Wave Speed (v) in Different Types

Example of wave speed

Speed of transverse wave on a string

The speed of a wave depends on the properties of the ___

medium in which it travels

The speed of a wave on a stretched string depend on the ___ that can be done on the string’s ___

Tension of the string (F), linear density

For waves with small amplitude, the relationship is __

v = sqrt FT/μ while μ = m/L

speed of transverse wave on a string

Wave speed (v) - m/s

Tension of the string (FT) - N

Linear density (μ) - kg/m

Mass of the string (m) - kg

Length of the string (L) - m

The speed of longitudinal wave depends on an ___ and on an ___ of a medium

Elastic property, inertial property (density)

Generally, the speed of longitudinal wave is expressed as ___

v = sqrt of elasticity/density

for solid: v = sqrt of σ/ Ps

For liquid and gas: v = sqrt of β/P

Speed of longitudinal wave

Young’s modulus of elasticity (σ) - N/M2

Density of Solid (Ps) - kg/m3

Bulk’s Modulus of Elasticity (β) - N/m2

Density of Liquid or Gas - kg/m3