’ Category

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Harry Potter Needs Maths

February 1, 2012

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):

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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 H1.5

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

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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.

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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!!!!!!!


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Formula One Car Designers need Maths

February 1, 2012

In a recent article in The Guardian, UK Ian Wright, the chief engineer for vehicle dynamics with the Mercedes AMG Petronas Formula One team, said: “There’s definitely a shortage of the right people. What we’ve found is that somebody spot on in terms of the maths can’t do the software; if they’re spot on in terms of the software, they can’t do the maths.”

Mathspig looked up the Mercedes AMG Petronas Formula One website and found this ad:

Senior Mechanical Designer (or Design Engineer)

Knowledge of Catia V5, suspension systems, vehicle dynamics, hydraulic systems and composites would be an advantage. Flexibility in hours and approach is required, along with a positive ‘can do’ attitude and the skill to communicate effectively. The ability to work unsupervised and with a very high degree of drive and self-responsibility is essential.

Well, of course, mathspigs, you need a high level of drive to work in a Formula 1 team, but you also need maths. See Can a Formula 1 Car drive Upside Down?

There is a lot of maths in designing F1 racing cars.

Simple Maths

More @ racemath

to complex maths involving aerodynamics


More @ Build Your Own Racing Car

Formula One Design

The following video gives a very good insight into Formula One Car Design and Aerodynamics

Formula One Design Maths

Here is a grab of Formula One Design Maths from Formula1 Website:

The Bernoulli principle has a big role in the operation of the aerodynamic surfaces of an F1 car. The Bernoulli principle is expressed by an equation, which states that for a given volume of fluid, the total energy remains constant. This means that when a fluid is in relative motion, the energy is split into the ‘parts’. The sum of these parts will not exceed a certain value, which will remain constant as long as the external conditions do not change.

The three parts of the total energy are:

1)  The pressure energy within the fluid.


2)  The movement of the air (kinetic energy)


3)  The potential energy of the air (in this case, elevation)

This can be written as:

p + 1/2 r v2+ rgh = some constant

p = Pressure


r = Density of fluid


v = Velocity of fluid


g = Acceleration due to Gravity


h = Height of fluid above some reference point


Your average track is fairly level, so a race car will not have enough change in elevation to make the potential energy a variable, so we take this potential energy as a ‘constant’and therefore are able to remove it from the equation. This leaves us with:

p + 1/2 r v2 = some (other) constant

We can rewrite this as:

p + q = H

p = static Pressure


q = 1/2 rv2 = dynamic pressure


H = some (other) constant

This basically means that if the dynamic pressure increases, the static pressure has to decrease and if the dynamic pressure decreases, the static pressure will increase. This means that if we speed up a fluid, the pressure will fall.

CONCLUSION, mathspigs,

Formula 1 Car Designers need maths.

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Maths will build a bridge, hopefully!!!!!

February 1, 2012

Engineers need maths.

They (hopefully) calculate stresses and loads on structures BEFORE the building, bridge, airport is built.

Not only do you need maths, mathspigs, to ‘virtually’ destroy the Millenium Bridge in a Harry Potter film, you need maths, obviously, to build the real bridge. Unfortunately, the engineers made a big Boo Boo! They didn’t allow for pedestrian feedback causing sway or wobble. See 10 Biggest Maths Disasters in the World

Here is what happened to the Millennium Bridge

Vibration of the London Millenium Footbridge Maths

Here’s a little grab of the maths showing the pedestrian feedback loop causes wobble.

‘ we see that phase of the pedestrians’ feedback force is leading the output displacement of the bridge deck by an angle which becomes exactly  at the resonant frequency . This of course is what we expect for a negative damping force.’


Lego engineers need maths. 

Lego bridges can be VERY strong.

This is a LEGO MILLENIUM BRIDGE.

But this is NOT a suspension bridge. It is just a model. Here is a FANTASTIC site @ EXPLAIN THAT STUFF showing how bridges work.

A REAL Lego suspension bridge can hold a very heavy load.  Here is a Lego suspension bridge built at LegoWorld 2005. The break load for this Lego bridge was 40kg  (88 lb). This bridge could support a kid.

Here are two other Lego Bridges. The break load for the next bridge was 76 kg (167 lb). The break load for the third bridge was > 100 kg  (220 lb). These bridges could support an average sized adult.

A Neat Lego (Suspension) Bridge on You Tube. *


* Observe neat bridge Vs Unmade bed!

But here is Mathspigs FAV Lego bridge.

Not exactly a suspension bridge but very strong. And this was a kid experiment!!!!!!

Break load = 30.3 kg ( 66.8 lb)

See the next post for some fabulous Lego Maths. In the meantime, if you are going to build a bridge, perhaps, you should do it with maths not love. This is a truly spooky video from Cher and co. Wait for the chorus.