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The equation of a transverse wave travelling along a string is given by y = 5 sin pi (0.5 x - 40...

Question:

The equation of a transverse wave travelling along a string is given by {eq}\displaystyle y = 5 \sin \pi (0.5 x - 40 t) {/eq}.

Find the:

a.Amplitude

b.Wavelength

c.Frequency

d.Velocity

e.Period.

Transverse Wave:

The disturbance that is moving along a direction through a medium is known as a wave. If the disturbance of the particle is perpendicular to the direction of motion of the wave, then such waves are known as the transverse wave.

Answer and Explanation: 1

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Given Data

Wave equation

{eq}y = 5\sin (0.5 \pi x - 40\pi t) {/eq}

Now, the standard equation of the wave is

{eq}y = A \sin (kx -wt) {/eq}

(a)...

See full answer below.


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Transverse & Longitudinal Waves: Definition & Examples

from

Chapter 5 / Lesson 3
175K

Learn about transverse waves vs. longitudinal waves. Study the definitions and examples of each type of wave, and examine longitudinal and transverse wave diagrams.


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