Answer:
a
[tex]\lambda = 1.18 \ m[/tex]
b
[tex]v = 77.172 \ m/s[/tex]
c
[tex]T = 151.41 \ N[/tex]
Explanation:
From the question we are told that
The frequency is [tex]f = 65.4 \ Hz[/tex]
The length of the vibrating string is [tex]L = 0.590 \ m[/tex]
The mass is [tex]m = 15.0 \ g = 0.015 \ kg[/tex]
Generally the wavelength is mathematically represented as
[tex]\lambda = 2 * L[/tex]
=> [tex]\lambda = 2 * 0.590[/tex]
=> [tex]\lambda = 1.18 \ m[/tex]
Generally the wave speed is
[tex]v = \lambda * f[/tex]
=> [tex]v = 1.18 * 65.4[/tex]
=> [tex]v = 77.172 \ m/s[/tex]
Generally the tension on the wire is mathematically represented as
[tex]T = v^2 * \frac{ m }{L }[/tex]
=> [tex]T = 77.172 ^2 * \frac{ 0.015 }{0.590}[/tex]
=> [tex]T = 151.41 \ N[/tex]
