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A wave speed in a piano string of linear density 5.0 g/m is 140 m/s. What is the tension in the string?

Sagot :

xero099

Answer:

The tension in the string is 98 newtons.

Explanation:

Since a mecanical wave is propagated throughout the material of the string under tension, which is calculated by using the following formula:

[tex]T = v^{2}\cdot \mu[/tex] (1)

Where:

[tex]T[/tex] - Tension in the string, in newtons.

[tex]v[/tex] - Wave speed, in meters per second.

[tex]\mu[/tex] - Linear density, in kilograms per second.

If we know that [tex]v = 140\,\frac{m}{s}[/tex] and [tex]\mu = 5\times 10^{-3}\,\frac{kg}{m}[/tex], then the tension in the string is:

[tex]T = v^{2}\cdot \mu[/tex]

[tex]T = 98\,N[/tex]

The tension in the string is 98 newtons.

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