Question

Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing a net wave y´(x, t) = (1.90 mm) sin(22.0x - 6.80t + 0.940 rad), with x in meters and t in seconds. What are (a) the wavelength λ of the two waves, (b) the phase difference between them, and (c) their amplitude ym?

Answer #1

Two sinusoidal waves, identical except for phase, travel in the
same direction along a string, producing a net wave y´(x, t) =
(4.10 mm) sin(49.0x - 3.00t + 0.850 rad), with x in meters and t in
seconds. What are (a) the wavelength λ of the two waves, (b) the
phase difference between them, and (c) their amplitude ym?
I need b and c. and the answers ARE NOT 0.85 rad 0.0041 m. But I
DO need the answer in...

2. Two identical sinusoidal waves of amplitude 1 meter travel
along a string in the same direction. What is the phase difference
between the two waves if the resulting wave has an amplitude of 1.6
meters?

These two waves travel along the same string: y1 = (4.17 mm)
sin(2.24?x - 300?t), y2 = (5.96 mm) sin(2.24?x - 300?t +
0.727?rad). What are (a) the amplitude and (b) the phase angle
(relative to wave 1) of the resultant wave? (c) If a third wave of
amplitude 5.20 mm is also to be sent along the string in the same
direction as the first two waves, what should be its phase angle in
order to maximize the amplitude...

These two waves travel along the same string:
y1 = (4.57 mm)
sin(2.24πx - 320πt)
y2 = (5.81 mm)
sin(2.24πx - 320πt +
0.800π rad).
What are (a) the amplitude and
(b) the phase angle (relative to wave 1) of the
resultant wave? (c) If a third wave of amplitude
4.93 mm is also to be sent along the string in the same direction
as the first two waves, what should be its phase angle in order to
maximize the...

These two waves travel along the same string: y1 = (4.37 mm)
sin(2.17πx - 440πt) y2 = (5.75 mm) sin(2.17πx - 440πt +
0.754πrad).
What are (a) the amplitude and
(b) the phase angle (relative to wave 1) of the
resultant wave? (c) If a third wave of amplitude
5.45 mm is also to be sent along the string in the same direction
as the first two waves, what should be its phase angle in order to
maximize the amplitude...

These two waves travel along the same string:
y1 = (3.59 mm) sin(2.23πx
- 380πt)
y2 = (5.61 mm) sin(2.23πx
- 380πt + 0.861πrad).
What are (a) the amplitude and
(b) the phase angle (relative to wave 1) of the
resultant wave? (c) If a third wave of amplitude
5.21 mm is also to be sent along the string in the same direction
as the first two waves, what should be its phase angle in order to
maximize the amplitude...

These two waves travel along the same string:
y1 = (4.14 mm) sin(2.31πx
- 430πt)
y2 = (5.79 mm) sin(2.31πx
- 430πt + 0.771πrad).
What are (a) the amplitude and
(b) the phase angle (relative to wave 1) of the
resultant wave? (c) If a third wave of amplitude
5.24 mm is also to be sent along the string in the same direction
as the first two waves, what should be its phase angle in order to
maximize the amplitude...

These two waves travel along the same string:
y1 =
(3.73 mm) sin(1.60πx -
340πt)
y2 =
(5.39 mm) sin(1.60πx - 340πt +
0.867πrad).
What are (a) the amplitude and
(b) the phase angle (relative to wave 1) of the
resultant wave? (c) If a third wave of amplitude
4.89 mm is also to be sent along the string in the same direction
as the first two waves, what should be its phase angle in order to
maximize the amplitude...

Two sinusoidal waves of the same frequency are to be sent in the
same direction along a taut string. One wave has an amplitude of
6.7 mm, the other 10.2 mm. (a) What phase
difference φ1 between the two waves results in
the smallest amplitude of the resultant wave? (b)
What is that smallest amplitude? (c) What phase
difference φ2 results in the largest amplitude
of the resultant wave? (d) What is that largest
amplitude? (e) What is the resultant...

Two sinusoidal waves of the same frequency are to be sent in the
same direction along a taut string. One wave has an amplitude of
6.2 mm, the other 8.5 mm. (a) What phase
difference φ1 between the two waves results in
the smallest amplitude of the resultant wave? (b)
What is that smallest amplitude? (c) What phase
difference φ2 results in the largest amplitude
of the resultant wave? (d) What is that largest
amplitude? (e) What is the resultant...

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