To calculate the velocity of the ripples produced by the vibrator, we need to use the formula:
Velocity = Frequency × Wavelength
Given that the vibrator produces 48 ripples per 6 seconds and the ripples are 4cm apart, we can first calculate the frequency:
Frequency = Number of ripples ÷ Time
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Frequency = 48 ripples ÷ 6 seconds
Frequency = 8 ripples/second
Next, we need to calculate the wavelength:
Wavelength = Distance between ripples
Since the ripples are 4cm apart, the wavelength is 4cm.
Now we can calculate the velocity:
Velocity = Frequency × Wavelength
Velocity = 8 ripples/second × 4cm
Velocity = 32 cm/second
Therefore, the velocity of the ripples produced by the vibrator is 32 cm/second.