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In certain track events, example the 400m, the competitors start at different spots and not side by side like the 100m, why is that?
Question
#108150. Asked by ThurstAsh. (Aug 20 09 8:51 AM)
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gmackematix
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Let's analyse this staggered start...
Imagine an athlete on the inside of lane 1. If the straight part of the track is x feet long and the internal diameter of the semicircular parts are D feet, then the distance run by this athlete, the internal perimeter of the track is 2x+pi.D feet.
Imagine an athlete on the inside of the outermost lane.
An athletics lane is 4 feet wide so this athlete will run a perimeter where the straight, x, is the same, but the radius is bigger by 4 x 7 = 28 feet, so the diameter increases by 56 feet. The perimeter run by an athlete who starts at the same point in lane 8 is therefore:
2x+pi.(D+56)
The difference is pi.56 = 176 feet or 53.6 metres. To make a 400 metre race fair, the starts in the seven pairs of neighbouring lanes must differ by 53.6/7 = 7.66 metres.
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