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Two steel guitar strings have the same length. String A

Chapter 14, Problem 17P

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QUESTION:

Problem 17P

Two steel guitar strings have the same length. String A has a diameter of 0.50 mm and is under 410.0 N of tension. String B has a diameter of 1.0 mm and is under a tension of 820.0 N. Find the ratio of the wave speeds, vA/vB, in these two strings.

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QUESTION:

Problem 17P

Two steel guitar strings have the same length. String A has a diameter of 0.50 mm and is under 410.0 N of tension. String B has a diameter of 1.0 mm and is under a tension of 820.0 N. Find the ratio of the wave speeds, vA/vB, in these two strings.

ANSWER:

Step 1 of 5

Given info: The diameter of string A is 0.50 mm and the tension in the wire is 410 N. The diameter of the string B is 1.0 mm and the tension in the string is 820 N.

The formula to calculate the value of the mass of the string is,

  …………. (1)

Here,

“m” is the mass of the string

 is the density.

V is the volume.

 

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