Answer :

To calculate the speed of the wave, multiply the wavelength by the frequency. For the given wave completing a cycle in 1.37s with a length of 4.25m, the speed of the wave is 3.10m/s, the speed of the wave is 3.10 meters per second.

To find the speed of the wave, we use the formula: speed = wavelength × frequency.

First, we need to find the frequency. Frequency is the number of cycles completed per unit of time. Since one cycle is completed in 1.37 seconds, the frequency (f) is the reciprocal of the time taken for one cycle: f = 1 / 1.37 Hz.

Now, we can calculate the wavelength (λ). Wavelength is the distance between two consecutive crests (or troughs) of the wave. Given that the wave is 4.25 meters long, the wavelength is 4.25 m.

Now, we can plug in these values into the speed formula: speed = wavelength × frequency.

speed = 4.25 m × (1 / 1.37 Hz) = 3.10 m/s.

So, the speed of the wave is 3.10 meters per second.

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Rewritten by : Barada