1/ Two strings made of the same material are subjected to the same tension (therefore the...

1/ Two strings made of the same material are subjected to the same tension (therefore the speed of sound will be the same in the two strings) but have different lengths. The first rope, A, is 80 cm long and the second, B, is 60 cm long. They are vibrated at various frequencies to produce standing waves.

Consider the first six partials of the two strings and determine which of the partials of string A will have the same frequency as one of the partials of string B.

Solutions

Expert Solution

Here,
Length of string A
Length of string B
Speed of sound by string A
Speed of sound by string B

The fundamental frequency in string A:

Six partial frequencies of string A:

The fundamental frequency in string B:

Six partial frequencies of string B:

From the above calculation, we can see that only one partial has the same frequency from both strings. Frequency of string A and frequency of string B are the same.

genius_generous answered 1 year ago

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