An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming...

Question:

An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.60 Hz (typical of earthquakes, which actually include a mixture of frequencies), what amplitude is needed so that objects begin to leave contract with the ground? (Hint: Set the acceleration {eq}a > g {/eq}.)

Sinusoidal Transverse Wave:

A transverse wave occurs when the disturbance arises perpendicularly to the direction of the traveling wave. The wave characterized by amplitude, wavelength, frequency, period, and wave speed. The amplitude of a periodic wave is the maximum vertical distance from an undisturbed position. The size of amplitude is related to the carrying energy.

Answer and Explanation: 1

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The displacement x of the sinusoidal transverse wave with respect to the time t is

{eq}x=A \cos \omega t\\ \rm Here:\\ \bullet A\text{: amplitude...

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Transverse Wave: Definition, Parts & Examples

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Chapter 26 / Lesson 2
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Learn what a transverse wave is. Discover the difference between transverse vs. longitudinal waves, examine parts of waves, and study transverse wave examples.


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