Transverse Displacement Formula |
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| y(x,t)=A⋅sin(k⋅x−w⋅t+ϕ) | ||
| 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 |
| ω (Greek symbol omega) = Angular Frequency | deg/sec | rad/s |
| t = Time | sec | s |
| ϕ = 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.
