A standing wave is created on a string that is (1.75 mathrm{~m}) long. The wave has eight

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A standing wave is created on a string that is \(1.75 \mathrm{~m}\) long. The wave has eight nodes counting the nodes at the two ends.

(a) What is the wavelength?

(b) What is the frequency if the wave speed is \(130 \mathrm{~m} / \mathrm{s}\) ?

(c) If the resultant displacement is \(20.0 \mathrm{~mm}\), write the time-dependent wave function that describes the standing wave, including units where appropriate.

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