The wave function associated with standing waves established in a 4.00 m long light-weight rope is y = 0.00300 sin(x)cos(90nt) where x and y are in meters and t is in seconds. (a) How many half-wavelengths does this pattern exhibit? half-wavelength(s) (b) What is the fundamental frequency of vibration of the rope (in Hz)? Hz (c) If the original frequency is held constant and the tension in the rope is increased by a factor of 16, how many half-wavelengths are present in the new pattern? half-wavelength(s)

The wave function associated with standing waves established in a 4.00 m long light-weight rope is y = 0.00300 sin(x)cos(90nt) where x and y are in meters and t is in seconds. (a) How many half-wavelengths does this pattern exhibit? half-wavelength(s) (b) What is the fundamental frequency of vibration of the rope (in Hz)? Hz (c) If the original frequency is held constant and the tension in the rope is increased by a factor of 16, how many half-wavelengths are present in the new pattern? half-wavelength(s)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 30P

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