A guitar string with a linear density of 2.0 g/m is stretched between supports that are...
A guitar string with a linear density of 2.0 g/m is stretched between supports that are 62 cm apart. The string is observed to form a standing wave with three antinodes when driven at a frequency of 440 Hz.
What is the frequency of a standing wave with five antinodes on this string? What is the tension of the string?
Homework Answers
A)
For 3 antinodes,
3f = 440
Frequency, f = 440/3 = 146.67 Hz
Frequency of frequency with 5 antinodes, f' = 5 x 146.67 = 733.33 Hz
B)
Tension, T = f^2 x 4L^2 x u
T = 146.67^2 x 4 x 0.62^2 x 0.002 = 66.15 N
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