Apparatus for Measuring the Moment of Inertia of an Object Using a Rotary Encoder
Abstract
In this paper, a laboratory apparatus is designed for measuring the moment of inertia. It mainly consists of a rotary encoder and an arduino nano board, which can be used to measure angular displacement of a rotating object. We propose our experimental approaches to achieve the moment of inertia of any objects using a rotary encoder. The experimental results from the encoder are calculated and analyzed in order to compare with the results from theory. Two mathematical models of the frictional torque are presented and investigated. We find that the mathematical model of leads to the results which are in good agreement with the experimental results. Our designed laboratory apparatus is cheap and its components are available in electronics stores. Thus, it is able to be applied in physics laboratory.Keywords : moment of inertia ; rotary encoder ;friction torqueReferences
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Mungan C.E. (2012). Frictional torque on a rotating disc. European journal of physics, 33, 1119–1123.
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Amrani D.(2006). Computerized rotational system to study the moment of inertia of different objects. European Journal of Physics, 27, 1063–1069.
Dirks, K., Urone, P.P., & Hinrichs, R. (2013). College Physics. Texas: Rich University.
Eadkhong, T., Rajsadorn, R., Jannual, P. & Danworaphong, S. (2012). Rotational dynamics with Tracker. European Journal of Physics, 33, 615-622.
Kladivová M., Kovalaková M., Gibová Z., Fricová O., Hutníková M. and Kecer J. (2016). Laboratory experiment for the
study of friction forces using rotating apparatus. European Journal of Physics, 37, 065005.
Kovalaková M., Kladivová M., Fricová O., Gibová Z., Hutníková M. and Kecer J. (2020). Viscous friction in standard rotational motion experiments. European Journal of Physics, 41, 035003.
Mungan C.E. (2012). Frictional torque on a rotating disc. European journal of physics, 33, 1119–1123.
Oliveira V. (2020). Using a reed switch to measure the angular speed of a fidget spinner. Physics Education, 55, 023007.
Porn R. and Braskén M. (2016). Interactive modeling activities in the classroom-rotational motion
and smartphone gyroscopes. Physics Education, 51, 065021.
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Published
2022-01-24
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