Transverse Displacement Formula |
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| \( y(x,t) \;=\; A \cdot sin( k \cdot x - w \cdot t + \phi ) \) | ||
| Symbol | English | Metric |
| \( y(x,t) \) = Transverse Displacement | \(in\) | \(mm\) |
| \(A \) = Amplitude of the Wave | \(in\) | \(mm\) |
| \( k \) = Wave Number | \(deg \;/\; ft\) | \(rad \;/\; m\) |
| \( x \) = Variable (The Position Along the Direction of the Wave (Along with Time)) | \(in\) | \(mm\) |
| \(\large{ \omega }\) (Greek symbol omega) = Angular Frequency | \(deg \;/\; sec\) | \(rad \;/\; s\) |
| \( t \) = Time | \(sec\) | \(s\) |
| \( \phi \) = Phase Constant (The wave at time t=0 and position x=0. Tells you the starting point of the oscillation cycle at the origin of space and time.) | \(deg\) | \(rad\) |
Transverse displacement is the movement or change in position of a point on an object or within a medium, in a direction perpendicular to a reference line or the direction of a propagating wave or applied force.
Wave Mecanics - In a transverse wave, the particles of the medium oscillate or are displaced in a direction perpendicular to the direction the wave travels. Transverse displacement in this context is the extent to which a particle moves from its equilibrium position in this perpendicular direction.
Solid Mecanics and Engineering - When a structural member like a beam is subjected to a load, it can deform. Transverse displacement in this case refers to the movement of points on the beam in a direction perpendicular to its longitudinal axis. This is often due to bending.
