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Physics Question- Waves, fundamental frequency, harmonic frequency, etc.? 1. A p

ID: 1315459 • Letter: P

Question

Physics Question- Waves, fundamental frequency, harmonic frequency, etc.?

1.   A piece of wire of length 20.0m is tied horizontally between two posts. The tension in the wire is determined to be 300N. The mass of the wire is 0.500kg.
a)   determine the fundamental frequency of standing waves set up on this wire
b)   determine the position of the 3rd node from the left end position for the standing wave associated with the 8th harmonic frequency.
  

Two waves identical in speed, frequency amplitude and wavelength, but differing in phase by +?/3 radians interfere in a region in space, where x is in cm and t is in sec. The waves are described by the functions below.

y1 = 30.0cm sin(20.0x

Explanation / Answer

part a)

fundamental frequency

F=(T/(m/L))1/2

part b)

in 8th harmonic frequency, number of nodes are 8

so 3 node fom end, is equal to 5 fom front

its position is (L/16)5=5L/16