利用智能手机磁传感器研究单摆运动  

Analysis of the simple pendulum with smartphone magnetic sensor

作　　者：王锦辉 孙存英 周红 王宇兴 WANG Jin-hui;SUN Cun-ying;ZHOU Hong;WANG Yu-xing(College of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学物理与天文学院,上海200240

出　　处：《大学物理》2021年第3期33-37,共5页College Physics

基　　金：上海交通大学2020年教育教学研究项目(JYJX200110)资助。

摘　　要：本文基于Phyphox手机App,利用智能手机中的磁传感器(电子罗盘)研究磁性单摆运动.结果表明,不同最大摆角测量出来的磁感应强度随时间变化规律不同.只有最大摆角小于1°时,单摆才可看作简谐振动.不同最大摆角的磁感应强度随时间变化曲线可以用磁偶极子模型结合大角度单摆公式来描述.利用磁传感器测量的当地重力加速度为9.868m/s 2,由于磁性摆空气阻尼较小,测得的实验误差仅为0.8%.The magnetic sensor(electronic compass)in the smartphone is used to study the magnetic simple pendulum based on the Phyphox APP.The results showed that the behavior of magnetic induction with time varies with different amplitude angles.Only when the amplitude angle is less than 1°,the simple harmonic vibration of the simple pendulum could occur.The curve of magnetic induction via time at different amplitude angles can be described by magnetic dipole model combined with large angle pendulum formula.The local gravity acceleration measured by the smartphone magnetic sensor is 9.868 m/s 2.Due to the small air damping of the magnetic pendulum,the experimental error is only 0.8%.

关 键 词：单摆 Phyphox 智能手机 磁偶极子 空气阻尼 

分 类 号：O4-33[理学—物理]