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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.

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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 motionThey 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.

Frequency and period are each others' reciprocals.

relation between simple harmonic motion and uniform circular motion

That are inversely related

no they are independent of one another

Q: Relation between simple harmonic motion uniform circular motion?

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No. "Simple harmonic motion" is motion in a single dimension; it can be represented as the projection of a uniform circular motion.

linear is which is on a straight path and circular motion is which has a curved path. *In a uniform linear motion,the velocity is constant and the acceleration is zero.So,uniform linear motion is an unaccelerated motion. *In uniform circular motion the velocity can be variable although the speed is uniform.So,it is an accelerated motion.

In uniform circular motion, what quantities are constant?

yes, acceleration is constant in uniform circular motion

speed... this is said to be uniform circular motion

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Simple Harmonic motion is circular motion. Look at a graph showing simple harmonic motion... you'll see it.

No. "Simple harmonic motion" is motion in a single dimension; it can be represented as the projection of a uniform circular motion.

linear is which is on a straight path and circular motion is which has a curved path. *In a uniform linear motion,the velocity is constant and the acceleration is zero.So,uniform linear motion is an unaccelerated motion. *In uniform circular motion the velocity can be variable although the speed is uniform.So,it is an accelerated motion.

In uniform circular motion, what quantities are constant?

yes, acceleration is constant in uniform circular motion

speed... this is said to be uniform circular motion

When an object is moving in a uniform circular motion while traveling in a circular path, this means it has a constant speed. When an object is moving in a circular path, this indicates it is constantly being pulled towards the center of the circle.

This is called uniform circular motion.

Circular Motion -a motion along a circular path or the motion of an object in a circular Example -blades of a ceiling fan when the fan is switched on. or The motion of body along the circular path is called circular motion

the earth revolves around the sun in a circular path

uniform

That means that something moves in a circle, but that the velocity is not uniform.