The distance between two successive crests of

a certain transverse wave is 1.42 m. Eight
crests pass a given point along the direction
of travel every 19.5 s.
Calculate the wave speed.
Answer in units of m/s

To calculate the wave speed, we can use the formula:

Wave speed = Distance traveled / Time taken

In this case, the distance traveled is the distance between two successive crests, which is 1.42 m. The time taken is the time it takes for eight crests to pass a given point, which is 19.5 s.

Wave speed = 1.42 m / 19.5 s

Calculating the wave speed:

Wave speed = 0.073 m/s

Therefore, the wave speed is 0.073 m/s.

To calculate the wave speed, we can use the formula:

Wave speed (v) = Frequency (f) × Wavelength (λ)

Given that the distance between two successive crests (wavelength) is 1.42 m and that eight crests pass a given point every 19.5 seconds, we can determine the frequency as follows:

Frequency (f) = Number of Crests ÷ Time taken
f = 8 crests ÷ 19.5 s

Now, let's calculate the frequency:

f ≈ 0.4103 Hz

Substituting the values back into the wave speed formula:

v = f × λ
v = 0.4103 Hz × 1.42 m

Now, we calculate the wave speed:

v ≈ 0.5826 m/s

Therefore, the wave speed is approximately 0.5826 m/s.