Answer:
2.61m/s
Explanation:
Given the wave function;
y(x,t)=0.87 sin(21x−4.9t).
The general wave equation is expressed as;
[tex]y = Asin(2\pi ft + 2\pi x /\lambda)[/tex]
f is the frequency of the wave
t is the time
[tex]\lambda\\[/tex] is the wavelength
On comparing;
2πft = 4.9t
2πf= 4.9
f = 4.9/2π
f = 4.9/2(3.14)
f = 4.9/6.28
f = 0.78Hz
Get the wavelength;
2πx/[tex]\lambda[/tex] = 21x
2π/[tex]\lambda[/tex] = 21
2π = 21[tex]\lambda[/tex]
[tex]\lambda[/tex] = 21/2π
[tex]\lambda[/tex] = 21/2(3.14)
[tex]\lambda[/tex] = 21/6.28
[tex]\lambda[/tex] = 3.34m
Speed = frequency * wavelength
Speed of the wave = 0.78 * 3.34
Speed of the wave = 2.61m/s
Hence the speed of the wave is 2.61m/s
