Consider two sinusoidal waves traveling along a string, modeled as y,(x,t) = (0·3m)sin([4m¯¹³]x+ [3s¯¹³]t) and y2(x,t) = (0·6m)sin([8m¯¹³]x− [6s¯¹³]t). What is the height of the resultant wave formed by the interference of the two waves at the position x=1.3 m at time t=0.3 s? y(1.3 m, 0.3 s) Note: Assume the phase is in radians. m

Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?

Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x+3s1t+3) and y2(x,t)=0.6msin(8m1x6s1t) . 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?

A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.

Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?

Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?

Two traveling sinusoidal waves interfere to produce a wave with the mathematical form y(x,t) = Ym sin(kx +wt + a). If the value of ø is appropriately chosen, the two waves might be: A. Y1 (x,t) = (ym/3) sin(kx + wt) and y2(x,t) = (ym/3) sin(kx + wt + ø) B. y1 (x,t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(kx C. y1 (x, t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(ka + wt + ø) D. y1 (x,t) = 0.7ym sin[(kæ/2) – (wt /2)] and y2(x,t) = 0.7ym sin[(kx/2) – (wt/2) + ø] E. y1(x,t) = 0.7ym sin(kx + wt) and y2(x,t) = 0.7ym sin(kx + wt + o) - wt + ø)

Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 2 cm sin(4πx-60πt+π/3). The amplitude of the individual waves generating this wave is:

Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the right with same velocity v 50 m/s. The resultant wave function y res (x,t) will have the form:

Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 8 cm sin(4Ttx-60rtt+Tt/3). The amplitude %3D of the individual waves generating this wave is: O 4/V3 cm 2 cm O 2/V3 cm O 8 cm 4 cm