√ Definition of Vibration: Formulas, Example Problems (Complete)

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Definition of Vibration

Okay, now let's start discussing vibrations. Vibration is an event of back and forth motion of an object that passes through the equilibrium point.

Vibration is also often called periodic motion where indeed the motion of vibration is always periodic in every time.

In vibration we know what is called amplitude. The amplitude itself is the deviation that the object passes at the farthest point from the equilibrium point.

The strength and weakness of periodic motion movements are influenced by the energy supplied. The greater the energy given, the stronger the vibrations that occur.

The strength of the vibration also results in the magnitude of the amplitude of the vibration. One time an object experiences vibration is one full back and forth motion of the object.

Many illustrations to describe the vibrational movement of an object. Let's see the illustration below.

Vibrations in the Pendulum

Vibrations in the Pendulum

The pendulum image above is an example of vibration applied to a simple pendulum. Based on the pendulum above, we will explain how one vibration is.

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Okay, the pendulum experiences one vibration, if the object passes through position A-B-C-B-A, that means the object experiences one vibration.

Vibration On Springs

Vibration On Springs

In the spring illustration above, the spring experiences one vibration if the object passes through position C-A-B-A-C. That's where we know the spring experienced one vibration.

Parameters In Vibration

After knowing the types of vibrations in a simple pendulum, we will get to know some of the parameters that exist in a vibration.

Okay, still prepare us to discuss slowly. Vibration parameters here include:

1. amplitude

As explained above, the amplitude is the farthest deviation from the equilibrium point.

  • In the pendulum, the equilibrium point is at point B and the amplitude is from A-B or B-C
  • In a spring, the equilibrium point is at A and the amplitude is from A-B or A-C

2. Frequency

Frequency is the number of pulses in one second. The unit of frequency is Hertz (Hz)

3. Period

Period in the sense is the time needed for an object to experience one vibration.

Simply put, frequency and period are opposites.

Vibration Formula

We have studied many variables in vibration to solve it we need to understand the formulas used. This is the formula that is in vibration.

1. Frequency

F = n/t

Where

  • F = frequency (Hz)
  • n = number of vibrations
  • t = time (s)

2. Period

T = t/n

Where

  • T = period (s)
  • t = time (s)

3. Comparison of T and F

T = 1/F and F = 1/T

After we understand the meaning and formula used in vibration. Let's learn to solve problems that are in vibration.

Vibration Question Example

1. A pendulum is vibrated so that for 2 minutes it produces 80 oscillations. Determine the period?

Discussion

Is known

t = 2 minutes = 120s

n = 80 vibrations

Completion

T = t/n

T = 120/80 = 1.5 s

So the period of the vibration is 1.5s

2. In one minute there are 960 vibrations of a particle. Define:

  • vibration period
  • vibration frequency

Discussion

Is known

n = 960 vibrations

t = 1 minute = 60 s

Completion

T = t/n

T = 60/960

T = 0.0625 s

So the period of vibration is 0.0625s

f = n/t

f = 960/60

f = 16 Hz

So the vibration frequency is 16Hz

Maybe enough discussion of this vibration. Hope it is useful.

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