2. Analyze this equation as well: y (x, t)- (0.9 cm) sin [(1.2 m) x (5.0...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
A certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)], where B = 5.40 mm , L = 30.0 cm , and τ = 3.60×10−2 s . Determine the wave's amplitude. Determine the wave's wavelength. Determine the wave's frequency. Determine the wave's speed of propagation. Determine the wave's direction of propagation. Answers : 1- +x direction 2- -x direction
9.I A certain transverse wave is described by the equation (0.036 -0.280m) or y(x, t)-(6.50 mm) sin 2 Determine this wave's (a) amplitude, (b) wavelength, (c) frequen (d) speed of propagation, and (e) direction of propagation
6. A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave. (d) Determine the speed of the wave. 7. When a particular wire is vibrating with a frequency of 3.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the...
A certain transverse wave is described by the equation y(x,t) = (6.50 mm)sin2pi((t/0.0360 s)-(x/0.280m)) Determine the wave's (a) amplitude (b) wavelength (c) frequency (d) speed of propagation and (e) direction of propagation
A transverse wave is given by the following equation: y (x,t) = (2.45 cm) cos [(0.420 rad/cm)x + (5.20 rad/s)t] a) What are the wave's amplitude, frequency, period, and wavelength? b) What is the direction of wave travel, and what is the speed? c) What is the displacement of a particle at x = 5.00 m, at t = 1.00 min? Hint: pay attention to units!
A certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)], where B = 6.00 mm , L = 30.0 cm , and τ = 3.10×10−2 s . Determine the wave's amplitude. A?? Determine the wave's wavelength. λ?? Determine the wave's frequency. f??? Determine the wave's speed of propagation. v???
The equation of a transverse wave traveling along a very long string is y = 3.96 sin(0.0444πx+ 7.89πt), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 1.05 cm when t = 0.843 s?
The equation of a transverse wave traveling along a very long string is y = 6.28 sin(0.0223πx+ 3.63πt), where x and yare expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 4.95 cm when t = 0.876 s?
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...