Consider a string of length 1.0 meter, fixed at both ends, with mass 100 grams and tension 100 newtons. part a give the number of nodes and antinodes set up on the string if it is driven at a frequency of 95 hertz. be sure to include the ends of the string in your count. give the number of nodes followed by the number of antinodes, separated by a comma.

Question

Physics

Brennen Powers

28 October, 12:39

Consider a string of length 1.0 meter, fixed at both ends, with mass 100 grams and tension 100 newtons. part a give the number of nodes and antinodes set up on the string if it is driven at a frequency of 95 hertz. be sure to include the ends of the string in your count. give the number of nodes followed by the number of antinodes, separated by a comma.

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Jonathon Ellis · Answer 1

To answer the problem we would be using this formula which isv = sqrt (T / (m/L))

v = sqrt (100 N / [ (0.100 kg) / (1.0 m) ])

v = 31.62 m/s

v = fλ

31.62 m/s = (95 Hz) (λ)

λ = 0.333 m

For every wavelength along a string there will be 2 antinodes.

1.0 m / 0.333 m = 3

3 * 2 = 6 antinodes

6 + 1 = 7 nodes