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Part A What is the maximum value of the string\'s displacement at a position 0.5

ID: 1290931 • Letter: P

Question

Part A

What is the maximum value of the string's displacement at a position 0.500m from the lower end of the string if the maximum resultant displacement of the wave is 0.75mm ?

Express your answer with the appropriate units.

fmax=

You pluck a guitar string so as to produce a standing wave for which lambda = 1.3 m. Part A What is the maximum value of the string's displacement at a position 0.500m from the lower end of the string if the maximum resultant displacement of the wave is 0.75mm ? Express your answer with the appropriate units. F max=

Explanation / Answer

K = 2*pi/lambda = (2*3.14)/1.3 = 4.83

f = Amax*sinkx * sinwt


fmax = Amax*sinkx


fmax = 0.75*sin(4.83*0.5) = 0.75*0.664 = 0.498 mm