| 400 m displacement 14:08 - Mar 4 with 1288 views | harveybell05 |
on a 400 metre track the total displacement would be 400m as the start and finish line are the same place but does anyone know the displacement for each 100 metre segment please given that the home and back stretches are curved. |  | | |  |
| 400 m displacement on 14:37 - Mar 4 with 1195 views | ghostofescobar |
No, but I can tell you that I do like doughnuts. Mmmmmm....doughnuts. Does that help? |  |
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| 400 m displacement on 15:25 - Mar 4 with 1113 views | harveybell05 |
thankyou, I am trying to work out the displacement for each 100 metres though, the total displacement is indeed 0, I'm confused as how to work out the displacement from the start to the first 100m and then from the start to the 2nd hundred meres and so forth but thankyou. | | | |
| 400 m displacement on 15:31 - Mar 4 with 1080 views | WD19 |
| 400 m displacement on 15:25 - Mar 4 by harveybell05 |
thankyou, I am trying to work out the displacement for each 100 metres though, the total displacement is indeed 0, I'm confused as how to work out the displacement from the start to the first 100m and then from the start to the 2nd hundred meres and so forth but thankyou. |
If you search for the line painting instructions for a groundsman setting up a 4x100m relay track will it give you the answer? |  | | |
| 400 m displacement on 15:40 - Mar 4 with 1039 views | LeBlue |
There are some assumptions here.
1st 100m is straight
2nd 100m is a semicircle
3rd 100m is straight
4th 100m is a semicircle
So, 1st 100m, displacement is 100m
2nd 100m, circumferance of circle is 200m (semicircle is 100m), therefore diameter is 200/Pi = 63.66m
If you want to work out displacement of 1st 200m in total, you now have 2 sides of a triangle to work it from (100 by 63.66) |  | | |
| 400 m displacement on 15:47 - Mar 4 with 1012 views | ADStephenson |
As someone who has done a lot of running around a 400m track I can tell you that the radius of the track is about 70m (a quick check tells me that it is 73m). So from the inside lane all the way around the first bend is a displacement of 73m. However, that isn’t the 100m changeover point, so I haven’t really helped that much…
The straights are 84m between the bends, so the 200m point, being exactly halfway around the track, is the square root of 84 squared plus 73 squared which is a shade over 111m away from the start in a straight line. |  |
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