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Question: A child on a swing makes 7 complete back and forth vibrations in 14 seconds. If the child's resulting wave has a wavelength of 25 m, what is the wavespeed the child produced?
The wave speed of the child's swing can be determined using the formula: wave speed = frequency x wavelength The frequency is the number of complete vibrations or oscillations made per unit of time. In this case, we know that the child makes 7 complete vibrations in 14 seconds. So, the frequency is: 7 vibrations / 14 seconds = 0.5 vibrations per second (or Hertz) The wavelength, according to your query, is 25 m. Plug these values into the formula: wave speed = 0.5 Hz x 25 m = 12.5 m/s. So, the wave speed the child produces while swinging is 12.5 m/s.
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