1. To calculate the speed of the waves, we can use the wave equation: v = f * λ
where v is the speed of the waves, f is the frequency, and λ is the wavelength.
We are given the frequency (f = 4 Hz) and the distance between successive crests (λ = 0.6 m).
Using the wave equation:
v = 4 Hz * 0.6 m
v = 2.4 m/s
The speed of the waves is 2.4 m/s.
2. To find the frequency for a wavelength of 30 cm (0.3 m), we can rearrange the wave equation to solve for f:
f = v / λ
We are given the speed of the waves (v = 2.4 m/s) and the wavelength (λ = 0.3 m).
Using the wave equation:
f = 2.4 m/s / 0.3 m
f = 8 Hz
The frequency for a wavelength of 30 cm is 8 Hz.
A long rope is fixed at one end and the free end is made to oscillate in one plane at right angles to the rope with a frequency of 4hertz. The successive crest at 0.6meter apart
calculate the speed of the waves. For what frequency would the wavelength be 30cm?
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