Why stagger is needed in a track race?

Transcript

Why stagger is needed in a track race? Runners on different tracks run the same straight distance But, Runner on Track 2 will have 1.22 m more semicircle radius than Runner on Track 1 Similarly, , Runner on Track 3 will have 1.22 m more semicircle radius than Runner on Track 2 Note: Here 1.22 m is track width, so radius will be that much more Finding Stagger To find the stagger, we need to calculate how much extra distance the runner in the 2nd lane would travel if they started at the same line as Lane 1. Now, The straight sections are identical for both runners, so we only need to look at the curves (which form one full circle) Lane 1 effective radius =𝟑𝟔.𝟖" " 𝐦 Lane 2 effective radius =𝟑𝟔.𝟖+𝟏.𝟐𝟐=𝟑𝟖.𝟎𝟐" " 𝐦 We need to find the difference in their circumferences: 2𝜋(𝑟_2 )−2𝜋(𝑟_1 )= 2𝜋(𝑟_2−𝑟_1 ) Since the difference in radius ( 𝑟_2−𝑟_1 ) is just the lane width ( 1.22 m ), the formula for the stagger is simply: 𝟐 × 𝝅 × 𝟏.𝟐𝟐 Using 𝜋≈3.1416, Stagger = 2 × 3.1416 × 1.22≈𝟕.𝟔𝟕𝐦 Thus, Runner in the 2nd lane needs a stagger of 7.67 m Similarly, Runner in the 3rd lane needs a stagger of 7.67 × 2 = 15.34 m