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22. THE RADIUS OF GYRATION AND ACCELERATION DUE TO GRAVITY DETERMINED FROM A COMPOUND PENDULUM EXPERIMENT by Akpu N. I, Anyadiegwu F. C, Nnanna L. A, Aigba P. I. and Amos J. Volume 51 (May, 2019 Issue)
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THE RADIUS OF GYRATION AND ACCELERATION DUE TO GRAVITY DETERMINED FROM A COMPOUND PENDULUM EXPERIMENT

Akpu N. I, Anyadiegwu F. C, Nnanna L. A, Aigba P. I. and Amos J.

Department of Physics, College of Physical & Applied Sciences, Michael Okpara University of Agriculture, Umudike, Abia State.

Abstract

Compound or physical pendulum is a set-up whose dimensions of its suspended body are significant. Its period and frequency depends on length of gyration, moment of inertia, and mass of pendulum as well as gravitational acceleration while the frequency and period of a simple pendulum depends on length of vibrating cord. The use of simple pendulum is flawed by its dependence on local gravity that do not support its use for defining seconds and its difficulty to measure accurately as a result of its significant variation with latitude and longitude. The compound pendulum is apt at addressing these shortcomings and present more accurate results. A solid body was mounted upon a horizontal axis so as to vibrate under the force of gravity in a compound pendulum. This experiment requires the acquisition of large amount of repetitive data and a complex analysis to determine both the position of centre of mass and moment of inertia. A bar pendulum made of 1m long metal of 5mm diameter perforation at every 5cm interval was suspended from a horizontal knife edge passing through each hole, the knife edge was fixed in a platform provided with screws for which the rear screws adjustment; the platform could be made horizontal. The bar pendulum with ends A and B was suspended with its knife edge on a rigid platform and set into 20 oscillations by displacing through a small angle to oscillate in a vertical plane with its period changing with respect to the position of the moveable axes. This was carried for the remaining holes. The process was repeated for opposite side of G. The values obtained varied at some point which could be attributed to the mass of the bar not been uniformly distributed. A graph of y2 against yT2 was plotted to obtain a slope of 10.6m/s2 and intercept of 0.28m for centre of gravity and radius of gyration respectively.

Keywords: Acceleration due to gravity, Compound pendulum, Oscillations, Radius of gyration.

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