Question
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?
calculate the speed of the waves. For what frequency would the wavelength be 30cm?
Answers
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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.
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.