2 1. A wave on a string is described by y(x,t) = 3 cm sin [(22)...

Transcribed Image Text:

2 1. A wave on a string is described by y(x,t) = 3 cm sin [(22) 2 [ ( 227 ) x + ( 2 ) t], 2.4 (0.20 s) t], where x is in meters and t is in seconds. The linear mass density of the string is 0.005 kg/m. (a) In what direction is the wave traveling? Determine the wave's (b) angular frequency, (c) wavelength and (d) speed of propagation. (e) What is the tension in the string? Determine the magnitudes of the (f) maximum displacement, (g) maximum speed and (h) maximum acceleration of a small segment of the string. (i) At t = 3.0 s, what is the displacement of a small segment of the string located at x = 0.50 m? Report all answers in Sl units. (a) wave is travelling in angular freq direct 2 1. A wave on a string is described by y(x,t) = 3 cm sin [(22) 2 [ ( 227 ) x + ( 2 ) t], 2.4 (0.20 s) t], where x is in meters and t is in seconds. The linear mass density of the string is 0.005 kg/m. (a) In what direction is the wave traveling? Determine the wave's (b) angular frequency, (c) wavelength and (d) speed of propagation. (e) What is the tension in the string? Determine the magnitudes of the (f) maximum displacement, (g) maximum speed and (h) maximum acceleration of a small segment of the string. (i) At t = 3.0 s, what is the displacement of a small segment of the string located at x = 0.50 m? Report all answers in Sl units. (a) wave is travelling in angular freq direct