A vibrator produces 48 ripples per 6 seconds across a water tank.  The ripples are 4cm apart.  Calculate the velocity of the ripples.

A vibrator produces 48 ripples per 6 seconds across a water tank. The ripples are 4cm apart. Calculate the velocity of the ripples.

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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

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.

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