The a-string (440 hzhz) on a piano is 38.9 cmcm long and is clamped tightly at both ends. if the string tension is 667n, what's its mass?

Mass, m = 2.2 kg                                

Explanation:

It is given that,

Frequency of the piano, f = 440 Hz

Length of the piano, L = 38.9 cm = 0.389 m

Tension in the spring, T = 667 N

The frequency in the spring is given by :

is the linear mass density

On rearranging, we get the value of m as follows :

m = 0.0022 kg

or

m = 2.2 grams

So, the mass of the object is 2.2 grams. Hence, this is the required solution.