Hoop and Cylinder Motion
环形物体的运动
Given a race between a thin hoop and a uniform cylinder down an incline. Which will win?
在斜面上，一个细环和一个均匀圆柱体谁会赢？
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实验者：Walter Shields 和 Karen Tolmich |
Conservation of energy gives: 能量守恒定律给出：
 For rolling without slipping, ω = v/r. The difference between the hoop and the cylinder comes from their different rotational inertia. 对于无滑动滚动，有 ω = v/r。圆环与圆柱体的区别源于它们的转动惯量不同。
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Solving for the velocity shows the cylinder to be the clear winner.
求解速度表明圆柱体是胜出者。
The cylinder will reach the bottom of the incline with a speed that is 15% higher than the top speed of the hoop. The hoop uses up more of its energy budget in rotational kinetic energy because all of its mass is at the outer edge.
圆柱体到达斜面底部时的速度比环的最高速度高15%。环在旋转动能上消耗了更多的能量，因为它的所有质量都位于外边缘。
Show more detail
显示更多细节
Rotation concepts
Rotational kinetic energy concepts
索引 旋转概念 角动量概念
| HyperPhysics***** Mechanics
力学 | R Nave |
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