Answer:
The tension in the string is 78.73 N.
Explanation:
The tension in the string can be determined from the expression;
v = [tex]\sqrt{\frac{T}{m} }[/tex]
where: v is the speed of the wave in the sting, T is the tension in the string and m is the mass per unit length of the sting.
Given that: v = 16.2 m/s, and m = 0.3 kg/m.
Then;
16.2 = [tex]\sqrt{\frac{T}{0.3} }[/tex]
Square both sides to have,
[tex](16.2)^{2}[/tex] = [tex]\frac{T}{0.3}[/tex]
T = [tex](16.2)^{2}[/tex] x 0.3
= 252.44 x 0.3
= 78.732
T = 78.732 N
The tension in the string is 78.73 N.
