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After the race, Kenji and Yumi decide to let the crowds from the race disperse before they make their way back to Vancouver, so they decide to take a stroll through Whistler Village. They are both amazed by Whistler’s stunning beauty. A Swiss tourist named Leonard Oiler starts talking to Kenji and Yumi. Leonard: Did you know that Whistler has the greatest vertical and usable terrain for skiing and snowboarding of all the winter resorts in North America? I am on my way to Vancouver to watch the Long Track Speed Skating! However, I’ve been thinking of the event and I can’t figure out a geometry question about the track. Can one of you help me? Kenji and Yumi look at each other –nod- and then Kenji says, “We can certainly give it a try.” An official speed skating long track is called a 400 metre oval. An Olympic oval is laid out with three lanes. The lanes are between four and five metres wide, and competitors race in the two outer lanes (the "inside" and "outside" lanes). The third lane is used for warming up.In the picture below, the red path is the path that a skater competing in the 500-metre race follows. Because the inside and outside turns are different lengths, the skaters cross over on the backstretch so that they do the outside turn and the inside turn once each. This skater starts in the outside lane, then crosses over to the inside lane.
Leonard: Yumi and Kenji, did you know that the ice speed skaters skate on is only 2cm thick? Yumi: Is that all? I wonder how much water is required to make the ice? |
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