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17.1 Exercise 12

Avg difficulty 2.5

A sound wave produced by an ultrasonic transducer, moving in air, is modeled with the wave equation s(x,t)=4.50nmcos(9.15×104m−1x− s \left(x , t\right) = 4.50 \text{nm} \text{cos} \left(\right. 9.15 \times 10^{4} \text{m}^{−1} x -
2π(5.00MHz)t).2 \pi \left(5.00 \text{MHz}\right) t \left.\right) . The transducer is to be used in nondestructive testing to test for fractures in steel beams. The speed of sound in the steel beam is v=5950m/s.v = 5950 \text{m}/\text{s} . Find the wave function for the sound wave in the steel beam.

OpenStax University Physics Volume 1, 17.1 Sound Waves, exercise 12

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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.