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A transverse wave with a frequency of 125 Hz is traveling in the x-direction. An illustration of a transverse wave with the distance from the high point to the low point labeled 5 centimeters and the vertical distance from the high point of the wave to the low point of the wave labeled 12 m. How long will it take this wave to travel 3000 m in the x-direction?

Answer :

Answer:

2.4 seconds

Explanation:

onyebuchinnaji

The time taken for the wave to travel 3000 cm is 2.4 seconds.

What is wavelength?

This is a distance in line of a progressive wave, from one point to another.

Distance of one wavelength

The distance of a half wavelength (high point to the low point) is given as 5 cm.

[tex]\frac{1}{2} \lambda = 5\ cm\\\\\lambda = 2(5 \ cm) = 10 \ cm = 0.1 \ m[/tex]

Speed of the wave

The speed of the wave is calculated as follows;

[tex]v = f \lambda\\\\v = 125 \times 0.1\\\\v = 12.5 \ m/s[/tex]

Time to travel 3000 cm

The time taken for the wave to travel 3000 cm is calculated as follows;

[tex]t = \frac{d}{v} \\\\t = \frac{30 \ m}{12.5 \ m/s} \\\\t = 2.4 \ s[/tex]

Learn more about speed of waves here: https://brainly.com/question/12215474

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