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第19讲:旋转刚体-转动惯量-平行轴和垂直轴定理-旋转动能-飞轮-中子星-脉冲星

Lecture 19: Rotating Rigid Bodies - Moment of Inertia - Parallel Axis and Perpendicular Axis Theorem - Rotational Kinetic Energy - Fly Wheels - Neutron Stars - Pulsars
课程网址: http://videolectures.net/mit801f99_lewin_lec19/  
主讲教师: Walter H. G. Lewin
开课单位: 麻省理工学院
开课时间: 2008-10-10
课程语种: 英语
中文简介:
** 1。圆周运动中的角加速度:**圆周运动中的物体可能会出现切向加速度(导致其速度发生变化)。绘制了线性运动和旋转运动方程之间的相似性。** 2。旋转惯性矩的动能:**推导出盘的旋转动能,并与其惯性矩和角速度有关。转动惯量取决于物体的形状和质量;它因不同的旋转轴而不同。** 3。平行轴和垂直轴定理:**平行轴定理对于计算轴偏离质心的惯性矩非常有用。垂直轴定理对于薄物体很有用。** 4。使用飞轮进行能源管理:**探讨了一种情况,即从山上下来的汽车的潜在能量存储在飞轮中(踩刹车时)而不是散热。原则上,飞轮的旋转动能可以在以后用于在需要时提高汽车的速度。演示展示了飞轮中的旋转能量如何转换为玩具车的直线运动。** 5。麻省理工学院磁铁实验室的飞轮:**一对以6赫兹旋转的非常大的飞轮用于将旋转动能转换为磁能,反之亦然,用于储能。** 6。行星和恒星中的旋转KE:**由于它们的旋转而呈现的太阳和地球的旋转动能,以及来自蟹状脉冲星的数据。旋转周期为33毫秒的Crab脉冲星正在旋转;它的旋转周期增加了36.4纳秒/天。辐射功率(以无线电波,光,X射线和伽马射线的形式)导致旋转动能的损失。换句话说,旋转KE被转换成电磁辐射。** 7。麻省理工学院飞轮和蟹状星云的幻灯片:**幻灯片显示在麻省理工学院磁铁实验室的飞轮和蟹状星云(蟹状脉冲星的家中)。频闪图片显示,当Crab Pulsar绕其旋转轴旋转时,Crab Pulsar在光学光中闪烁。还展示了用钱德拉天文台制作的蟹状星云的X射线图像。
课程简介: **1. Angular Acceleration in Circular Motion:** An object in circular motion can experience a tangential acceleration (resulting in a change of its speed). Similarities between equations for linear motion and rotational motion are drawn. **2. Kinetic Energy of Rotation - Moments of Inertia:** The kinetic energy of rotation of a disk is derived and related to its moment of inertia and angular velocity. The moment of inertia depends upon the shape and mass of an object; it differs for different axes of rotation. **3. Parallel Axis and Perpendicular Axis Theorems:** The Parallel Axis theorem is very useful for calculating the moment of inertia about an axis offset from the center of mass. The Perpendicular Axis theorem is useful for thin objects. **4. Energy Management with Flywheels:** A scenario is explored where the potential energy of a car coming down a mountain is stored in a flywheel (while stepping on the brakes) rather than dissipated into heat. The rotational kinetic energy of the flywheel can, in principle, at a later time be used to increase the car's speed when needed. A demonstration shows how rotational energy in a flywheel gets converted into linear motion of a toy car. **5. Flywheels at MIT's Magnet Lab:** A pair of very massive flywheels rotating at 6 Hz are used to convert rotational kinetic energy into magnetic energy and vice versa for energy storage. **6. Rotational KE in Planets and Stars:** The rotational kinetic energy of the sun and Earth due to their spin are presented, along with data from the Crab pulsar. The Crab pulsar, with a spin period of 33 ms, is spinning down; its spin period is increasing by 36.4 nanoseconds/day. The radiated power (in the form of radio waves, light, X-rays and gamma-rays) results in a loss of rotational kinetic energy. In other words, rotational KE is converted to electromagnetic radiation. **7. Slides of MIT's Flywheel and the Crab Nebula:** Slides are shown of the Flywheels in MIT's Magnet Lab, and of the Crab Nebula (home of the Crab Pulsar). Stroboscopic pictures show that the Crab Pulsar blinks on and off in optical light as it rotates about its spin axis. An X-ray image of the Crab Nebula made with the Chandra Observatory is also shown.
关 键 词: 圆周运动; 动能; 能源管理
课程来源: 视频讲座网
最后编审: 2019-05-23:lxf
阅读次数: 108