A standing-wave pattern is observed in a thin wire with a length of 3.00 m. The wave function is y = 0.002 00 sin (πx) cos (100πt) where x and y are in meters and t is in seconds. (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 frequency is held constant and the tension in the wire is increased by a factor of 9, how many loops are present in the new pattern?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 18.33P
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A standing-wave pattern is observed in a thin wire with a length of 3.00 m. The wave function is


y = 0.002 00 sin (πx) cos (100πt)


where x and y are in meters and t is in seconds. (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 frequency is held constant and the tension in the wire is increased by a factor of 9, how many loops are present in the new pattern?

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