Answer:
L=2.77 m
Explanation:
Given that
y(x,t)=(5.89 cm) sin[(0.0340 rad/cm)x] sin[(50.4 rad/s)t]
As we know that standard form of wave equation
y = 2A sin kx sin ωt
By comparing the above both equation
2 A = 5.89 cm
A= 2.945 cm
k=0.0340 x 100 m⁻¹= 3.4 rad/m
ω=54.4 rad/s
wavelength given as
λ=2π /k
By putting the values
λ=2 x 3.14 /3.4 = 1.84 m
The length L given as
[tex]\lambda _n=\dfrac{2L}{n}[/tex]
Here n = 3
[tex]1.84=\dfrac{2L}{3}[/tex]
L=2.77 m
