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First putting the value of x and t in sinusoidal waves. Then calculate final y
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two sinusoidal waves traveling along a string, modeled as yi(x, t) . (0.2 m)srt2 m-1)s +...
please type if possible. If not PLEASE make readable! 7. Consider two sinusoidal sine waves traveling...
please type if possible. If not PLEASE make readable!
7. Consider two sinusoidal sine waves traveling along a string, modeled as y(x,t) = (0.40 cm) sin (3m-1 2s-1t) and y(x, t) = (0.40 cm)sin(3m-1 - 2s-1t+5 a) What is the height of the resultant wave formed by the interference of the two waves at the position x 1.0 m at time t = 3.0 s? b) A 2-m long string is stretched between two supports with a tension that produces...
a) Two traveling waves are given by the expressions, yi(x,t) = 5.0cos(0.15x – 6.0t) and y2(x,...
a) Two traveling waves are given by the expressions, yi(x,t) = 5.0cos(0.15x – 6.0t) and y2(x, t) = 5.0cos(0.15x – 6.0t + 1/4) What type of interference results when these waves are added together? Explain. b) Determine an expression for the superposition of these two waves. c) When these two waves are out of phase by a rad, what type of interference results? d) What type of wave does the summation of these two waves now represent? e) By how...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 =...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x −...
Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x − 1125t)] y2 = 4.80 sin [π(4.10x − 1125t − 0.250)] where x, y1, and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2?
Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following...
Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following wave function, where x is in meters and t is in seconds. y = (3.00 m) sin(0.200x) cos(2006) Determine the wavelength of the interfering waves. What is the frequency of the interfering waves? Hz Find the speed of the interfering waves. m/s Two sinusoidal waves combining in a medium are described by the following wave functions, where x is in centimeters and t is...
At time t = 0 and at position x = 0 m along a string, a traveling sinusoidal wave with an angular...
At time t = 0 and at position x = 0 m along a string, a traveling sinusoidal wave with an angular frequency of 450 rad/s has displacement y = +4.4 mm and transverse velocity u = -0.71m/s. If the wave has the general form y(x, t) = ym sin(kx - ωt + φ), what is phase constant φ?
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown twice in the figure at time t = 0 (top) and time t = 4t (bottom). After At = 4.0 ms, the crest travels d=6.0 cm in the positive x direction. The equation for the wave is in the form 8 mm H HHHx y(x, t) =Ym sin(kx = wt). t = 4 ms What are (i) ym, (ii)k, (iii) w, and (iv) the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by yi (27.0 mm)sin(7.35nt 1.95nx) and y2 (34.0 mm)sin(2.88nt+0.488nx). Note that the phase angles (7.35nt 1.95nx) and (2.88nt+0.488nx) are in radians, t is in seconds, and x is in meters. At t = 3.10 s, what is the net displacement (in mm) of the string at (a) x- 2.26 m and (b) x- 2.67 m? Be sure to include the...
Three sinusoidal waves of the same frequency travel along a string in the positive direction of...
Three sinusoidal waves of the same frequency travel along a string in the positive direction of an x axis. Their amplitudes are A, A/2, and A/3, and their phase constants are 0,T/2 and . Find: a. the amplitude and b. the phase constant of the resultant wave c. Plot the wave form of the resultant wave at t 0 and discuss its behavior as t increases.
A sinusoidal transverse wave is traveling along a string in the negative direction of an x...
A sinusoidal transverse wave is traveling along a string in the
negative direction of an x axis. The figure below shows a
plot of the displacement as a function of position at time
t = 0. The x axis is marked in increments of 10
cm and the y axis is marked in increments of 2 cm. The
string tension is 3.1 N, and its linear density is 34 g/m.
(a) Find the amplitude.
m
(b) Find the wavelength.
m...
please type if possible. If not PLEASE make readable!
7. Consider two sinusoidal sine waves traveling along a string, modeled as y(x,t) = (0.40 cm) sin (3m-1 2s-1t) and y(x, t) = (0.40 cm)sin(3m-1 - 2s-1t+5 a) What is the height of the resultant wave formed by the interference of the two waves at the position x 1.0 m at time t = 3.0 s? b) A 2-m long string is stretched between two supports with a tension that produces...
a) Two traveling waves are given by the expressions, yi(x,t) = 5.0cos(0.15x – 6.0t) and y2(x, t) = 5.0cos(0.15x – 6.0t + 1/4) What type of interference results when these waves are added together? Explain. b) Determine an expression for the superposition of these two waves. c) When these two waves are out of phase by a rad, what type of interference results? d) What type of wave does the summation of these two waves now represent? e) By how...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following wave function, where x is in meters and t is in seconds. y = (3.00 m) sin(0.200x) cos(2006) Determine the wavelength of the interfering waves. What is the frequency of the interfering waves? Hz Find the speed of the interfering waves. m/s Two sinusoidal waves combining in a medium are described by the following wave functions, where x is in centimeters and t is...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown twice in the figure at time t = 0 (top) and time t = 4t (bottom). After At = 4.0 ms, the crest travels d=6.0 cm in the positive x direction. The equation for the wave is in the form 8 mm H HHHx y(x, t) =Ym sin(kx = wt). t = 4 ms What are (i) ym, (ii)k, (iii) w, and (iv) the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by yi (27.0 mm)sin(7.35nt 1.95nx) and y2 (34.0 mm)sin(2.88nt+0.488nx). Note that the phase angles (7.35nt 1.95nx) and (2.88nt+0.488nx) are in radians, t is in seconds, and x is in meters. At t = 3.10 s, what is the net displacement (in mm) of the string at (a) x- 2.26 m and (b) x- 2.67 m? Be sure to include the...
Three sinusoidal waves of the same frequency travel along a string in the positive direction of an x axis. Their amplitudes are A, A/2, and A/3, and their phase constants are 0,T/2 and . Find: a. the amplitude and b. the phase constant of the resultant wave c. Plot the wave form of the resultant wave at t 0 and discuss its behavior as t increases.
A sinusoidal transverse wave is traveling along a string in the
negative direction of an x axis. The figure below shows a
plot of the displacement as a function of position at time
t = 0. The x axis is marked in increments of 10
cm and the y axis is marked in increments of 2 cm. The
string tension is 3.1 N, and its linear density is 34 g/m.
(a) Find the amplitude.
m
(b) Find the wavelength.
m...
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