# What is the difference between a transverse and a compression wave?

## What is the difference between a transverse and a compression wave?

A longitudinal wave is a wave that moves in the direction that it was started. It has a compression (increased intensity) of the medium particles and a rarefaction (a reduction of intensity). A transverse wave is wave that travels perpendicular or at right angles to the direction it was started.

## What is the differential equation of wave motion?

⇒d2ydt2=(ω2k2)d2ydx2. This equation is called the one dimensional differential equation of waves.

How are a compression wave and a water wave alike and different?

Compression wave also longitudinal wave are wave whose vibration of particles is parallel to the wave motion. Both are mechanical wave such that they require a material medium for transmission; water wave require water as the material medium, while longitudinal waves such as sound require medium such air, string.

### How are compression waves different from transverse waves?

We call traveling compression waves in liquids “longitudinal waves,” in contrast to “transverse waves” typified by a vibrating string. The direction that the material moves, relative to the direction of wave propagation, makes the difference.

### What is the equation for a transverse wave?

The electromagnetic wave equation with E = Ey or Ez, a transverse wave propagating along the x -axis, is (20.167)∂2E (x, t) ∂x2 − 1 v2 ∂2E (x, t) ∂t2 = 0.

How are compression waves related to particle motion?

Longitudinal or compression waves (scalar). The compression of the wave at any point along the string can be described by a scalar quantity. Particle motion is parallel to the direction of travel of the wave.

## How to calculate the direction of a pressure wave?

The general solution of the above wave equation describes a pressure wave traveling in the positive, x, direction as a function P ( x−cmt ): where αm is the attenuation of the medium, ω is the frequency of ultrasound, and P0 is the initial amplitude of the pressure.