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?

t = 240 s

Explanation:

Given:-

- The frequency, f = 125 Hz

- distance from the high point to the low point labeled 5 centimeters

- distance from the high point to the low point labeled 5 centimeters

Find:-

How long will it take this wave to travel 3000 m in the x-direction?

Solution:-

- Distance from the high point to the low point labeled = 5 centimeters denotes half of a cycle of wave or 1/2*wavelength (λ).

- The wavelength (λ) of this wave is:

                               (λ) = 2*5 = 10 cm

- The relationship between speed (v) of wave and its wavelength (λ) and frequency (f) is given by:

                               v = f*λ

                               v = 125*(0.1)

                               v = 12.5 m/s

- The time (t) taken by the wave to travel a distance d = 3000 m in x-direction can be evaluated by the formula:

                               t = d / v

                               t = ( 3000 ) / 12.5

                              t = 240 s