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)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08aa0b19-cba0-4fd4-b1f6-356b8c0f7ad5%2Fbd629d0e-92d6-4374-9339-4b83be675e83%2F4412br_processed.png&w=3840&q=75)
Transcribed Image Text: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)
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VIEWStep 3: Part (b) - Finding the fundamental frequency of vibration of the rope:
VIEWStep 4: Part (c) - Finding the number of half-wavelengths the new pattern exhibit:
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