Frequency of Vibration The frequency f of vibration of aviolin string is inversely proportional to its length L. Theconstant of proportionality k is positive and depends on thetension and density of the string.(a) Write an equation that represents this variation.(b) What effect does doubling the length of the string haveon the frequency of its vibration?
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Frequency of Vibration The frequency f of vibration of a
violin string is inversely proportional to its length L. The
constant of proportionality k is positive and depends on the
tension and density of the string.
(a) Write an equation that represents this variation.
(b) What effect does doubling the length of the string have
on the frequency of its vibration?
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