Does Period Depend On Spring Constant?

What is period of oscillation?

the smallest interval of time in which a system undergoing oscillation returns to the state it was in at a time arbitrarily chosen as the beginning of the oscillation..

Can the spring constant change?

The proportional constant k is called the spring constant. … When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.

What happens to the spring constant when the spring is cut in half?

Spring constant of a spring is inversely proportional to it’s length. Hence, by basic mathematics, the new spring constant will be twice the old one. If cut it in half like a hot dog bun that the bottom is busted out of you will have a big pile of 180deg curled parts.

Does Mass Affect period of oscillation?

The period of oscillation of a simple pendulum does not depend on the mass of the bob. … That means the resistance to changes in motion is directly proportional to the mass. However, the weight (a force) on an object is also proportional to mass.

What two factors affect the period of a pendulum?

The only things that affect the period of a simple pendulum are its length and the acceleration due to gravity. The period is completely independent of other factors, such as mass.

What affects period of oscillation?

Most noteworthy, the period of oscillation is directly proportional to the arms’ length. Moreover, the period of oscillation is inversely proportional to gravity. An increase in the pendulum arm’s length causes a subsequent increase in the period. Also, a decrease in length causes a decrease in the period.

What is the period formula?

We can have all of them in one equation: y = A sin(B(x + C)) + D. amplitude is A. period is 2π/B.

What does a spring constant k depend on?

More generally, the spring constant of a spring is inversely proportional to the length of the spring, assuming we are talking about a spring of a particular material and thickness.

What is a normal spring constant value?

We have revealed that the spring constants of the nine CNCs, derived from the formula k = k’ δ’/δ, ranged from 0.9 N/m at the minimum to 4.8 N/m at the maximum. The average value for the nine CNCs was 1.8 N/m [15], which agrees with results previously reported [13].

WHAT IS A in SHM?

Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. … The acceleration of a particle executing simple harmonic motion is given by, a(t) = -ω2 x(t). Here, ω is the angular velocity of the particle.

What does the period depend on?

The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g, according to The mpeg movie at left (39.5 kB) shows two pendula, with different lengths.

Does period depend on amplitude spring?

The period does not depend on the Amplitude. … The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same.