radius of rotation

简明释义

旋转半径

英英释义

例句

1.The engineer calculated the radius of rotation 旋转半径 for the new turbine design to ensure optimal efficiency.

工程师计算了新涡轮设计的旋转半径 radius of rotation以确保最佳效率。

2.In robotics, understanding the radius of rotation 旋转半径 is crucial for programming precise movements.

在机器人技术中，了解旋转半径 radius of rotation对于编程精确运动至关重要。

3.The pilot adjusted the aircraft's flight path by changing the radius of rotation 旋转半径 during the turn.

飞行员通过改变转弯时的旋转半径 radius of rotation来调整飞机的飞行路径。

4.When designing a roller coaster, engineers must consider the radius of rotation 旋转半径 to ensure safety and comfort.

在设计过山车时，工程师必须考虑旋转半径 radius of rotation以确保安全和舒适。

5.The radius of rotation 旋转半径 of the Earth affects satellite trajectories and orbital mechanics.

地球的旋转半径 radius of rotation影响卫星轨迹和轨道力学。

作文

The concept of the radius of rotation is fundamental in both physics and engineering, particularly when analyzing the motion of objects. In simple terms, the radius of rotation refers to the distance from the axis of rotation to a point on the object that is rotating. This distance plays a crucial role in determining the dynamics of the rotating body, influencing factors such as angular velocity, centripetal force, and overall stability. Understanding the radius of rotation is essential for engineers designing rotating machinery, as it affects the performance and efficiency of the system.To illustrate the importance of the radius of rotation, let us consider a simple example: a Ferris wheel. The radius of rotation in this case would be the distance from the center of the wheel to the passenger cabins. As the wheel rotates, the passengers experience a centripetal acceleration directed towards the center of the wheel. The larger the radius of rotation, the greater the distance the cabins travel during each rotation, which can impact the speed and comfort of the ride.In addition to amusement rides, the radius of rotation is also significant in various applications such as robotics and aerospace engineering. For instance, robotic arms often have joints that rotate around a fixed point. The radius of rotation of these joints determines how far the end effector (the part of the robot that interacts with the environment) can reach. By optimizing the radius of rotation, engineers can enhance the robot's range of motion and efficiency in performing tasks.Moreover, in the field of aerospace, the radius of rotation is critical when analyzing the flight paths of aircraft. When an airplane makes a turn, the radius of rotation will influence the bank angle and the load factor experienced by the passengers. A smaller radius of rotation requires a steeper bank angle, which can lead to higher g-forces acting on the aircraft and its occupants. Thus, understanding how to manage the radius of rotation is vital for ensuring safety and comfort during flight.Furthermore, the radius of rotation is not just limited to physical objects; it also applies to abstract concepts in mathematics and physics. For example, in circular motion, the radius of rotation helps calculate the linear velocity of an object moving along a circular path. The relationship between linear velocity (v), angular velocity (ω), and the radius of rotation (r) can be expressed with the formula v = ω * r. This equation highlights how the radius of rotation directly affects the speed of an object in circular motion.In conclusion, the radius of rotation is a vital concept that permeates various fields, from engineering to physics. Its implications are far-reaching, influencing the design and functionality of rotating systems, the safety of flight operations, and even the mathematical analysis of motion. By grasping the significance of the radius of rotation, one can better appreciate the complexities involved in the dynamics of rotating bodies and their applications in real-world scenarios.

“旋转半径”这个概念在物理学和工程学中是基础性的，尤其是在分析物体运动时。简单来说，旋转半径是指从旋转轴到旋转物体上某一点的距离。这个距离在确定旋转体的动力学方面起着至关重要的作用，影响着角速度、向心力和整体稳定性等因素。理解旋转半径对设计旋转机械的工程师来说至关重要，因为它影响着系统的性能和效率。为了说明旋转半径的重要性，让我们考虑一个简单的例子：摩天轮。在这种情况下，旋转半径将是从轮子的中心到乘客舱的距离。当轮子旋转时，乘客会经历一个指向轮子中心的向心加速度。旋转半径越大，舱室在每次旋转中移动的距离就越大，这会影响到速度和乘坐的舒适度。除了游乐设施，旋转半径在机器人技术和航空航天工程等各种应用中也很重要。例如，机器人手臂通常有围绕固定点旋转的关节。这些关节的旋转半径决定了末端执行器（与环境互动的机器人部分）可以到达的范围。通过优化旋转半径，工程师可以提高机器人的运动范围和执行任务的效率。此外，在航空航天领域，旋转半径在分析飞机飞行路径时至关重要。当飞机转弯时，旋转半径将影响机头倾斜角度和乘客所经历的负载因子。较小的旋转半径需要更陡的倾斜角度，这可能导致飞机及其乘客承受更高的重力。因此，理解如何管理旋转半径对于确保飞行的安全和舒适至关重要。此外，旋转半径不仅限于物理对象，它还适用于数学和物理中的抽象概念。例如，在圆周运动中，旋转半径有助于计算沿圆形路径运动的物体的线速度。线速度（v）、角速度（ω）和旋转半径（r）之间的关系可以用公式v = ω * r表示。这个方程突显了旋转半径如何直接影响圆周运动中物体的速度。总之，旋转半径是一个重要的概念，渗透到各个领域，从工程到物理。它的影响深远，影响着旋转系统的设计和功能、飞行操作的安全性，甚至运动的数学分析。通过掌握旋转半径的重要性，人们可以更好地理解旋转物体的动力学及其在现实世界场景中的应用所涉及的复杂性。