Given that the function of the wave is f(x) = cos(π•t/2), we have;
a. The graph of the function is attached
b. 4 units of time
c. Even
d. 4.935 J/kg
e. 1.234 W/kg
How can the factors of the wave be found?
a. Please find attached the graph of the signal created with GeoGebra
b. The period of the signal, T = 2•π/(π/2) = 4
c. The signal is even, given that it is symmetrical about the y-axis
d. The energy of the signal is given by the formula;
[tex] \frac{1}{2} \cdot \mu^{2} \cdot \omega ^{2} \cdot \: {a}^{2} \times \lambda[/tex]
Which gives;
E = 0.5 × 1.571² × 1² × 4 = 4.935 J/kg
e. The power of the wave is given by the formula;
E = 0.5 × 1.571² × 1² × 4 × 0.25 = 1.234 W/kg
Learn more about waves here:
https://brainly.com/question/14015797
