Answer:
450.78Hz
Explanation:
The frequency of wave in string is directly proportional to its tension. This is mathematically expressed as
F∝T
F = kT where k is the constant of proportionality
From the formula, k = F/T
F1/T1 = F2/T2 = k
If each violin is perfectly tuned at 440 Hz and under 245 N of tension then F1 = 440Hz, T1 = 245N
To get the frequency if the string A is tighten to 251N of tension,
T2 = 251N, F2 =?
Substituting the given values into the equation above to get F2 we have;
440/245 = F2/251
Cross multiplying
245F2 = 440×251
245F2 = 110,440
F2 = 110,440/245
F2 = 450.78Hz
