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Wave Propagation in Strings

The velocity of propagation of a wave in a string is proportional to the square root of the force of tension of the string, and inversely proportional to the square root of the linear density of the string.

The wave propagation speed equals the square root of the string tension divided by the linear mass density.

Formula

QuantityVariable["v", "Speed"] == Sqrt[QuantityVariable["T", "Tension"]/QuantityVariable["μ", "LinearMassDensity"]]

symbol description physical quantity
v wave propagation speed "Speed"
T string tension "Tension"
μ linear mass density "LinearMassDensity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Wave Propagation in Strings"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Wave Propagation in Strings"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Wave Propagation in Strings"], {QuantityVariable["v","Speed"] -> Quantity[100, ("Meters")/("Seconds")], QuantityVariable["T","Tension"] -> Quantity[1000, "Newtons"]}]
Out[3]=

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