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16.2 Exercise 13

Avg difficulty 2.5

A wave is modeled with the function y(x,t)=(0.25m)cos(0.30m−1x−0.90s−1t+π3).y \left(x , t\right) = \left(0.25 \text{m}\right) \text{cos} \left(0.30 \text{m}^{−1} x - 0.90 \text{s}^{−1} t + \frac{\pi}{3}\right) . Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) initial phase shift, (f) wavelength, and (g) period of the wave.

OpenStax University Physics Volume 1, 16.2 Mathematics of Waves, exercise 13

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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.