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standing wave, also referred to as stationary wave, combination of 2 waves relocating in opposite directions, each having actually the very same amplitude and frequency. The phenomenon is the outcome of interference; that is, as soon as waves are superimplemented, their energies are either added together or canceled out. In the instance of waves moving in the same direction, interference produces a traveling wave. For oppositely moving waves, interference produces an oscillating wave solved in area.

A vibrating rope tied at one end will develop a standing wave, as shown in the figure; the wave train (line B), after showing up at the addressed end of the rope, will be reflected ago and superapplied on itself as an additional train of waves (line C) in the very same plane. Since of interference in between the two waves, the resultant amplitude (R) of the two waves will be the sum of their individual amplitudes. Part I of the figure shows the wave trains B and C coinciding so that standing wave R has twice their amplitude. In component II, 1/8 period later, B and C have actually each shifted 1/8 wavelength. Part III represents the situation 1/8 duration still later on, once the amplitudes of the component waves B and also C are oppositely directed. At all times tright here are positions (N) along the rope, dubbed nodes, at which tbelow is no movement at all; there the 2 wave trains are always in opposition. On either side of a node is a vibrating antinode (A). The antinodes alternate in the direction of displacement so that the rope at any immediate resembles a graph of the mathematical attribute referred to as the sine, as represented by line R. Both longitudinal (e.g., sound) waves and transverse (e.g., water) waves deserve to develop standing waves.

This section concentrates on waves in bounded mediums—in particular, standing waves in such systems as stretched strings, air...

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The Editors of Encyclopaedia jiyuushikan.orgThis article was many newly revised and also updated by Amy Tikkanen.