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You dip your finger into a pan of water twice each second, producing waves with crests...

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happyface22 | Student, Grade 11 | (Level 2) Honors

Posted February 13, 2012 at 8:30 AM via web

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You dip your finger into a pan of water twice each second, producing waves with crests that are separated by 0.19 m. Determine the frequency of. . .

these water waves. Answer in units of Hz

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enotechris | College Teacher | (Level 2) Senior Educator

Posted February 13, 2012 at 10:54 AM (Answer #1)

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Frequency is simply cycles per second, or Hertz (Hz). Since you dip your finger in the water twice per second, the frequency is 2 Hz.

The velocity of a wave (v) is equal to the length of the wave (l) times the frequency (Hz), or v=lf.  Since crest to crest is separated by 0.19 meters, that can be assumed to be the length of the wave.  In this case, the velocity of the resulting waves is

v = (0.19 m)*(2 1/sec) = .38 m/sec

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