A long rope is fixed at one end, and the free end is made to oscillate in one plane at right angle with a frequency of 4Hz. The successive crest are 0.6cm apart. Calculate the speed of the wave. For what frequency will the wave length be 30cm?
A long rope is fixed at one end, and the free end is made to oscillate in one plane at right angle with a frequency of 4Hz. The successive crest are 0.6cm apart. Calculate the speed of the wave. For what frequency will the wave length be 30cm?
Speed=4*0=6=2.4.
Frequency=2.4*30=0.08/3.0*10 8
/3*10
Ayomide
F=4Hz,V=?
V=4×0•6,V=2•4m/s
F=4=30,d=?
F=2•4/0•3=7Hz
Recall that speed = wavelength * frequency
To calculate the speed of the wave, we can use the formula: speed = frequency × wavelength.
Given information:
Frequency (f) = 4 Hz
Distance between successive crests (wavelength) = 0.6 cm
First, let's convert the given wavelength from centimeters to meters:
0.6 cm = 0.6/100 m = 0.006 m
Now we can substitute the values into the formula:
speed = frequency × wavelength
speed = 4 Hz × 0.006 m
speed = 0.024 m/s
So, the speed of the wave is 0.024 m/s.
Now let's calculate the frequency required for a wavelength of 30 cm.
Given information:
Wavelength = 30 cm = 30/100 m = 0.3 m
Rearranging the formula, we have:
speed = frequency × wavelength
frequency = speed / wavelength
frequency = 0.024 m/s / 0.3 m
frequency ≈ 0.08 Hz
So, the frequency required for a wavelength of 30 cm is approximately 0.08 Hz.