npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041


Research Paper

New Physics: Sae Mulli 2014; 64: 1229-1233

Published online December 31, 2014

Copyright © New Physics: Sae Mulli.

Data Analysis of Simple Harmonic Motion for the Pendulum by Using a Smart-phone Sensor

Se-Hun KIM*

Faculty of Science Education, Jeju National University, Jeju 690-756, Korea


Received: October 6, 2014; Revised: October 26, 2014; Accepted: October 27, 2014

This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigated the simple harmonic motion of a pendulum by using the accelerometer sensor embedded in a smart-phone. For data collection, the pendulum's motion were measured by using the 3D accelerometer sensor, and the recorded acceleration data were transferred from the smart-phone's memory to the personal computer holding Microsoft Excel files by means of an e-mail attachment. The physical quantities, maximum amplitude of the angular displacement, the damping factor, the angular frequency, the relaxation time, $etc$., were produced by using a regression analysis correlated to the experimental acceleration data. The angular frequency, the angular velocity, the angular acceleration and the phase space were simulated on the basis of the computed fitting parameters.

Keywords: Smart-phone, Simple pendulum, Acceleration sensor, Harmonic motion, Free Damped motion


Fig. 1. (left) Experiment of simple harmonic motion by using the smart phone pendulum at home.
(right) Graph of accelerometer data collection for the smart-phone pendulum by using SPARKvue app.

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