A 2.0 meter long rope is hanging vertically from the ceiling and attached to a vibrator. A single pulse is observed to travel to the end of the rope in 0.50s. what frequency should be used by the vibrator to maintain three whole waves in the string.

Answer 1

To find the frequency required to maintain three whole waves in the string, we need to first determine the wavelength of the waves.

Wavelength is given by the formula:

wavelength = length of rope / number of waves
= 2.0 m / 3

Now, we can use the equation for wave speed to find the frequency:

wave speed = frequency * wavelength

Given that the pulse travels to the end of the rope in 0.50s, we can determine the wave speed:

2.0 m / 0.50 s = 4.0 m/s

Now, we can rearrange the wave speed equation to solve for frequency:

frequency = wave speed / wavelength
= 4.0 m/s / (2.0 m / 3)
= 6.0 Hz

Therefore, the vibrator should have a frequency of 6.0 Hz to maintain three whole waves in the string.