inversely as the square of...

简明释义

与…的平方成反比

英英释义

例句

1.According to Newton's law of gravitation, the force between two masses varies inversely as the square of the distance between them.

根据牛顿的万有引力定律，两质量之间的引力 与它们之间距离的平方成反比。

2.The gravitational pull of a planet on an object decreases inversely as the square of the object's distance from the planet's center.

行星对物体的引力 与物体距离行星中心的平方成反比。

3.In physics, the electric field strength decreases inversely as the square of the distance from the charge.

在物理学中，电场强度 与距离电荷的平方成反比。

4.The pressure exerted by a gas is inversely as the square of the radius of the container.

气体施加的压力 与容器半径的平方成反比。

5.The intensity of light decreases inversely as the square of the distance from the source.

光的强度随着距离源头的增加，与距离的平方成反比。

作文

In the realm of physics, many principles can be understood through mathematical relationships. One such principle is the gravitational force between two masses, which is a classic example of how certain quantities are interrelated. According to Newton's law of universal gravitation, the force of attraction between two objects is directly proportional to the product of their masses and inversely as the square of the distance between them. This means that as the distance increases, the gravitational force decreases at a rate that is proportional to the square of that distance. To illustrate this concept, imagine two planets in space. If the distance between them doubles, the gravitational force they exert on each other will not merely halve; rather, it will decrease to one-fourth of its original value. This relationship can be mathematically expressed as F = G(m1 * m2) / r², where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers. Understanding this principle is crucial not only in physics but also in various fields such as engineering and astronomy. For instance, when designing satellite systems, engineers must take into account how the gravitational pull will change depending on the satellite's distance from the Earth. If they place a satellite too far away, the gravitational force will be significantly weaker, which could affect the satellite's ability to maintain its orbit. Similarly, astronomers use this principle to calculate the orbits of celestial bodies. By knowing the mass of a planet and its distance from the sun, they can predict how gravitational forces will influence its path through space.Moreover, the concept of inversely as the square of the distance applies to other forces as well, such as electric and magnetic forces. For example, Coulomb's law states that the electric force between two charged particles is also inversely as the square of the distance between them. This universality of the principle highlights a fundamental characteristic of nature: that certain forces diminish rapidly with increasing distance. In everyday life, we can observe similar patterns in various phenomena. Consider how sound diminishes as you move away from its source. The intensity of sound is not only affected by the loudness of the original sound but also by the distance from the source. As you step further away, the sound becomes quieter, following a pattern that can be described as inversely as the square of the distance. This understanding helps in fields like acoustics, where designing concert halls requires careful consideration of how sound travels and dissipates. In conclusion, the phrase inversely as the square of encapsulates a significant concept that extends beyond physics into various aspects of our lives. Whether we are discussing gravitational forces, electric charges, or even the sound we hear, this principle provides a framework for understanding how different factors interact. Recognizing the implications of this relationship allows us to make informed decisions in scientific research, engineering design, and even our daily experiences. It serves as a reminder of the intricate connections that exist in the natural world, governed by mathematical laws that we are only beginning to fully understand.

在物理学领域，许多原理可以通过数学关系来理解。其中一个原理是两个质量之间的引力，这是经典的例子，说明某些量是如何相互关联的。根据牛顿的万有引力定律，两个物体之间的吸引力与它们的质量的乘积成正比，并且与它们之间的距离的平方成反比。这意味着，随着距离的增加，引力以与该距离的平方成正比的速度减小。为了说明这一概念，可以想象太空中的两个行星。如果它们之间的距离加倍，它们相互施加的引力不仅仅会减半；而是会降至其原始值的四分之一。这个关系可以用公式F = G(m1 * m2) / r²来表达，其中F是引力，G是引力常数，m1和m2是两个物体的质量，r是它们中心之间的距离。理解这个原理不仅在物理学中至关重要，而且在工程和天文学等各个领域中也同样重要。例如，在设计卫星系统时，工程师必须考虑引力如何随着卫星与地球之间的距离变化而变化。如果他们将卫星放得太远，引力将显著减弱，这可能会影响卫星维持轨道的能力。同样，天文学家利用这一原理计算天体的轨道。通过知道一个行星的质量及其与太阳的距离，他们可以预测引力如何影响其在太空中的路径。此外，与平方成反比的概念也适用于其他力量，如电力和磁力。例如，库仑定律表明，两个带电粒子之间的电力也与它们之间的距离的平方成反比。这一原理的普遍性突显了自然的一个基本特征：某些力量随着距离的增加迅速减弱。在日常生活中，我们可以在各种现象中观察到类似的模式。考虑一下声音如何随着你远离声源而减弱。声音的强度不仅受原始声音的响度影响，还受与声源之间距离的影响。当你走得更远时，声音变得更安静，遵循一种可以描述为与平方成反比的模式。这种理解在声学等领域中非常重要，因为设计音乐厅需要仔细考虑声音的传播和消散。总之，短语与平方成反比概括了一个重要的概念，这一概念不仅在物理学中存在于我们生活的各个方面。无论我们讨论的是引力、电荷，还是我们听到的声音，这一原理都提供了理解不同因素如何相互作用的框架。认识到这一关系的影响使我们能够在科学研究、工程设计甚至日常体验中做出明智的决策。它提醒我们自然界中存在的复杂联系，这些联系由我们才刚刚开始完全理解的数学法则所支配。