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I'm Ryan Lowe, a Software Engineering graduate living in Ottawa, Canada. I like agile software development and Ruby on Rails.
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Thoughts on the Physics of Inline Skating
I'm rusty at physics but I'll try to do the best I can here. I'm going to try to talk about inline skating, pacing and friction. Inline skates usually have 4 or 5 wheels on each skate. Each wheel contains ball bearings which let it spin with a minimum amount of friction. These bearings are greased or oiled to minimize friction. There is, however, still friction there -- and it gets worse as the ball bearings age and wear out with use and the lubricant wears out or is contaminated by dirt. The other friction occurs where the skates meet the road. You'll notice that skating on a smooth surface is much easier than a rough one and takes less effort. This is the road on wheel friction working against you. You, of course, are pushing against these two forces of friction with kinetic energy released by muscles in your legs. Skating is not a completely forward force -- it has a little bit of side to side lateral rocking motion involved to it. So the total force excerted by a person is broken down into forward and side to side forces. Any energy used for side to side motion is energy wasted in the fight against friction but nevertheless useful for things like balance and the fluidity/ease of the skating motion. So we have three forces involved: the force of friction of the road, the force of friction of the ball bearings in the skate's wheels and the forward force of the person that is skating forward. To have sustained movement on inline skates a person has to constantly fight against the two opposing forces to maintain speed because those forces will work to decelerate him. The person has to excert more force to get up to speed from zero velocity (rest) but once at a pace speed he only has to excert enough force to beat friction in order to maintain the speed. So there's seems to be a certain maximum efficient speed (call it MES) that can be reached where a person is exerting the minimum amount of effort to beat friction but still maintain a high speed. The MES is of course dependent on the level of the two forces of friction: the road and the bearings. There are a lot of other factors too, like how the skate it put together and lubricants, which affect energy transfer. The road you have no control over, but you do have control over how much friction occurs on the ball bearings because the faster you go the more friction is subjected to them. So from this you can say that there's a maximum efficient speed for the bearings themselves, which is directly proportional to your MES. People tend to think that this is due largely in part to the quality of the bearings: a lot of inline skate bearings are manufactured based on the ABEC scale. The higher the rating, the more expensive the bearings. Apparently bearing quality has little to do with speed -- it is more a factor of choice of bearing lubricant and the fit of the skate components. Of course a more expensive wheel may have a better lubricant as well, to compliment a higher ABEC number. So the trick to pacing yourself is this: try to max out the efficiency of the bearings as much as possible. For me this is much less than the speed that I could be skating at but if I did go faster I'd just be wasting energy fighting the increased friction of the bearings. This increased friction only decelerates me quicker and tires me out. There's a certain point where if you want to go faster you'll have to buy a higher quality bearing or skate (or just get stronger and have more stamina to constantly fight the losing battle against the increased friction). Speedskaters sometimes use skates with more wheels. Do more wheels increase speed? More wheels could improve the skater's balance but they could also get in the way of a stride. Speedskaters tend to be leaned over more with a lower center of gravity so they already have a balance advantage over most people. Though speedskaters (on road or ice) seem to use a much different and longer stride than, say, hockey players or recreational skaters. From a physics point of view more wheels means more friction, right?. Well, not really. The friction is partly a function of the load weight on each wheel (downward force of gravity). If you have more wheels then the weight of the person is more distributed and the downward force on each wheel is less. So this actually decreases the friction experienced on each wheel. This is especially true for the road friction but maybe also marginally true for the bearing friction, where gravity has less of an impact. Another way for skaters to be more efficient is to concentrate on skating technique. Like I said above, a lot of exerted energy is "wasted" on lateral motion. This motion is never used in the fight against friction but if it were you would surely go faster with less fatigue. So an improved technique that translated a larger percentage of the exerted energy into forward force would also help. Personally I try to use a longer stride and keep the lead skate (the skate not pushing) as straight ahead as possible to lessen side to side motion. As your balance improves with practise you can take longer strides (balancing on one skate essentially) and have less lateral motion. A good way to practise this is to purposely balance on one skate for few metres, especially while leaning forward as in a normal stride. Incidentally, this whole discussion could also be easily used with ice skating. The only difference is that ice skating just has the one force of friction between the skate blade and the ice and that opposing force is much less than road or bearing friction. Of course that all depends on the quality of the ice. :) So that's my rather long intepretation. If you made it this far, any thoughts? Posted at April 21, 2004 at 01:59 AM ESTLast updated April 21, 2004 at 01:59 AM EST Comments
I made it to the end. You've made me want to dig out my skates (which weren't used last season) and put new bearings in them. ;) Good analysis, however I wouldn't discount the effect of air friction. I'm sure there's a degree of leaning forward that contributes to the MES as well. Well, you mentioned the leaning, but in the context of balance. » Posted by: aharden at April 21, 2004 09:55 AMI've thought about air friction too, and thought maybe it was all mental: even though you think you're going slower you actually aren't. Your body is just used to using the wind passing you as a speed indicator ... with more wind passing against you, it seems like you are going slower. But then again "air friction" (drag I think it's called) probably has more of an impact than we think. Your stance and clothing have a lot of impact on how air flows around your body as you skate. I'll keep the leaning going, but don't worry -- you won't see me wearing spandex any time soon. ;) » Posted by: Ryan at April 21, 2004 10:44 AMFrom what I can remember, the amount of friction that is experienced on the bearings is not a factor of the speed at which they are turning. The friction that is experienced is kinetic friction and therefore dependent on the normal force experienced on the bearings. So the amount of friction will be the same unless you are pushing harder towards the ground. Yet wheel wobble may be increased at higher speeds so this may be what you are referring to when mentioning increased friction at higher speeds. » Posted by: James at April 21, 2004 12:44 PMJames: I would guess that more friction at higher speeds is probably a result of the lubricant breaking down and being less effective at higher speeds/temperatures. The speed limit seems to be more related to the lubricant given equal bearings. Of course older, worn out bearings will not perform as well as new ones either. Where does this normal force on the bearings come from? Is it centrifugal? BTW, yes there is a load on the wheel, though it's hard to say how/if it is transfered to the bearings themselves. I guess it depends on how they are assembled. » Posted by: Ryan at April 21, 2004 12:52 PMHi, I think that not thinking about air resistance (drag) is a big mistake. As I know in cycling at speeds about 40 km/h it's about 90% of all resistance, in skating it can be a bit less but still it's a lot. I've been clocked at 40 km/h before by a guy with a bicycle speedometer on Colonel By Drive in Ottawa on a Sunday a few years ago. I didn't have much wind on me at the time and was on excellent pavement but I didn't feel too dragged down. I was going full sprint though, so it may be hard to tell. I wear pretty baggy clothing when I skate ... while I imagine that spandex and a good helmet would lessen drag significantly at high speeds, I don't think you'll be seeing me in them too soon. :) I'm not too concerned about speed because I don't race. In fact, it's almost better if I don't go too fast -- the resistance is a better workout over less distance and time. Plus, it's much safer to skate at lower speeds. If my bearings were optimally oiled and I was all spandexed out I probably wouldn't get as much exercise. That's why I'm not in a rush to get new skates either, except that the padding in my current pair isn't that great. Interesting you compare to cyclists though -- they have little to no lateral movement, so their drag "profile" would be roughly the same all the time. They can even crouch down to improve this, and the frame of the bike could help "split" the air stream, so to speak. Inline skaters on the other hand, have their chest and hips exposed to the air moving past them ... that can't help with air resistence, even if they are crouched low. The drag would probably be worse at the same speed as a cyclist. Good point about wheel size, I forgot about that. That's pretty simple ratio math, just like gears on a bike. » Posted by: Ryan at May 10, 2004 12:25 PMDo you have thoughts about up hill dynamics Does anyone have measurements of the LOCKED-WHEEL friction between skate wheels and concrete? » Posted by: Ray Brach at February 16, 2005 10:54 AMRay: it would probably depend on a) what the wheel is made out of and b) how worn out it is. » Posted by: Ryan at February 16, 2005 10:57 AM |