How to visualize the angular frequency in SHM?

Question

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

Related: https://physics.stackexchange.com/q/411637/2451 and links therein. — Qmechanic, May 14 '19 at 13:21

score 0 · Answer 1 · answered May 14 '19 at 13:02

0

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

answered May 14 '19 at 13:02

Tojra

795

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

How to visualize the angular frequency in SHM?

1 Answers1