Question

QUESTION 15 A sinusoidal wave has the equation shown below, with x and y in meters and t in seconds. y = 0.015 Sin [8.055 x - 2674.6 t + 0.20 a) What is the frequency of the wave? b) What is the wavelength of the wave? c) What is the speed of the wave?

Answer 1

question 15 => The sinusoidal wave equation is given by y = 0.015 Sin [8.055 * - 267467 +0.20) -- we know that, y = = A sin [Kn-wt+c] - tii) Compairing (i) and (ii) we get, k=8.055 and w=267 4.6 we know W=2118 2n :: Frequency of wave 8 = 2674.6 = 425.676 HZ 27 we know a = b) K= 27 wavelength of wave a= 2 11 K 211 8.055 = 0.78 m v=8.2 c) we know that Speed of wave V = 425.676 X 0.78 = 332.042 m/s