Back to 16.3 Wave Speed on a Stretched String

16.3 Exercise 21

Avg difficulty 2.5

A sinusoidal wave travels down a taut, horizontal string with a linear mass density of μ=0.060kg/m\mu = 0.060 \text{kg}/\text{m}. The maximum vertical speed of the wave is vymax=0.30cm/s.v_{y \text{max}} = 0.30 \text{cm}/\text{s} . The wave is modeled with the wave equation y(x,t)=Asin(6.00m−1x−24.00s−1t).y \left(x , t\right) = A \text{sin} \left(6.00 \text{m}^{−1} x - 24.00 \text{s}^{−1} t\right) . (a) What is the amplitude of the wave? (b) What is the tension in the string?

OpenStax University Physics Volume 1, 16.3 Wave Speed on a Stretched String, exercise 21

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.