Question

Out of the formulae y =a sin 2pi t//T and y = a sin upsilon t for the displacement y of particle undergoing a periodic motion, rule out the wrong formula on the basis of dimensions. Symbols have standard meaning​

Answer 1

A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion :

(a) y=asin 2π

t/T

(b) y = a sin υ t

(c) y = (a/T) sin t/a

(d) y = (a/

2

) (sin 2π / T + cos 2π / T)

(a = maximum displacement of the particle, v = speed of the particle. T = time-period of motion). Rule out the wrong formulas on dimensional grounds.

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