A long rope is fixed at one end and the free end is made to oscillate in one plane at right angle to the rope with a frequency of 4Hz, the successive crest are 0.6m apart. Calculate the speed of wave for what frequency would the wave lenght be 30cm?
Yes
0.6 meter = c T = c /f = c /4
so c = 2.4 m/s
0.3 = c /f = 2.4 / f
f = 2.4 /0.3 = 8 Hz
To calculate the speed of the wave, we can use the formula:
Speed (v) = Frequency (f) x Wavelength (λ)
Given:
Frequency (f) = 4 Hz
Crest Separation (λ) = 0.6 m
Substituting the given values into the formula, we can find the speed of the wave:
Speed (v) = 4 Hz x 0.6 m
= 2.4 m/s
Therefore, the speed of the wave is 2.4 m/s.
Now, let's find the frequency at which the wavelength would be 30 cm:
Wavelength (λ) = 30 cm = 0.3 m
Rearranging the formula, we can find the frequency:
Frequency (f) = Speed (v) / Wavelength (λ)
= 2.4 m/s / 0.3 m
= 8 Hz
Therefore, the frequency at which the wavelength would be 30 cm is 8 Hz.