Question

If two waves ( Y1 and Y2 ) move in the same direction and superimpose with each other
to create a resultant wave, A) calculate the amplitude of the resultant wave at x = 10 m.
Consider: Y1 = 7 sin (2x - 3πt + π/3) and Y2 = 7 sin (2x + 3πt) (2)
B) Calculate the velocity of the resultant wave (do not consider velocity in X direction)
(2)
C) What would happen to the amplitude of resultant wave if those waves are in phase
with each other?

Answer 1

Answer:

y

1

=5sin(wt+kx)

y

2

=5cos(wt+kx+150

∘

)

y=y

1

+y

2

where y is the resultant wave

The amplitude of this resultant wave is given by the formula:

A=

(A

1

)

2

+(A

2

)

2

+2A

1

A

2

cosϕ

Here;

A

1

=5

A

2

=5

ϕ=150

∘

on substituting the values on the given formula:

A=

(5)

2

+(5)

2

+2×5×5×cos150

∘

=

25+25−2×25×

2

1