物体做曲线运动时,曲线的弯曲程度不同,曲率圆的半径大小就不同.曲率圆半径小的地方弯曲程度就大,反之就小.数学上用曲率圆半径公式R=(1+y′2)3/2/y″来计算,其中y′是函数y的一阶导数,y″是函数y的二阶导数.本文从圆周运动的角度计算曲率圆半径.即物体做曲线运动时,要算某一点的曲率圆半径,算出该点的速度,然后将合外力沿垂直于该速度的方向分解即为向心力,根据F向=mv2计算出曲率圆半径R.现举例如下. Curves of objects to do the curve, the curves of different degrees, the radius of the curvature of the different sizes. Small radius of curvature of the curvature of the small places on the contrary, the small. Mathematical radius of curvature using the formula R = (1 + y’2 ) 3/2 / y “, where y ’is the first derivative of the function y and y” is the second derivative of the function y. This article calculates the radius of curvature from the point of circular motion, ie, Calculate the radius of curvature of a certain point, calculate the velocity of the point, and then decompose the resultant force in a direction perpendicular to the velocity to be the centripetal force, and calculate the radius of curvature circle R according to F = mv2.