Respuesta :
Answer:
720 N
Explanation:
Most of these answers on here are wrong but I just tool the test ! This is the right answer!
The tension in the wire is 720N
The equation for calculating the wavelength of a standing wave in a string tied at both ends:
λ=2L/n
where L is the distance of the tied ends and n is the mode of vibration.
The string is tied at both ends at a distance L= 100cm = 1m. So there will be nodes at both ends. Also the wire is vibrating with fundamental frequency, n =1.
λ = 2×1/1 = 2m
now the relation between velocity (v) of the wave and Tension(T) in string is:
[tex]v=\sqrt[]{\frac{T}{u} }[/tex]
⇒ [tex]T=v^{2}u[/tex]
here μ is mass density of string that is 50g/1m = 5×[tex]10^{-2}kg/m[/tex]
and velocity, v = λν (here ν is the given frequency = 60Hz)
⇒ v = 2×60 = 120 m/s
hence,
T = 120×120×5×[tex]10^{-2}[/tex] N
T = 720 N
Learn more about standing waves:
https://brainly.com/question/16375282