Answer:
Frequency of the wave is 3.8 hertz.
Step-by-step explanation:
It is given that, the sinusoidal wave has following wave equation as :
![y(x,t)=(2.5\ m)sin[(3\ m^(-1))x-(24\ s^(-1))t+\pi/2]](https://img.qammunity.org/2020/formulas/physics/college/16eknlm4zwecbdij64jvdmwi6v1koqiu2n.png)
The general equation for the sinusoidal wave is :

Where
A is the amplitude
k is the constant
is the angular frequency
is the phase difference
Since,



or
f = 3.8 Hz
So, the frequency of the wave is 3.8 hertz. Hence, this is the required solution.