Answer to Question #109991 in Mechanical Engineering for Jason

Question #109991
Two guitar strings of the same known length L, and same known linear mass density mu vibrate at their common fundamental frequency of f1 Hz. you would like to know the frequency, f1, of the note you hear, but you don't have perfect pitch. Undeterred, you decide to use physics to find it. Both strings originally have some unknown T. You can increase the tension of one of the strings such that you known its tension is exactly 10% greater than that for the other one. Use your knowledge of interference and beats to find the orignally frequency, f1, in terms of the number of beats per second that you hear, n
1
Expert's answer
2020-04-22T09:22:10-0400

Here it is given that two guitar having same length

and it has also the same linear mass density

so we can write as

, we know that the frequency of the guitar note


as per the question if tension is increased by 10% then new tension become


T1= T+0.1T=1.1 T


Now frequency will become



Beat frequncy





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