The wave function associated with standing waves established in a 5.00 m long light-weight rope is y = 0.01600 sin(xx)cos(90xt) 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 6.25, how many half- wavelengths are present in the new pattern? half-wavelength(s)
The wave function associated with standing waves established in a 5.00 m long light-weight rope is y = 0.01600 sin(xx)cos(90xt) 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 6.25, 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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A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.
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![The wave function associated with standing waves established in a 5.00 m long light-weight rope is
y = 0.01600 sin(x)cos(90xt)
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 6.25, 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%2Fb0b58f0f-1475-4cce-af5a-6ebf1197a060%2Ff127b7ab-e69f-4c61-943e-5ecfc8830b60%2Fxrta9ed_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The wave function associated with standing waves established in a 5.00 m long light-weight rope is
y = 0.01600 sin(x)cos(90xt)
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 6.25, how many half-
wavelengths are present in the new pattern?
half-wavelength(s)
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