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 Engineering team images tiny quasicrystals as they form
18.08.2017 | Cornell University

nachricht Astrophysicists explain the mysterious behavior of cosmic rays
18.08.2017 | Moscow Institute of Physics and Technology

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: Fizzy soda water could be key to clean manufacture of flat wonder material: Graphene

Whether you call it effervescent, fizzy, or sparkling, carbonated water is making a comeback as a beverage. Aside from quenching thirst, researchers at the University of Illinois at Urbana-Champaign have discovered a new use for these "bubbly" concoctions that will have major impact on the manufacturer of the world's thinnest, flattest, and one most useful materials -- graphene.

As graphene's popularity grows as an advanced "wonder" material, the speed and quality at which it can be manufactured will be paramount. With that in mind,...

Im Focus: Exotic quantum states made from light: Physicists create optical “wells” for a super-photon

Physicists at the University of Bonn have managed to create optical hollows and more complex patterns into which the light of a Bose-Einstein condensate flows. The creation of such highly low-loss structures for light is a prerequisite for complex light circuits, such as for quantum information processing for a new generation of computers. The researchers are now presenting their results in the journal Nature Photonics.

Light particles (photons) occur as tiny, indivisible portions. Many thousands of these light portions can be merged to form a single super-photon if they are...

Im Focus: Circular RNA linked to brain function

For the first time, scientists have shown that circular RNA is linked to brain function. When a RNA molecule called Cdr1as was deleted from the genome of mice, the animals had problems filtering out unnecessary information – like patients suffering from neuropsychiatric disorders.

While hundreds of circular RNAs (circRNAs) are abundant in mammalian brains, one big question has remained unanswered: What are they actually good for? In the...

Im Focus: RAVAN CubeSat measures Earth's outgoing energy

An experimental small satellite has successfully collected and delivered data on a key measurement for predicting changes in Earth's climate.

The Radiometer Assessment using Vertically Aligned Nanotubes (RAVAN) CubeSat was launched into low-Earth orbit on Nov. 11, 2016, in order to test new...

Im Focus: Scientists shine new light on the “other high temperature superconductor”

A study led by scientists of the Max Planck Institute for the Structure and Dynamics of Matter (MPSD) at the Center for Free-Electron Laser Science in Hamburg presents evidence of the coexistence of superconductivity and “charge-density-waves” in compounds of the poorly-studied family of bismuthates. This observation opens up new perspectives for a deeper understanding of the phenomenon of high-temperature superconductivity, a topic which is at the core of condensed matter research since more than 30 years. The paper by Nicoletti et al has been published in the PNAS.

Since the beginning of the 20th century, superconductivity had been observed in some metals at temperatures only a few degrees above the absolute zero (minus...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

Event News

Call for Papers – ICNFT 2018, 5th International Conference on New Forming Technology

16.08.2017 | Event News

Sustainability is the business model of tomorrow

04.08.2017 | Event News

Clash of Realities 2017: Registration now open. International Conference at TH Köln

26.07.2017 | Event News

 
Latest News

A Map of the Cell’s Power Station

18.08.2017 | Life Sciences

Engineering team images tiny quasicrystals as they form

18.08.2017 | Physics and Astronomy

Researchers printed graphene-like materials with inkjet

18.08.2017 | Materials Sciences

VideoLinks
B2B-VideoLinks
More VideoLinks >>>