A string oscillates according to the equation y (0.103 cm) sin[(n/3.0 cm)x] cos[(27.7 ns)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 2.04 cm when t = 1.07 s?

University Physics Volume 1
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Chapter16: Waves
Section: Chapter Questions
Problem 93P: Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of...
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A string oscillates according to the equation
y =
(0.103 cm) sin[(n/3.0 cm)x] cos[(27.7 n sl)t].
What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition
gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string
at the position x = 2.04 cm when t = 1.07 s?
(a) NumbelT0.0515
Units
cm
(b) Number
183.1
Units
Tcm/s
(c) Number Units
|cm
Units
(d) Number
Transcribed Image Text:A string oscillates according to the equation y = (0.103 cm) sin[(n/3.0 cm)x] cos[(27.7 n sl)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 2.04 cm when t = 1.07 s? (a) NumbelT0.0515 Units cm (b) Number 183.1 Units Tcm/s (c) Number Units |cm Units (d) Number
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