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

Physics
JAMB 1999

The equation of a wave traveling 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
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Correct Answer: Option C
Explanation

The general wave equation is given by;
y = A Sin(wt - 2πx/Wavelength)
where w = angular velocity

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 velocity(w) = 500 (the coefficient of t in both equations)
∴ w = 500 rad s-1
= 5.00 x 102rad s-1


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