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y1 = 2sin(3x – 2t) & y2 = 3sin(3x – 2t + π/4). Find the expression for resultant displacement caused by superposition of the two waves.
a) 3.6sin(2x-3t+3π/7)
b) 4.63sin(3x-2t+3π/5)
c) 3.6cos(3x-2t+3π/7)
d) 4.63cos(3x-2t+3π/5)
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- 21.22 m/s Two identical sinusoidal waves with wavelengths of 2 m travel in the same direction with the same speed. The two waves start at the same instant, to1 = t9z 0 sec, but they differ by path difference. Wave-1 travels a distance x, to get to some observation point, while wave-2 travels a distance x, If the path difference, Ar- x,X, between the two waves is 2 m, then the phase difference between the interfering waves is: 3 rad O TU2 rad n rad 2п гad Back Next Page 2 of3.7 Two sinusoidal waves in a string are defined by the wave functions Y₁ = 2.20 sin (17.0x - 35.0t) Y₂ = 2.20 sin (29.0x - 45.0t) where x, y₁, and y₂ are in centimeters and it is in seconds. (a) What is the phase difference between these two waves at the point x = 5.00 cm at t = 2.00 s? (Your answer should be between 0° and 360°.) (b) What is the positive x value closest to the origin for which the two phases differ by ± at t = 2.00 s? (At that location, the two waves add to zero.) cmTwo waves on one string are described by the wave functions y1= 3.33 cos(2.34x − 1.21t) y2= 3.33 sin(4.37x − 2.57t) where x and y are in centimeters and t is in seconds. (Remember that the arguments of the trigonometric functions are in radians.) (a) Find the superposition of the waves y1+y2 at x = 1.0, t = 0.0 s.
- a) Show that H = Hoei(wt-kz)az Is a solution to the vector wave equation: 1 a²Ĥ = 0 c2 at2 v2 Η +Two progressive waves y1=Asin(2πλx−ωt)y1=Asin(2πλx−ωt) and y2=Asin(2πλx−ωt−π2)y2=Asin(2πλx−ωt−π2) travel in the same direction. Calculate the velocity of the wave produced as a result of interference of these two waves. Take A=5A=5 cm, λ=λ=6.9 m and ω=ω=12.3 rad/s (radian per second). Give your answer in SI units.Two progressive waves ?1(?,?)=?sin(2???−??)y1(x,t)=Asin(2πλx−ωt) and ?2(?,?)=?sin(2???−??−?2)y2(x,t)=Asin(2πλx−ωt−π2) travel in the same direction. Calculate the speed of the wave produced as a result of interference of these two waves. Take ?=5A=5 cm, ?=4λ=4 m and ?=31.4ω=31.4 Hz. Provide your answer in SI units.
- X/10. It is √gd, so A water wave is a shallow-water wave if the water depth d is less than shown in hydrodynamics that the speed of a shallow-water wave is v = waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 100 m, are shallow-water waves when the water depth is less than 10 m. Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of 5.4 m at a distance of 100 m. Part A How long does it take a wave to move the last 100 m to the shore? Assume that the waves are so small that they don't break before reaching the shore. Express your answer to two significant figures and include the appropriate units. At = Value Units ?ondePls solve this question correctly instantly in 5 min i will give u 3 like for sure