Water ripples are caused to travel across the surface of a shallow tank by means of a suitable straight vibration.the distance between successive crest is 4.0cm and the wave travel 30cm in 1.5sec.calculate the wave length and velocity of the waves and the frequency of the vibration.
I don’t know if teach me
To find the wavelength, velocity, and frequency of the waves, we can use the wave equation:
v = λf
where:
v = velocity of the wave
λ = wavelength of the wave
f = frequency of the vibration
First, let's find the wavelength (λ) of the waves.
The distance between successive crests is given as 4.0 cm. This is equal to one wavelength (λ). Therefore, λ = 4.0 cm.
Next, let's find the velocity (v) of the waves.
The wave travels a distance of 30 cm in 1.5 seconds. The formula to calculate velocity is:
v = d/t
where:
v = velocity
d = distance
t = time
Substituting the given values:
v = 30 cm / 1.5 sec = 20 cm/sec
Now, let's find the frequency (f) of the vibration.
Using the wave equation, we can rearrange it to solve for frequency:
f = v / λ
Substituting the given values:
f = 20 cm/sec / 4.0 cm = 5 Hz
Therefore, the wavelength of the waves is 4.0 cm, the velocity of the waves is 20 cm/sec, and the frequency of the vibration is 5 Hz.