A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.16sin(2.2x + 17t). The mass density of the rope is u = 0.145 kg/m. x and y are %3D measured in meters and t in seconds. At x = 3.1 m and t = 0.43 s, what is the velocity of the rope? (watch your sign) At x = 3.1 m and t = 0.43 s, what is the acceleration of the rope? (watch your sign) What is the average speed of the rope during one complete oscillation of the rope?

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A transverse harmonic wave travels on a
rope according to the following expression:
y(x,t) = 0.16sin(2.2x + 17t). The mass density
of the rope is u = 0.145 kg/m. x and y are
%3D
measured in meters and t in seconds.
At x = 3.1 m and t = 0.43 s, what is the
velocity of the rope? (watch your sign)
At x = 3.1 m and t = 0.43 s, what is the
acceleration of the rope? (watch your sign)
What is the average speed of the rope
during one complete oscillation of the
rope?
Transcribed Image Text:A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.16sin(2.2x + 17t). The mass density of the rope is u = 0.145 kg/m. x and y are %3D measured in meters and t in seconds. At x = 3.1 m and t = 0.43 s, what is the velocity of the rope? (watch your sign) At x = 3.1 m and t = 0.43 s, what is the acceleration of the rope? (watch your sign) What is the average speed of the rope during one complete oscillation of the rope?
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