The equation of a wave travelling along the positive x-direction is given by; y =…

The equation of a wave travelling along the positive x-direction is given by;
y = 0.25 x 10-3 sin (500t – 0.025x).
Determine the angular frequency of the wave motion.
  • A.
    0.25 x 10-3rad s-1
  • B.
    0.25 x 10-1rad s-1
  • C.
    5.00 x 102rad s-1
  • D.
    2.50 x 103rad s-1
Correct Answer: Option C
Explanation

The general wave equation is given by;
y = A Sin(wt – 2∏x/Wavelenght)
where w = angular frequency
Thus comparing this equation with the equation
y = 0.25 x 10-3 Sin (500t – 0.025x)
That Amplitude = 0.25 x 10-3m
the angular frequency w = 500 (the coefficient of t in both equations)
∴ w = 500 rad s-1
= 5.00 x 102rad s-1

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