A transverse harmonic wave on a string is given by y x , t = 5 sin 6 t + 0 . 003 x where x and y are in cm and t in sec . The wave velocity is _________ m s - 1 .

Step-by-step solution

The general equation for a wave can be written as y = A sin ω t + k x . Comparing it with the given equation, y = 5   sin 6 t + 0 . 003 x , ω = 6   rad   s - 1 , k = 0 . 003   cm - 1 Using the equation, v = ω k v = 6 0 . 003 × 10 2 = 20   m   s - 1