The wave function associated with standing waves established in a 4.00 m long wire is y = 0.01600 sin(x)cos(90πt) where x and y are in meters and t is in seconds. (a) How many half-wavelengths does this pattern exhibit? 4 half-wavelength(s) (b) What is the fundamental frequency of vibration of the wire (in Hz)? 45 X Hz (c) If the original frequency is held constant and the tension in the wire is increased by a factor of 16, how many half-wavelengths are present in the new pattern? 1 half-wavelength(s)
The wave function associated with standing waves established in a 4.00 m long wire is y = 0.01600 sin(x)cos(90πt) where x and y are in meters and t is in seconds. (a) How many half-wavelengths does this pattern exhibit? 4 half-wavelength(s) (b) What is the fundamental frequency of vibration of the wire (in Hz)? 45 X Hz (c) If the original frequency is held constant and the tension in the wire is increased by a factor of 16, how many half-wavelengths are present in the new pattern? 1 half-wavelength(s)
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Transcribed Image Text:The wave function associated with standing waves established in a 4.00 m long wire is
y = 0.01600 sin(x)cos(90πt)
where x and y are in meters and t is in seconds.
(a) How many half-wavelengths does this pattern exhibit?
4
half-wavelength(s)
(b) What is the fundamental frequency of vibration of the wire (in Hz)?
45
X Hz
(c) If the original frequency is held constant and the tension in the wire is increased by a factor of 16, how many half-wavelengths are present in the new pattern?
1
half-wavelength(s)
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