The equation of wave is given by Y = 10 - 2 sin 2 π 160 t - 0 . 5 x + π 4 , where x and Y are in m and t in s . The speed of the wave is _______ km h - 1 .

Step-by-step solution

The equation of the wave is Y = 10 - 2 sin 2 π ( 160 t - 0 . 5 x + π 4 ) The velocity of a wave is given by v = ω k       . . . ( i ) . A wave equation is given by Y = A sin ω t - k x + ϕ Using equation (i), v = 2 π × 160 2 π × 0 .5 = 320   m   s - 1 ⇒ v = 320 × 18 5 ⇒ v = 1152   km   h - 1