Question

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?

Answer 1

Answer:

The value is  $T = 288 \ N$

Explanation:

From the question we are told that

    The length of the guitar string considered is  $L = 1.2 \ m$

     The mass is $m = 0.006 \ kg$

Generally the tension is mathematically represented as

       $T = 4f ^2 m* L$

Here f is the frequency of the $A_2$ note which is  $f= 110 \ Hz$

So

     $T = 4* 110 ^2 * 0.006* 1.2$

=>  $T = 288 \ N$