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16.2 Exercise 9

Avg difficulty 2.5

A transverse wave on a string is modeled with the wave function y(x,t)=(0.20cm)sin(2.00m−1x−3.00s−1t+π16).y \left(x , t\right) = \left(0.20 \text{cm}\right) \text{sin} \left(2.00 \text{m}^{−1} x - 3.00 \text{s}^{−1} t + \frac{\pi}{16}\right) . What is the height of the string with respect to the equilibrium position at a position x=4.00mx = 4.00 \text{m} and a time t=10.00s?t = 10.00 \text{s} ?

OpenStax University Physics Volume 1, 16.2 Mathematics of Waves, exercise 9

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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.