Answer:
T = 6051.70 N
Explanation:
Given;
Frequency, f = 42 Hz
Length of the string, L = 543 m
Mass of the string, m = 47.2 kg
Now,
the frequency is given as:
[tex]f = \frac{1}{2\pi}\sqrt\frac{T}{M}[/tex]
where, T is the tension in the string
M is the mass per unit length = m/L = 47.2/543 = 0.0869
on substituting the values in the above equation, we get
[tex]42 = \frac{1}{2\pi}\sqrt\frac{T}{0.086}[/tex]
or
[tex]({42}\times{2\pi})^2 = \frac{T}{0.0869}[/tex]
or
T = 6051.70 N
