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Displacement of the wave

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A wave causes a displacement y that is given in meters according to y=(0.45) sin (8.0 * 3.14t - 3.14x), where t and x are expressed in seconds and meters.

a.) What is the amplitude of the wave?
b.) what is the frequency of the wave?
c.) What is the wavelength of the wave?
d.) What is the speed of the wave?
e.) Is the wave traveling in the +x or -x direction?

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Solution Summary

The solution shows how to find out the following parameters of the wave: amplitude, frequency, wavelength, speed, and direction.

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This course is the third in a three-term introductory physics sequence. The topics covered in this course include: I. Heat and Thermodynamics, II. Wave Phenomena, and III. Introduction to Special Relativity. These topics are essential for understanding a wide range of physical phenomena, and form the basis for modern physics, including quantum mechanics and statistical mechanics.

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