Final naïve case: If the highest-pitch string on the piano is made of spring steel (density = 7800 kg/m3) with a diameter of 1/32" (= 0.794 mm), what will the linear density of such a string be (in kg/m)?

The linear density is  

Explanation:

From the question we are told that

     The density of  steel is  

      The diameter of the string is  

       The  radius of  the string is  evaluated as  

The volume of the string is  mathematically evaluated as

Now assuming that the length of the string is  L = 2 m  

      So  

Then the mass of the string would be  

substituting value  

Looking at the question we see that the unit of the linear density is  

Hence the linear density is evaluated as

substituting value  

33: i think it’s b