Answer:
f1 = 12.90 Hz
Explanation:
To calculate the first harmonic frequency you use the following formula for n = 1:
[tex]f_n=\frac{n}{2L}\sqrt{\frac{T}{M/L}}[/tex]
[tex]f_1=\frac{1}{2L}\sqrt{\frac{T}{M/L}}[/tex] ( 1 )
It is necessary that the unist are in meters, then you have:
L: length of the string = 60cm = 0.6m
M: mass of the string = 0.05kg
T: tension on the string = 20 N
you replace the values of L, M and T in the expression (1) for getting f1:
[tex]f_1=\frac{1}{2(0.6m)}\sqrt{\frac{20N}{0.05kg/0.6m}}=12.90\ Hz[/tex]
Hence, the first harmonic has a frequency of 12.90 Hz
