{"id":2253,"date":"2022-10-26T10:27:18","date_gmt":"2022-10-26T04:57:18","guid":{"rendered":"https:\/\/www.tutoroot.com\/blog\/?p=2253"},"modified":"2022-10-26T10:27:56","modified_gmt":"2022-10-26T04:57:56","slug":"longitudinal-waves-definition-equation-characteristics","status":"publish","type":"post","link":"https:\/\/www.tutoroot.com\/blog\/longitudinal-waves-definition-equation-characteristics\/","title":{"rendered":"Longitudinal Waves – Definition, Equation, Characteristics"},"content":{"rendered":"

A mechanical type of wave, which observes displacement in the same direction as the magnitude of the wave is referred to as Longitudinal Waves. There are multiple types of longitudinal waves, for example, Ultrasonic waves, Sound Waves, Seismic P Waves, etc. And this topic plays an important role in explaining how various important quantities such as displacement, amplitude, frequency, etc, change along or vary with the Longitudinal waves, which we are going to explain in much more detail below.<\/span>\u00a0<\/span><\/p>\n

\"Longitudinal<\/span><\/p>\n

From the above diagram, you can understand the different types of quantities present in the Longitudinal Wave. Moreover, the distance between the two compressions and rarefaction in the diagram can be found by using wavelength. Based on Whether the two waves coincide with each other or not, there are further divided into two types, such as constructive interference and distractive interference.<\/span>\u00a0<\/span><\/p>\n

Constructive Interference<\/span><\/b><\/h2>\n

When both compressions and rarefaction coincide with each other on the longitudinal wave, then it is called constructive interference.<\/span>\u00a0<\/span><\/p>\n

Destructive Interference<\/span><\/b><\/h2>\n

As you can guess, in this form of a longitudinal wave, the compression region, and the rarefaction region do not coincide with each other like constructive interference. Then it is referred to as destructive interference.<\/span>\u00a0<\/span><\/p>\n

Difference Between Longitudinal Waves and Transversal Waves<\/span><\/b><\/h2>\n

Now that we have talked about the Longitudinal Waves. Let us discuss how both parts of longitudinal waves and transversal waves differ from each other. These differences are,\u00a0<\/span>\u00a0<\/span><\/p>\n\n\n\n\n\n\n\n\n
Parameters<\/span><\/b>\u00a0<\/span><\/td>\nLongitudinal Waves<\/span><\/b>\u00a0<\/span><\/td>\nTransversal Waves<\/span><\/b>\u00a0<\/span><\/td>\n<\/tr>\n
Definition<\/span>\u00a0<\/span><\/td>\nA wave moves in the direction of its displacement.<\/span>\u00a0<\/span><\/td>\nA wave that moves perpendicular to its displacement.<\/span>\u00a0<\/span><\/td>\n<\/tr>\n
Dimension<\/span>\u00a0<\/span><\/td>\nOne Dimensional Wave<\/span>\u00a0<\/span><\/td>\nTwo-Dimensional Wave<\/span>\u00a0<\/span><\/td>\n<\/tr>\n
Medium<\/span>\u00a0<\/span><\/td>\nIt can be observed in any type of medium, like Air, Gas, and Solid.<\/span>\u00a0<\/span><\/td>\nWhereas Transverse waves can be found only in Gas and Liquid Medium.<\/span>\u00a0<\/span><\/td>\n<\/tr>\n
Constituents<\/span>\u00a0<\/span><\/td>\nIt consists of compressions and refractions.<\/span>\u00a0<\/span><\/td>\nIt consists of troughs and crests.<\/span>\u00a0<\/span><\/td>\n<\/tr>\n
Examples<\/span>\u00a0<\/span><\/td>\nSound Wave, and Ultrasonic Waves<\/span>\u00a0<\/span><\/td>\nEarthquake S Wave<\/span>\u00a0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Formula of Longitudinal Waves<\/span><\/b><\/h2>\n

The Longitudinal wave is mathematically expressed as,\u00a0<\/span>\u00a0<\/span><\/p>\n

\\(y(x,t)= y_{0}cos[ \\omega (t- \\frac{x}{c} )]\\)<\/strong><\/p>\n

Where <\/span>y = <\/span><\/b>displacement of a point in Longitudinal wave.<\/span>\u00a0<\/span><\/p>\n

X = distance traveled by the point<\/span>\u00a0<\/span><\/p>\n

C = speed of a wave<\/span><\/p>\n

\\(\\omega \\)=\u00a0<\/strong>angular frequency of the wave<\/span>\u00a0<\/span><\/p>\n

T = time elapsed<\/span>\u00a0<\/span><\/p>\n

\\( y_{0} \\)= <\/span><\/span><\/strong>amplitude of oscillations<\/span><\/span><\/p>\n

\\(\\frac{x}{c} \\) =\u00a0<\/strong>Time<\/p>\n

Characteristics of Longitudinal Waves<\/span><\/b><\/h2>\n

There are many characteristics involved in Longitudinal Waves, which we will explain briefly here in this section.<\/span>\u00a0<\/span><\/p>\n