SUMMARY
In longitudinal waves, compressions correspond to the highest displacement, analogous to crests in transverse waves, while rarefactions represent troughs. The relationship between compression and rarefaction is determined by the gradient of displacement, expressed as ∂u/∂x. For sinusoidal waves, maximum and minimum pressures occur at zero displacement, while pressure changes are zero at maximum displacement. An interactive animation demonstrates these concepts effectively.
PREREQUISITES
- Understanding of wave mechanics
- Familiarity with longitudinal and transverse wave properties
- Basic knowledge of sinusoidal functions
- Ability to interpret graphical representations of waves
NEXT STEPS
- Explore the mathematical representation of longitudinal waves
- Learn about wave propagation in different mediums
- Investigate the effects of boundary conditions on wave behavior
- Examine the applications of longitudinal waves in acoustics
USEFUL FOR
Students of physics, educators teaching wave mechanics, and professionals in acoustics or engineering fields interested in wave behavior and properties.