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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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Step 1: Identification of physical quantities in question
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Step 2: Introducing the concept and explanation of half wavelength
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Step 3: Calculation for fundamental frequency
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Step 4: Calculation for new number of half wavelengths
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