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The innermost circle. The standard runway has a total length of 400 meters, the curve of the runway is semicircular, and the radius of the innermost ring is 36 meters, each runway is wide by meters, and there are 8 runways.
It is known that the total length of the standard runway is 400 meters, which refers to the length of the innermost runway, and the radius of the innermost ring is 36 meters, so you only need to find the sum of the perimeters of the two semi-circular curves of the innermost runway, and then subtract the sum of the perimeters of the two curves from 400 meters to get the length of the straight.
m The total length of the fourth runway is obtained by the sum of the two semicircular curves of the fourth lap plus the sum of the two straights, and the length of the straight is already known in front of us: 87, so the total length of the fourth runway is: 87 2+2 423 meters.
The first 87 2+2 400
Second, 87 2+2 408
Third, 87 2+2 415
Fourth, 87 2+2 423 m.
Fifth: 87 2+2 430 m.
Sixth 87 2+2 438 m.
Seventh 87 2+2 445 m.
Eighth 87 2+2 453 m.
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Calculated based on the perimeter of the first pass.
The circumference of the first lane (the innermost one) of the standard semi-circular track and field field is 400m, and it is run to by two straights each with a length d, two semicircles, and a radius r (its radius has different design schemes, commonly used 36m, etc.).
1) Calculation of the runway perimeter (1st lane perimeter).
1. Calculation of curve length.
The sum of the lengths of the two curves in a semicircular track field is exactly equal to the circumference of a circle. According to the circumferential formula c=2 r, if r=36m and the width of the road m=, then the length of the two curves of the first lane division (calculated line length) is:
2 The length of a curve is:
2. Calculation of the length of the straight section.
The length of the two straight sections = 2d = 400m
A straight segment is d=
3. Calculation of the total length of the runway.
The total length of the runway = two curves + two straight sections.
c=2d+2πr=400m
2) Calculation of the length of each lane separation curve (taking the width of the lane in meters as an example) cn=2 [r+(n-1)d+
C represents the circumference of the curve, N represents the number of passes, R represents the radius of the field, and D represents the width of the lane) 3) Calculation before the starting line is extended.
If both runners run their own lane for 1 week, the runner in lane 2 will run more than the runner in lane 1. In order for the 2nd lane to be equal to the distance traveled by the runner running the 1st lane, the starting point must be extended some distance forward. The distance that should be stretched forward is called the number of starting line extensions.
The method of calculating the forward extension of the starting line is the length of the curve of a certain lane minus the length of the curve of the first lane, which is the number of starting line extensions of the lane. The formula is as follows:
wn=2π[r+(n-1)+
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The IAAF does not specify the exact size of the athletics field, only a range is given. So the size of each track and field is different. However, the innermost track has a central circumference of 400 meters.
Most athletics fields have a curve radius of 32-38m and a track width, with 8-12 straights and 7-10 corners. Calculated with 8 curves for a wide runway: outermost ring circumference = 400 + 2 * runway width * number of curves - 1) = 400 + 7 = 455 meters.
Related Notes:The circumference of the first track used in the international track competition is 400 meters, the radius of the curve is about 36 38 meters, the radius of r = meters is called the standard 400-meter track and field, and there are 6 8 tracks, the width of the track is meters, and the track is paved with a plastic surface layer to increase friction, so as to improve the competitive level of athletes.
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The difference is about 53 meters.
A standard 400-meter runway, with the first (innermost) track being 400 meters long, and the outer ring of the two adjacent runways being one meter longer than the inner ring.
The 400-meter standard runway should consist of two parallel straights and two curves of equal radius. The standard runway is 400 meters long, there are 8 runways, each runway is 87 meters wide, the straight track is 87 meters long, the curve of the runway is semicircular, and the radius of the innermost ring is generally 36 meters.
The length of the first track: 87 2+2 400 m.
Eighth length: 87 2+2 453 m.
So the difference is about 53 meters.
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The first 87 2+2 400
Second, 87 2+2 408
Third, 87 2+2 415
Fourth, 87 2+2 423 m.
Fifth: 87 2+2 430 m.
Sixth 87 2+2 438 m.
Seventh 87 2+2 445 m.
Eighth 87 2+2 453 m.
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The following is the length of each lane firstly 87 2+2 400 second, the IAAF Standard Manual for Athletics Venue Facilities stipulates that the standard inner circle of the sports track is 400 meters, of which the radius of the curve should.
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Length of each lane of conventional runway:
Runway length (m).
In order to fairly subtract the extra distance that the runners run at the start, the athletes have different starting positions, and the closer they get to the outside, the farther they start, the farther they start.
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