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You are trying to tune the fifth string on your guitar, which is supposed to sound the A2 note (i.e., a note two octaves below A4). If the part of your guitar string in between where it is held down is 1.2 m and it has a mass of 0.006 kg, how much tension should you put the string under to get the right tuning?

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okpalawalter8

Answer:

The value is  [tex]T = 288 \ N[/tex]

Explanation:

From the question we are told that

    The length of the guitar string considered is  [tex]L = 1.2 \ m[/tex]

     The mass is [tex]m = 0.006 \ kg[/tex]

Generally the tension is mathematically represented as

       [tex]T = 4f ^2 m* L[/tex]

Here f is the frequency of the [tex]A_2[/tex] note which is  [tex]f= 110 \ Hz[/tex]

So

     [tex]T = 4* 110 ^2 * 0.006* 1.2[/tex]

=>  [tex]T = 288 \ N[/tex]

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