Answer :
Answer:
Frequency of the wave is 3.8 hertz.
Explanation:
It is given that, the sinusoidal wave has following wave equation as :
[tex]y(x,t)=(2.5\ m)sin[(3\ m^{-1})x-(24\ s^{-1})t+\pi/2][/tex]
The general equation for the sinusoidal wave is :
[tex]y=A\ sin(kx-\omega t+\phi)[/tex]
Where
A is the amplitude
k is the constant
[tex]\omega[/tex] is the angular frequency
[tex]\phi[/tex] is the phase difference
Since, [tex]\omega=24\ s^{-1}[/tex]
[tex]2\pi f=24[/tex]
[tex]f=\dfrac{24}{2\pi}=3.81\ Hz[/tex]
or
f = 3.8 Hz
So, the frequency of the wave is 3.8 hertz. Hence, this is the required solution.