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Can anyone define how can i visualize the angular frequency(ω) in a SHM y(t)=R sin(ωt+ϕ) (where ω=2π/T).Bcoz we can visualize frequency(f=1/T) as number of times the process is repeated in 1 sec so how to define this angular frequency ω.

Also in SHM (a =–kx/m) then here why do we define k/m = ω^2

so plz tell me how to visualize the angular frequency in SHM

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You can relate it to $\omega$ in uniform circular motion(the angular velocity) as SHM can be visualised as projection of uniform circular motion.

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  • $\begingroup$ The constructions sometimes goes by the name "reference circle" which might help in searching for it. $\endgroup$ – dmckee --- ex-moderator kitten May 14 '19 at 17:48

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