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# Relation between simple harmonic motion uniform circular motion?

Updated: 8/10/2023 Wiki User

12y ago

Period and frequency are inverses of each other. Period is the time it takes for one complete cycle of a wave, and frequency is the number of cycles of a wave that take place in a unit of time. Period is equal to one over the frequency, and frequency is equal to one over the period. Wiki User

14y ago   Wiki User

12y ago

if

y=f(t)

and

d2y/dt2=-w2*f(t)

where w is the angular frequency of the motion

example

if we have spring its stiffness is k and a particle of mass m is attached to the end of the spring while the other end of the spring is stationary

then the force F=-kx ehile x is the change in length in the spring

F=-kx=ma > a=-kx/m w2=k/min the above example the particle move in simple harmonic motion   Wiki User

11y ago

They are not just related; they are the same thing. It is like asking why height is related to linear measurement. The period is the time it takes for the object to move through one entire cycle of vibration. You can take this length of time, probably a very short time, and easily figure the number of periods or cycles for any longer and more easily managed unit of time.   Wiki User

12y ago

Frequency and period are each others' reciprocals.   Wiki User

12y ago

relation between simple harmonic motion and uniform circular motion   Wiki User

11y ago

That are inversely related   Wiki User

10y ago

no they are independent of one another   Earn +20 pts  