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: C
Explanation
The general wave equation is given by; y = A Sin(wt - 2âˆx/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
