STANDING WAVES ON A STRING -If a wire is 2 meters long, and has a radius of 1mm

Question

STANDING WAVES ON A STRING
-If a wire is 2 meters long, and has a radius of 1mm and the linear density of 10g/m. Then, what is the mass of the wire (assume completely cylindrical)?
-Derive a result for the frequency of the string if you know the tension (T), linear density (m), number of antinodes (n), and the length L?
-If raising the pitch by one octave in music is when you double the frequency (ie A, 440 Hz, A up one octave 880 Hz), list three physical ways to double the frequency that are independent of each other. Also list how much you should change each quantity. Use your result from question 2 to answer this question

Explanation / Answer

(a) Given that    L = 2 m    r = 1 x 10-3 m linear density = M/L = 10 g/m    Therefore           M = m L = 0.001 x 2 = 0.002 kg = 2 g (b) Frequency of the string f = n v / 2 L                                             = [n / 2L ] [T/ ]                                            I hope this helps you.

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