What is the reason behind including ##2π/T##?

Kaushik · Dec 24, 2019

Why do we include ##2π/T## and not just ##t## in equation of simple harmonic oscillators?
##x(t) = Acos(2πt/T)##

Doc Al · Dec 24, 2019

The argument of a trig function must be dimensionless. Cosine only cares about angles, not time, so you must express the angle as a function of time.

sophiecentaur · Dec 24, 2019

Kaushik said:

Summary:: ##x(t) = Acos(2πt/T)##

Why do we include 2π/T

A simple answer is that there are 2π radians in a circle and t/T represents a fraction of a complete cycle. The wave repeats every T (the period). Then what @Doc Al said.

What is the reason behind including ##2π/T##?

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What is the reason behind including ##2π/T##?

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