Showing 31 to 40 of 178 Questions
  • A standing-wave pattern is observed in a thin wire with a length of 3.00 m. The equation of the wave is where x is in meters and t is in seconds. y = (0.002 m) sin (πx) cos (100πt) (a) How many loops does this pattern exhibit? (b) What is the fundamental frequency of vibration of the wire? (c) What If? If the original

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    537
  • The chains suspending a child’s swing are 2.00 m long. At what frequency should a big brother push to make the child swing with largest amplitude?

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    303
  • An earthquake can produce a seiche in a lake, in which the water sloshes back and forth from end to end with remarkably large amplitude and long period. Consider a seiche produced in a rectangular farm pond, as in the cross-sectional view of Figure P18.33. (The figure is not drawn to scale.) Suppose that the pond is 9.15 m long and of uni

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    242
  • The Bay of Fundy, Nova Scotia, has the highest tides in the world, as suggested in the photographs on page 452. Assume that in mid-ocean and at the mouth of the bay, the Moon’s gravity gradient and the Earth’s rotation make the water surface oscillate with amplitude of a few centimeters and a period of 12 h 24 min. At the head of the

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    206
  • Standing-wave vibrations are set up in a crystal goblet with four nodes and four antinodes equally spaced around the 20.0-cm circumference of its rim. If transverse waves move around the glass at 900 m/s, an opera singer would have to produce a high harmonic with what frequency to shatter the glass with a resonant vibration?

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    596
  • The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe open at both ends. (a) Find the frequency of the lowest note that a piccolo can play, assuming that the speed of sound in air is 340 m/s. (b) Opening holes in the side effectively shortens the length of the resonant column. If the highest note

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    362
  • Calculate the length of a pipe that has a fundamental frequency of 240 Hz if the pipe is (a) Closed at one end and (b) Open at both ends.

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    383
  • The fundamental frequency of an open organ pipe corresponds to middle C (261.6 Hz on the chromatic musical scale). The third resonance of a closed organ pipe has the same frequency. What are the lengths of the two pipes?

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    176
  • The windpipe of one typical whooping crane is 5.00 ft long. What is the fundamental resonant frequency of the bird’s trachea, modeled as a narrow pipe closed at one end? Assume a temperature of 37°C.

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    311
  • Do not stick anything into your ear! Estimate the length of your ear canal, from its opening at the external ear to the eardrum. If you regard the canal as a narrow tube that is open at one end and closed at the other, at approximately what fundamental frequency would you expect your hearing to be most sensitive? Explain why you can hear

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    193