Estimating Pi Using a Pendulum
Application ID: 140811
A simple way to estimate the value of π is by using a pendulum, whose oscillation period can be measured and used to calculate an approximation.
This simulation app is based on a model that uses the Multibody Dynamics interface to describe the motion of a simple pendulum. The app allows users to vary several parameters, including the pendulum length, bob radius, initial angle, and density ratio.
The application computes an estimated value of π and displays the corresponding error relative to the true value. In addition, a built-in help section explains the underlying theory, describes how to use the app, and provides guidance on parameter settings that yield the most accurate estimates of π.
The example also demonstrates how easily simulation models can be transformed into interactive simulation apps using the Application Builder in the COMSOL Multiphysics® software.
To learn more about this model, see our accompanying blog post “Pi on a String: An Interactive App to Estimate Pi ”.
案例中展示的此类问题通常可通过以下产品建模:
您可能需要以下相关模块才能创建并运行这个模型,包括:
建模所需的 COMSOL® 产品组合取决于多种因素,包括边界条件、材料属性、物理场接口及零件库,等等。不同模块可能具有相同的特定功能,详情可以查阅技术规格表,推荐您通过免费的试用许可证来确定满足您的建模需求的正确产品组合。如有任何疑问,欢迎咨询 COMSOL 销售和技术支持团队,我们会为您提供满意的答复。
