Two identical waves moving in opposite directions on a strin

Two identical waves moving in opposite directions on a string interfere and give a standing wave whose amplitude is 1 cm, the distance between consecutive nodes is 8 cm, and the time it takes a particle on the string to move from one extreme of the anti-node to the other is 5 ms, IF one of the waves is given by:

y(x,t) = A*sin(kx+wt).

a. calculate the wave vector k

b. the amplitude A

c. the angular frequency, w

Solution

We know, node= n/2, where n= 0, 1, 2…

Therefore, distance between 2 consecutive nodes= /2= 8 cm

Thus, = 8 x 2= 16 cm.

Now, k= 2 x Pi/

             = 2 x 3.14/ 16

             = 0.392