Answer :
Answer:
3.82 Hertz
Explanation:
[tex]y = 2.5 Sin\left (3x-24t+\frac{\pi }{2} \right )[/tex]
This is the equation of a wave which varies sinusoidally.
The standard equation of a wave is given by
[tex]y = A Sin\left ( kx-\omega t+\phi \right )[/tex]
where, A be the amplitude of the wave, k be the wave number, x be the displacement of wave, ω be the angular frequency and t be the time taken, and Ф be the phase angle.
now compare the given equation by the standard equation, we get
k = 3
ω = 24
Ф = π / 2
So, the angular frequency = 24
The relation between the angular frequency and the frequency is given by
ω = 2 x π x f
24 = 2 x 3.14 x f
f = 3.82 Hertz