Answer:
The amplitude = 0.5 m
The wavelength = 5 m
The frequency = 12 Hz
Step-by-step explanation:
The given wave function is:
y=0.5sin 0.4π(x-60t)
This can be rewritten as:
y=0.5sin (0.4πx-24πt)................(1)
Comparing the equation above with the general wave function:
y = A sin(kx - wt).................(2)
where A represents the amplitude
k represents the wave number
w represents the angular frequency
By comparing equations (1) and (2):
the amplitude, A = 0.5 m
k = 0.4π
Also k = 2π/λ
0.4π = 2π/λ
λ = 2π/0.4π
λ = 5 m
The wavelength = 5 m
w = 24π
Also, w = 2πf
Therefore, 2πf = 24π
f = 24π/2π
f = 12 Hz
The frequency = 12 Hz