Question

Two traveling sinusoidal waves are described by equations: y_1 = 3.00 [sin pi(2.00x - 1500t)] y_2 = 2.00 [sin pi (2.00x - 1500t - 500)] What is the amplitude of the resultant wave function? y_1 + y_2 What is the frequency of the resultant wave function?

Answer 1

$y_{1}= 3.00[\sin (2.00x-1500t)]$

and   $y_{2}= 2.00[\sin (2.00x-1500t-0.500)]$

$y= y_{1}+y_{2} = A'\sin (2.00x-\theta )$

Where $A' = \sqrt{3^{2}+2^{2}+2\times 3\times 2\cos (0.500)} = \sqrt{3^{2}+2^{2}+2\times 3\times 2\times 0.8775}$

Part B frequency of the resultant wave function will be zero