Question

(1 point) Spooky Sounds. A combination work of art/musical instrument is illustrated. A piano wire is cut into 6 pieces of differing lengths and hung from the same support, and masses are hung from the free end of each wire. Each wire is 1, 2, 3, or 4 units long, as indicated by the axis on the left side of the diagram, and each supports 1, 2, or 4 units of mass (each blue box is one unit of mass). The mass of each wire is negligible compared to the total mass hanging from it. When a strong breeze blows, the wires vibrate and create an eerie sound. Enter your answers below using ">" to denote that a particular wire has a greater value. Use "=" if two wires are tied. For example, if A, B, and C were tied for the greatest value, then D and E, then F, you would enter A = B = C >D = E > F in the answer box. a. Rank the fundamental wavelength of each wire in order from greatest to least. Order of the wavelength = b. Rank the wave speed on each wire in order from greatest to least. Order of the wave speed = c. Rank the fundamental frequency of each wire in order from greatest to least. Order of the frequency =

Answer 1

(A)

For fundamental wavelength ,

= 21

Therefore order of wavelength is B=E>F>A=C>D

(B)

Wave sped V-

Therefore order of speed is B>A>C=E>F>D

(C)

Wave speed Fundamental frequency = = 21

A = 2

B = 2

C = 1

D = 0.5

E = 0.5

F = 0.5

Therefore order of fundamental frequency is A=B>C>D=E=F