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23 Nov 2019

How does the equation for displacement differ between a traveling wave and simple harmonic motion. Why is the formula for the velocity in simple harmonic motion so different from the one for the speed of the wave in traveling waves? When a wave travels, what is moving and how?

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Jean Keeling
Jean KeelingLv2
21 Jul 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A transverse harmonic wave travels on a rope according to the following expression:

 

The mass density of the rope is = 0.115 kg/m. x and y are measured in meters and t in seconds.

1) What is the amplitude of the wave?

2) What is the frequency of oscillation of the wave?

3) What is the wavelength of the wave?

4) What is the speed of the wave?

5) What is the tension in the rope?

6) At x = 3.8 m and t = 0.44 s, what is the velocity of the rope? (watch your sign)

7) At x = 3.8 m and t = 0.44 s, what is the acceleration of the rope? (watch your sign)

8) What is the average speed of the rope during one complete oscillation of the rope?

9) In what direction is the wave traveling?

10) On the same rope, how would increasing the wavelength of the wave change the period of oscillation?

A fisherman notices that his boat is moving up and downperiodically without any horizontal motion, owing to waves on thesurface of the water. It takes a time of 2.70 s for the boat totravel from its highest point to its lowest, a total distance of0.680 m. The fisherman sees that the wave crests are spaced ahorizontal distance of 6.50 m apart.

How fast are the waves traveling?
Express the speed v in meters per second using three significantfigures.

What is the amplitude A of each wave?
Express your answer in meters using three significantfigures.

THANK U!

When an object in simple harmonic motion is at its maximum displacement from equilibrium, which of the following is at a maximum? (a) velocity, (b) acceleration, or (c) kinetic energy. 

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