曲线弧的质心与旋转体侧面积的关系  

Relationship Between Curve Segment's Centroid and Lateral Area for Body of Rotation

作　　者：张香伟[1] 

机构地区：[1]郑州师范学院数学与统计学院,河南郑州450044

出　　处：《河南教育学院学报（自然科学版）》2012年第3期8-10,共3页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：科技部创新方法专项研究基金(2009IM010400)

摘　　要：借助物理学中静力矩与质心的概念,确定曲线弧绕坐标轴旋转生成的旋转体侧面积与曲线弧质心坐标之间的关系,并推广到曲线弧绕任意直线旋转的情况,得到计算旋转体侧面积的简单公式.Based on the concept of static moment and centroid in physics, the connection between the lateral area of rotation produced by curve segment encircling axis of coordinates and centroid＇ s coordinates of curve segment was presented. The application of curve segment encircling an arbitrary straight line was extended, and the general formula of the lateral area for body of rotation was put forward.

关 键 词：静力矩 质心 旋转体 侧面积 直线 

分 类 号：O172.2[理学—数学]