Consider a string with a linear mass density of 0.1007 g / cm , which is oscilla

Question

Consider a string with a linear mass density of 0.1007g/cm, which is oscillating as shown in the figure. The string is under a tension of 17.61N and is vibrating at a frequency of 66.22Hz. What is the length of the string?

Do not necessarily need the image.

Image:

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Consider a string with a linear mass density of 0.1007g/cm, which is oscillating as shown in the figure. The string is under a tension of 17.61N and is vibrating at a frequency of 66.22Hz. What is the length of the string? Do not necessarily need the image.

Explanation / Answer

f=(sqrt(T/mu))/2L

where f is frequency T is tension, mu is linear mass density and L is length of string

sub everything you know

0.1007g/cm=0.01007kg/m

66.22Hz=(sqrt(17.61N/0.01007kg/m))/2L

solve for L

L=0.3158m

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