Indoor skydiving as an Olympic sport?

I was lucky enough recently to visit a relative in California with a house above the San Francisco Bay.  How excited was I when I realised I could see NASA Ames’ Moffett Field across the bay?  This houses Hangar One, an old airship hanger like something out of Flash Gordon, and the World’s largest wind tunnel, used to test the Space Shuttle.

Moffett Field and NASA Ames Research Centre.  The wind tunnel inlet is clearly seen towards the bottom of the picture.  Hanger One is towards the top of the picture.

Flying inside a wind tunnel

One minute I was marvelling at a wind tunnel so big you can see it by eye from 15 miles away and the next, the family had dragged me away to fly in one.  You might have seen them from the motorway: there is a fashion for indoor skydiving where you fly inside a vertical windtunnel tube around 4 m across and 20m high.  It is driven by four 80 kW motors and the upwards force of the 160 mph wind on your body cancels out your body weight so that you hover in a similar fashion to free-falling at terminal velocity (i.e. at 160 mph) from a plane.  Subtle adjustments to your hands and feet cause you to rotate or even tumble.

The instructor inside the working section, Brandon, and his pal outside in the control booth skillfully controlled the power of the loud fans to shoot you high into the vertical tube and then let you drop gently back down onto the floor of the safety cage.   I noticed that the larger ones amongst us needed the fans on high and Brandon was pretty relaxed, letting us control our own ‘flight’.  The kids, however, were gripped tightly as they almost rattled from side to side. The instructor showed off at the end doing fantastical loop-the-loops in the tight confines of the tube.

The sportsman in me thought, why isn’t this in the Olympics? And then the science geek in me thought – what’s the physics of this?  And what are the key influencing factors for a good performance?

The physics of indoor skydiving

If you are floating stationary so that the upward wind force and your downwards weight cancel out then the forces are in equilibrium.  The ratio of these two forces reduce to cross-sectional-area/mass (see equations at end) and gives a merit index of how well you will float for a given wind speed; a high number means that it is easy for you to float and only a low wind speed is needed and vica versa.  Working out your cross-sectional area is not the easiest thing to do but one way to guess if you know your height and weight is to use an equation create by Bassett et al. (1999) for cyclists (see equations and reference at end).  In fact, I am beginning to think that there is only one or two equations in sport of which the one for drag force is the key (see the earlier blog on cycling for instance).

Once you’ve worked out how to calculate cross-sectional-area/mass, you find some interesting things. Let’s take a kid in our group – he was about 1.2 m (4 ft) tall and about 45 kg (100 1b) in mass – and compare him to me (1.93 m tall and 79 kg in mass).  His merit index is 5.1 compared to my 4.6 so that he floats more easily and needs a lower wind speed to stay in the air.

The subtleties of flight are controlled by stretching your arms out and pulling them in: a bigger cross-sectional area makes you go up while a smaller one makes you drop.  The graph below shows that the merit index drops when you pull your arms in so you float less easily.  What is interesting about the difference between the kid and me, is that my merit index has both a lower value and also a lower gradient – this means that I am less susceptible to minute changes in my body posture and surface area. For the kid, however, not only is he likely shoot up into the wind tunnel if the wind speed is too high, but he is also less stable.

Skydiving in the Olympics?

So, is indoor skydiving a sport?  Could it be in the Olympics? Of course, any physical skill soon leads to someone setting up a competition and certainly there seem to be plenty around, including one at the tunnel I used.  And indoor skydiving is no more bizarre than some of our commonly accepted Olympic sports – fencing, diving, polevault, javelin, snowboard, bobsleigh…I could go on.  In fact, the more I work in sport, the more bizarre it becomes since the challenges we set our Olympians are completely arbitrary.  Let’s try indoor skydiving as a demonstration sport and see what happens (although you won’t see me winning anything on the performance I gave the other day).

Equations:

where A is area, rho is density, Cd is drag coefficient and v is air speed.

where H is height in metres, m is mass in kg and A is cross-sectional-area in m squared

The merit index M for the ease of flying in the windtunnel is given by the drag force divided by the weight mg where m is the mass:

Reference:

Bassett, D. R. J., Kyle, C. R., Passfield, L., Broker, J. P. and Burke, E. R. (1999). Comparing cycling world hour records, 1967-1996: modelling with empirical data. Medicine and Science in Sports and Exercise, 31(11), 1665-1676.)

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About stevehaake

Steve did a first degree in Physics at the University of Leeds before landing two job offers: the first with BT turned out to be in a porta-cabin in the middle of a marsh, while the second was supposed to be image processing but was really smart-bomb design. This left a third option – a PhD in the mechanics of golf ball impacts on golf greens for a person who’d never hit a golf ball. It was a simple choice (the PhD if you didn’t guess) which led 25 years later to being head of a research team of 30-40 looking into similarly unlikely topics. Highlights of the career so far? The early years setting up the ISEA with the likes of Steve Mather, Ron Thompson, Clive Grant and Ron Morgan; the fact that the 1st International Conference on Sports Engineering in Sheffield in 1996 didn’t also turn out to be the last; and getting out the first issue of the first journal on Sports Engineering in 1998. The absolute high point, though, was being in the British Club in Singapore as a guest of the High Commission when the bid for the 2012 Olympics was announced. This has led to the team delivering projects with Olympic athletes that every scientist with a love of sport can only dream of. Steve is now a Senior Media Fellow funded by the EPSRC to encourage the public to engage in science, particularly in the lead up to the London 2012 Olympic Games.