A long rope is fixed at one end and free is made to oscillate in airplane at right angles to the rope with frequency of 4Hz, the successive crest are 0.6m apart, calculate the end of the waves. For what frequency would the wavelength be 30cm?.
To calculate the speed of the waves on the rope, we can use the formula:
Speed (v) = Frequency (f) x Wavelength (λ)
In the given scenario, the frequency (f) is given as 4 Hz, and the distance between successive crests (wavelength, λ) is 0.6 m.
Substituting the values into the formula, we have:
Speed (v) = 4 Hz x 0.6 m = 2.4 m/s
So, the speed of the waves on the rope is 2.4 m/s.
Now, let's calculate the frequency (f) for a given wavelength of 30 cm (0.3 m).
We rearrange the formula:
f = Speed (v) / Wavelength (λ)
Substituting the values, we get:
f = 2.4 m/s / 0.3 m = 8 Hz
Therefore, for a wavelength of 30 cm, the frequency of the waves would be 8 Hz.