The frequency of vibrations of a vibrating violin string is given by f = 2LV P where L is the length of the string, T is its tension, and p is its linear density.+ (a) Find the rate of change of the frequency with respect to the following. (i) the length (when Tand p are constant) (ii) the tension (when L and p are constant) ( 1/(4L/Tp )|| Your answer cannot be understood or graded. More Information (iii) the linear density (when L and T are constant) -(1/(4L))(/T )(p

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Chapter1: Functions
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The frequency of vibrations of a vibrating violin string is given by

f = 
1
2L
 
T
ρ

where L is the length of the string, T is its tension, and ρ is its linear density.†

The frequency of vibrations of a vibrating violin string is given by
f =
2LV P
where L is the length of the string, T is its tension, and p is its linear density.+
(a) Find the rate of change of the frequency with respect to the following.
(i) the length (when Tand p are constant)
(ii) the tension (when L and p are constant)
( 1/(4L/Tp )||
Your answer cannot be understood or graded. More Information
(iii) the linear density (when L and T are constant)
-(1/(4L))(/T )(p
Transcribed Image Text:The frequency of vibrations of a vibrating violin string is given by f = 2LV P where L is the length of the string, T is its tension, and p is its linear density.+ (a) Find the rate of change of the frequency with respect to the following. (i) the length (when Tand p are constant) (ii) the tension (when L and p are constant) ( 1/(4L/Tp )|| Your answer cannot be understood or graded. More Information (iii) the linear density (when L and T are constant) -(1/(4L))(/T )(p
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