Question

84 Sinusoidal waves A snapshot of a segment of a wave on a string at a particular instant is illustrated. The distances are measured in meters. 2 4 32 12 3 456 a) The portion of the wave at A takes 0.0050s to complete one cycle. Determine t frequency of the wave. b) Determine the wavelength and speed of the wave. c) Determine how long it will take the crest labeled B to reach the point C. d) Using the graph above, sketch the wave at an instant 0.0025s after that illustra above

Answer 1

Given Time period (T) = 0.0056 frequency = 1/T = 1/0.005 = 200 h_2 w = 2 pi f = 200 times 2 pi = [400 pi] s^-1 wavelength = lambda = distance between succession thought = 400 m velocity = w/k = 2 pi f/2n/lambda [v = 4 times 200 = 300 m/s] here delta x = 5 - 2 = 3m so t = delta x/V = 3/800 [t = 3.75 times 10^-3 s] delta t at instant of 0.0025 s the particle motion is perpendicular to motor of wave