Forum for Science, Industry and Business

Sponsored by:     3M 
Search our Site:

 

Sex and the City stars stay upright because h=Q.(12+3s/8) say scientists

22.03.2004


As Sex and the City’s Carrie finally wanders off our television screens, physicists at the Institute of Physics have devised a formula that high-heel fans can use to work out just how high they can go. Based on your shoe size, the formula tells you the maximum height of heel you can wear without toppling over or suffering agonies.

h = Q.(12+3s /8)

h is the maximum height of the heel (in cm)



Q is a sociological factor and has a value between 0 and 1 (see below to work this out)

S is the shoe size (UK ladies sizes). This factor makes sure that the base of support is just good enough for an experienced and sober, high-heel wearer not to fall over.

“Although at first glance our formula looks scary” said Dr Paul Stevenson of the University of Surrey who carried out the research for the Institute, “It’s actually pretty simple as it’s based on the science you learnt at school and which you never thought you would use in real life, in this case Pythagoras’ theorem (1) Applying this to shoes can tell us just how high the heel of the foot can be lifted above the ground.”

Dr Stevenson went on to describe how ‘Q’ – the essential sociological factor had been worked out.

“Essentially this part of the formula explains what women have always known – that you don’t buy shoes just because they are comfortable, you can afford them and they look good – many other variables come into play”

‘Q’ is defined as follows:

p.(y+9).L
Q = ----------------------------------
(t+1).(A+1).(y+10).(L+£20)
The variables are:

p – the probability that wearing the shoes will help you ‘pull’ (in a range from 0 to 1, where 1 is pwhooar and 0 is stick to carpet slippers). If the shoes are a turn-off, there’s no point wearing them.

y – the number of years experience you have in wearing high heels. As you become more adept, you can wear a higher heel. Beginners should take it easy.

L – the cost of the shoes, in pounds. Clearly, if the shoe is particularly expensive, you can put up with a higher heel.

t – the time since the shoe was the height of fashion, in months (0 = it’s the ‘in thing’ right now!). One has to suffer for one’s art, and if the shoes are terribly fashionable, you should be prepared to put up with a little pain.

A – units of alcohol consumed. If you’re planning on drinking, be careful to give yourself a little leeway for reduced co-ordination.

So using this formula, if Carrie Bradshaw, who is an experienced high-heel wearer (let’s guess at 5 years experience) wears her latest drop-dead gorgeous designer originals when sober, she can cope with a heel height of a staggering 12.5 centimetres (just over 5 inches).(2) However, if she over-indulges in cocktails, the ‘safe’ heel height (and perhaps also Carrie) plummets. Using the same example as above, if she consumes 6 units of alcohol she would be better advised to stick to shoes with only 2cm heels(3).

Laura Grant, a physicist from Liverpool University welcomes the Institute’s new formula commenting, "many of my physicist colleagues have no trouble understanding quantum mechanics but can’t figure out how women can wear high heels. Now I can explain to them how I minimise the probability of tripping up”.


The Institute of Physics website, physics.org has more fascinating facts on the physics of shoes, including high heels. Just type ‘high heeled shoes’ into the enquiry box.

1 Pythagoras theorem: In a right-angled triangle the square on the hypotenuse (longest side) is equal to the sum of the squares on the other two sides.

2 In this example, shoe size (s) is 6
p = 1, y = 5, L = £300, t = 0, A = 0 giving a Q factor of 0.88
so heel height is 12.54 cm

3 As above but with A (alcohol) = 6, Q factor falls to 0.15, giving a heel height of 2.01cm

Dianne Stilwell | alfa
Further information:
http://www.iop.org

More articles from Physics and Astronomy:

nachricht One-way roads for spin currents
23.05.2018 | Singapore University of Technology and Design

nachricht Tunable diamond string may hold key to quantum memory
23.05.2018 | Harvard John A. Paulson School of Engineering and Applied Sciences

All articles from Physics and Astronomy >>>

The most recent press releases about innovation >>>

Die letzten 5 Focus-News des innovations-reports im Überblick:

Im Focus: Molecular switch will facilitate the development of pioneering electro-optical devices

A research team led by physicists at the Technical University of Munich (TUM) has developed molecular nanoswitches that can be toggled between two structurally different states using an applied voltage. They can serve as the basis for a pioneering class of devices that could replace silicon-based components with organic molecules.

The development of new electronic technologies drives the incessant reduction of functional component sizes. In the context of an international collaborative...

Im Focus: LZH showcases laser material processing of tomorrow at the LASYS 2018

At the LASYS 2018, from June 5th to 7th, the Laser Zentrum Hannover e.V. (LZH) will be showcasing processes for the laser material processing of tomorrow in hall 4 at stand 4E75. With blown bomb shells the LZH will present first results of a research project on civil security.

At this year's LASYS, the LZH will exhibit light-based processes such as cutting, welding, ablation and structuring as well as additive manufacturing for...

Im Focus: Self-illuminating pixels for a new display generation

There are videos on the internet that can make one marvel at technology. For example, a smartphone is casually bent around the arm or a thin-film display is rolled in all directions and with almost every diameter. From the user's point of view, this looks fantastic. From a professional point of view, however, the question arises: Is that already possible?

At Display Week 2018, scientists from the Fraunhofer Institute for Applied Polymer Research IAP will be demonstrating today’s technological possibilities and...

Im Focus: Explanation for puzzling quantum oscillations has been found

So-called quantum many-body scars allow quantum systems to stay out of equilibrium much longer, explaining experiment | Study published in Nature Physics

Recently, researchers from Harvard and MIT succeeded in trapping a record 53 atoms and individually controlling their quantum state, realizing what is called a...

Im Focus: Dozens of binaries from Milky Way's globular clusters could be detectable by LISA

Next-generation gravitational wave detector in space will complement LIGO on Earth

The historic first detection of gravitational waves from colliding black holes far outside our galaxy opened a new window to understanding the universe. A...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

VideoLinks
Industry & Economy
Event News

Save the date: Forum European Neuroscience – 07-11 July 2018 in Berlin, Germany

02.05.2018 | Event News

Invitation to the upcoming "Current Topics in Bioinformatics: Big Data in Genomics and Medicine"

13.04.2018 | Event News

Unique scope of UV LED technologies and applications presented in Berlin: ICULTA-2018

12.04.2018 | Event News

 
Latest News

Molecular switch will facilitate the development of pioneering electro-optical devices

24.05.2018 | Power and Electrical Engineering

Research reveals how order first appears in liquid crystals

23.05.2018 | Life Sciences

Space-like gravity weakens biochemical signals in muscle formation

23.05.2018 | Life Sciences

VideoLinks
Science & Research
Overview of more VideoLinks >>>