The habit of not writing a multiplicative factor of dimens ion one leads to equations, which, though dimensionally correct, can pose some problems to most students as for the analysis of the units of measurement of the written physical quantities. The proposed analysis of the derivation of the equations for a simple oscillator and a forced oscillator with damping shows how to handle with the units of measurement. Similar considerations can be done for the formula of error propagation for oscillating functions.
Some considerations on quantities of dimension one in oscillatory motions / L. Gariboldi. - In: LATIN AMERICAN JOURNAL OF PHYSICS EDUCATION. - ISSN 1870-9095. - 6:2(2012 Jun), pp. 208-211.
Some considerations on quantities of dimension one in oscillatory motions
L. Gariboldi
2012
Abstract
The habit of not writing a multiplicative factor of dimens ion one leads to equations, which, though dimensionally correct, can pose some problems to most students as for the analysis of the units of measurement of the written physical quantities. The proposed analysis of the derivation of the equations for a simple oscillator and a forced oscillator with damping shows how to handle with the units of measurement. Similar considerations can be done for the formula of error propagation for oscillating functions.
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