Longitudinal Waves Formula
The following formula can describe longitudinal waves:
y(x, t)= A cos(2πx/λ – 2πft + ϕ)
Where:
- y is the displacement of the point on the travelling wave
- x is the distance from the point to the wave’s source
- t is the time elapsed
- A is the amplitude of the oscillations
- λ is the wavelength
- f is the frequency
- ϕ is the phase angle
In the case of longitudinal harmonic sound waves, the formula can be written as:
y(x, t) = y0 cos (ω(t-x/c))
Where:
- y0 is the amplitude of the oscillations
- ω is the angular frequency of the wave
- c is the speed of the wave
Longitudinal Waves
Longitudinal Waves are a type of mechanical wave in which the particle oscillates parallel to the direction of the wave. The displacement of the medium in a longitudinal wave is along the direction of wave propagation. Examples of longitudinal waves include sound waves, seismic P waves, ultrasound waves, etc.
In this article, we will learn about Longitudinal Waves, their definition, formula, and examples, along with a comparison with transverse waves.
Table of Content
- What are Longitudinal Waves?
- Examples of Longitudinal Waves
- Longitudinal Waves Formula
- Longitudinal Waves Formulas
- Formation of Longitudinal waves
- Longitudinal Wave of Sound
- Longitudinal Waves of Pressure
- Parts of Longitudinal Wave
- Longitudinal Wave Diagram
- Longitudinal Waves Characteristics
- Particle Vibration
- Difference Between Longitudinal Waves and Transverse Waves