## 塑胶跑道的计算公式表

作者：爱游戏ayx|点击量：36|时间：2024-09-06 05:41:46

Introduction Plastic track is a popular surface for athletics tracks, especially for track and field events. It is made of synthetic materials such as polyurethane, which provide a durable and non-slip surface for athletes. The construction of a plastic track involves a number of calculations and measurements to ensure that the track meets the required standards. In this article, we will discuss the various formulas and calculations involved in the construction of a plastic track. Calculations for Track Dimensions The first step in constructing a plastic track is to determine the dimensions of the track. The standard length of an athletics track is 400 meters, and the width of the track is typically between 8 and 9 meters. The length and width of the track are determined by the International Association of Athletics Federations (IAAF) and must be followed to ensure that the track meets the required standards. The formula for calculating the distance around the track is: C = 2πr Where C is the circumference of the track, and r is the radius of the track. The radius of the track is half the length of the straightaway, which is typically 84.39 meters. Therefore, the radius of the track is 42.195 meters. Using this formula, the circumference of the track can be calculated as follows: C = 2π(42.195) = 264.6 meters This means that one lap around the track is 400 meters, and it takes approximately 1.5 laps to complete a 600-meter race. Calculations for Track Slope The slope of the track is an important factor in the construction of a plastic track. The slope of the track must be within certain limits to ensure that the track is safe for athletes to use. The slope of the track is measured as a percentage, and the maximum allowable slope is 1%. The formula for calculating the slope of the track is: Slope = (Difference in height / Length of the track) x 100 To calculate the difference in height, the height at the start and end of the track must be measured. The length of the track is 400 meters. For example, if the height at the start of the track is 0 meters, and the height at the end of the track is 1 meter, the slope of the track can be calculated as follows: Slope = (1 / 400) x 100 = 0.25% This means that the slope of the track is within the allowable limits. Calculations for Track Curvature The curvature of the track is another important factor in the construction of a plastic track. The curvature of the track must be within certain limits to ensure that the track is safe for athletes to use. The curvature of the track is measured as a radius, and the minimum allowable radius is 36.5 meters. The formula for calculating the radius of the track is: Radius = (Length of the track^2) / (8 x Height of the track) To calculate the height of the track, the height at the start and end of the track must be measured. For example, if the height at the start of the track is 0 meters, and the height at the end of the track is 1 meter, the height of the track can be calculated as follows: Height of the track = (1 - 0) / 400 = 0.0025 meters Using this formula, the radius of the track can be calculated as follows: Radius = (400^2) / (8 x 0.0025) = 640,000 / 2 = 320,000 meters This means that the radius of the track is within the allowable limits. Calculations for Track Thickness The thickness of the plastic track is another important factor in the construction of a plastic track. The thickness of the track must be within certain limits to ensure that the track is safe for athletes to use. The thickness of the track is typically between 13 and 15 millimeters. The formula for calculating the thickness of the track is: Thickness = (Volume of the track / Area of the track) To calculate the volume of the track, the length, width, and thickness of the track must be measured. For example, if the length of the track is 400 meters, the width of the track is 9 meters, and the thickness of the track is 14 millimeters, the volume of the track can be calculated as follows: Volume of the track = (400 x 9 x 0.014) = 50.4 cubic meters Using this formula, the thickness of the track can be calculated as follows: Thickness = (50.4 / (400 x 9)) x 1000 = 14 millimeters This means that the thickness of the track is within the allowable limits. Conclusion The construction of a plastic track involves a number of calculations and measurements to ensure that the track meets the required standards. These calculations include determining the dimensions of the track, calculating the slope and curvature of the track, and determining the thickness of the track. By following these formulas and calculations, a safe and durable plastic track can be constructed for athletes to use.

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