1. The problem statement, all variables and given/known data An incident wave frequency f =500Hz , power Wi = 50 W and amplitude Ai= 5 mm spreads to the positive x in a linear density rope u1 unknown. When the wave encounters another rope ( attached to the first at a point P) density linear u2= 64 g/m (such as u2>u1 ) , The transmitted wave has a power Wt = 32 Watts. a) Determine u1, and the value of the impedance Z1 and Z2. 2. Relevant equations 3. The attempt at a solution 64g/m = 0.064kg/m 5 mm = 0.005 m T = Wt/Wi T= 32/50 T = 0.64 R + T = 1 => R + 0.64 = 1 R = 0.36 R = r2 0.36 = r2 r = 0.6 Ar = r*Ai Ar = 0.6 * 0.005 Ar = 0.003 sqrt(u1)/sqrt(u2) = (Ai + Ar)/ (Ai - Ar) sqrt(u1)/sqrt(0.064) = (0.005 + 0.003)/ (0.005 - 0.003) u1 = 0.1024 Something is wrong and I cant figure it out, I know its wrong because it says u2 has to be bigger than u1, and my answer of u1 is bigger than u2. thanks.