The displacement of a transvers wave travelling on a string is represented by D1 = 4.2sin(0.84.x - 47t + 21) where D1 and x are in cm and t in s.Find an equation that represents a wave which, when traveling in the opposite direction, will produce a standing wave when added to this one

Respuesta :

Answer:

The equation for such type of wave is  [tex]D_2 = sin(0.84.x + 47t + 21)[/tex]

Explanation:

From the question we are told that

   The displacement is [tex]D_1 = 4.2sin(0.84.x - 47t + 21)[/tex]

   Here  the wave number is  k=  0.84

              The angular frequency is  [tex]w = 47[/tex]

              The phase shift is  [tex]\phi = 21[/tex]

 Generally the equation that represents a wave which, when traveling in the opposite direction, will produce a standing wave when added to this one is mathematically represented as

             [tex]D_2 = sin(0.84.x + 47t + 21)[/tex]