annular area

简明释义

环状面积

英英释义

例句

1.The annular area 环形区域 between the two cylinders needs to be insulated properly.

两个圆柱体之间的annular area 环形区域需要进行适当的绝缘处理。

2.The engineer calculated the stress distribution across the annular area 环形区域 of the pipe.

工程师计算了管道的annular area 环形区域的应力分布。

3.We measured the temperature gradient across the annular area 环形区域 of the reactor.

我们测量了反应器的annular area 环形区域的温度梯度。

4.In the design of the turbine, the annular area 环形区域 is crucial for fluid dynamics.

在涡轮设计中，annular area 环形区域对流体动力学至关重要。

5.The flow rate was affected by the size of the annular area 环形区域 in the filtration system.

过滤系统中annular area 环形区域的大小影响了流速。

作文

The concept of an annular area plays a significant role in various fields, including mathematics, physics, and engineering. An annular area refers to the region between two concentric circles or rings. This area is characterized by its unique properties and applications, making it a vital topic of study for students and professionals alike. Understanding the annular area can enhance our comprehension of complex geometric shapes and their practical uses.To visualize an annular area, imagine a dartboard. The outer circle represents the boundary of the dartboard, while the inner circle represents the bullseye. The space between these two circles is the annular area. Mathematically, the area can be calculated by subtracting the area of the inner circle from the area of the outer circle. The formula for the area of a circle is πr², where r is the radius. Therefore, if we let R be the radius of the outer circle and r be the radius of the inner circle, the annular area A can be expressed as:A = πR² - πr² = π(R² - r²).This equation illustrates how the annular area is dependent on the radii of the two circles. Such calculations are not only essential in theoretical mathematics but also have practical applications in engineering and design.In engineering, the annular area is crucial in designing components like pipes, bearings, and seals. For instance, when designing a pipe that needs to carry fluid, engineers must consider the annular area to ensure that the flow rate is adequate for the intended application. If the annular area is too small, it could lead to increased pressure and potential failure of the system. Conversely, if the area is too large, it may result in unnecessary material costs and inefficiencies.Moreover, in the field of physics, the annular area is often encountered in problems involving rotational motion and moment of inertia. The moment of inertia is a measure of an object's resistance to changes in its rotation. When calculating the moment of inertia for objects with annular areas, physicists apply integrative techniques to account for the distribution of mass within the annulus. This understanding is vital for analyzing systems ranging from simple rotating disks to complex machinery.Furthermore, the annular area has applications in architecture and urban planning. Circular parks, arenas, and amphitheaters often utilize annular areas to create aesthetically pleasing designs that enhance the experience of visitors. The layout of seating arrangements in these structures can also benefit from the properties of annular areas, ensuring optimal views and accessibility.In conclusion, the annular area is more than just a mathematical concept; it is a fundamental aspect of various disciplines that influences both theoretical and practical applications. From engineering to physics and architecture, understanding the annular area enriches our knowledge and equips us with the tools to solve real-world problems. As we continue to explore the intricacies of geometry and its applications, the annular area will undoubtedly remain a topic of interest and importance in our studies and professional endeavors.

“环形区域”这一概念在数学、物理和工程等多个领域中发挥着重要作用。“环形区域”指的是两个同心圆或环之间的区域。这个区域具有独特的性质和应用，使其成为学生和专业人士研究的重要主题。理解“环形区域”可以增强我们对复杂几何形状及其实际用途的理解。为了直观地理解“环形区域”，我们可以想象一个飞镖靶。外圈代表飞镖靶的边界，而内圈则代表靶心。这两个圆之间的空间就是“环形区域”。从数学上讲，面积可以通过从外圆的面积中减去内圆的面积来计算。圆的面积公式为πr²，其中r是半径。因此，如果我们设R为外圆的半径，r为内圆的半径，那么“环形区域”A可以表示为：A = πR² - πr² = π(R² - r²)。这个方程说明了“环形区域”如何依赖于两个圆的半径。这种计算不仅在理论数学中至关重要，在工程和设计中也有实际应用。在工程学中，“环形区域”在设计管道、轴承和密封件等组件时至关重要。例如，在设计需要输送流体的管道时，工程师必须考虑“环形区域”，以确保流速足够满足预期应用。如果“环形区域”太小，可能导致压力增加并可能导致系统故障。相反，如果区域过大，可能会导致不必要的材料成本和低效。此外，在物理学领域，“环形区域”常常出现在涉及旋转运动和惯性矩的问题中。惯性矩是物体对旋转变化的抵抗能力的量度。在计算具有“环形区域”的物体的惯性矩时，物理学家应用积分技术来考虑环形内质量的分布。这种理解对于分析从简单旋转盘到复杂机械系统的各种系统至关重要。此外，“环形区域”在建筑和城市规划中也有应用。圆形公园、竞技场和露天剧场通常利用“环形区域”来创建美观的设计，提升游客的体验。这些结构中座位安排的布局也可以受益于“环形区域”的属性，以确保最佳视野和可达性。总之，“环形区域”不仅仅是一个数学概念；它是多个学科的基本方面，影响着理论和实际应用。从工程到物理再到建筑，理解“环形区域”丰富了我们的知识，并为我们提供了解决现实问题的工具。随着我们继续探索几何学的复杂性及其应用，“环形区域”无疑将继续成为我们学习和专业努力中的一个重要话题。