ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements.
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The fundamental frequency of vibration of a string is given by
where
L is the length of the string
T is the tension
is the linear mass density, where m is the mass of the string
Let's start by calculating the mass density of the piano wire in the problem. Its mass is
and its length is L=0.600 m, so its mass density is
Therefore now we have everything to calculate the fundamental frequency of the piano wire. Using T=440 N and the first equation, we find:
where
L is the length of the string
T is the tension
Let's start by calculating the mass density of the piano wire in the problem. Its mass is
and its length is L=0.600 m, so its mass density is
Therefore now we have everything to calculate the fundamental frequency of the piano wire. Using T=440 N and the first equation, we find: