2012年1月23日月曜日

Why Waves Propagate

why waves propagate

Beautiful Knowledgeable: Waves dan The Types

Waves

Waves can occur when a system is disturbed from its equilibrium position and if it can run or disturbance propagates from a region within that system to other areas within a certain time interval.
In its journey, it is usually a wave of energy moving from place to place of origin in its path. 

Establishment of Waves

In Figure 1.1. In a wave of water that will happen. So a wave will occur when there are sources of vibration and there are merambatkannya. In the wave propagation occurs vibrational energy.

Types of Wavess


Theory of waves and surges which propagate the length of a horizontal rectangular canal, imparting to the fluid contained within the canal velocities ... sensibly the same from the top to the bottom
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Joseph Valentin Boussinesq

 Under the direction of propagation and vibration directionsv
1. Transverse waves     Transverse wave is the wave propagation direction perpendicular to the direction of vibration. For example          water waves, and light cords.


An Introduction to Electromagnetic Wave Propagation & Antennas
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Shane Cloude
2. Longitudinal Waves
    Longitudinal waves namely wave propagation direction and parallel to the direction of vibration. Examples  spring and the sound wave.
Based on the medium
1. Mechanical Waves
    Namely mechanical waves need a medium in which waves propagate. For example the string and sound  waves.2. Electromagnetic Waves
    waves that do not require the media in the vine. These waves are called electromagnetic waves. Examples of light, radio waves and X-rays.
Based on the amplitudesv
1. Waves Walking
">    Wave amplitude remained the traveling wave. Traveling wave has the properties at any point through which would have the same amplitude. Note the traveling wave from the source O to the point p which is a distance x in Figure 1.4. How to determine the deviation at the point p? Deviation can be determined from the deviation of the resonance by using time travel. If O t seconds vibrating means vibrates titikp have tp seconds with the relationship:

                         Figure 1.42. Stationary waves
    Wave amplitude changes according to the position of stationary waves.
Stationary wave of wave interference comes and reflected waves have equal amplitude and frequency but opposite directions.
 Stationary waves on the free end of the free end of the reflected wave does not experience phase reversal, resulting in a wave stationary wave,

Free Edge

End Tied

Examples of stationary waves are waves vibrated the other end of the rope and tied the other end



You may consider the stationary wave ends tied in Figure 1.6. Waves are formed from two waves of the wave came and reflected waves. Deviation equation at P meet the combination of both. Has a deviation of the incident wave:
y1 = A sin [ωt - k (l - x)]
While the reflected wave has a deviation:
y2 =-A sin [ωt - k (l + x)]
The combination of the incident wave y1, y2 with reflected waves meet at a point p
yp = y1 + y2
     
= A sin [ωt - k (l - x)] - A sin [ωt - k (l + x)]
      
= 2A cos (ωt - kx + t + kl - kl + kx) sin (ωt - kx + kl - kl + t + kx)
      
= 2A cos (2 ωt - 2kl). sin (2kx)
      
yp = 2A sin kx cos (ωt - kl) .................. (1.8)
Equation 1.
8 shows that the tip bonded stationary wave amplitude is incorporated in its position that satisfy the following equation.
Ap = 2A sin kx ........................................... (1.9)



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