A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.5x + 17t) The mass density of the rope is u = 0.113 kg/m. x and y are measured in meters andt in seconds. 1) What is the amplitude of the wave? 0.14 m Submit 2) What is the frequency of oscillation of the wave? 2.706 Hz Submit What is the wavelength of the wave? 2.51 m Submit 4) What is the speed of the wave? 6.79206 m/s Submit 5) What is the tension in the rope? 5.213 N Submit

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter16: Waves
Section: Chapter Questions
Problem 116P: Sine waves are sent down a 1.5-m-long string fixed at both ends. The waves reflect back in the...
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A transverse harmonic wave travels on a rope according to the following
expression:
y(x,t) = 0.14sin(2.5x + 17t)
The mass density of the rope is µ = 0.113 kg/m. x and y are measured in
meters andt in seconds.
1) What is the amplitude of the wave?
0.14
m Submit
+)
2) What is the frequency of oscillation of the wave?
2.706
Hz Submit
3)
What is the wavelength of the wave?
2.51
m Submit
4) What is the speed of the wave?
6.79206
m/s Submit
5) What is the tension in the rope?
5.213
N Submit
+)
6) At x = 3.8 m and t = 0.43 s, what is the velocity of the rope? (watch your
sign)
m/s Submit
7) At x = 3.8 m and t = 0.43 s, what is the acceleration of the rope? (watch
your sign)
m/s2 Submit
8) What is the average speed of the rope during one complete oscillation
of the rope?
m/s Submit
Transcribed Image Text:A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.5x + 17t) The mass density of the rope is µ = 0.113 kg/m. x and y are measured in meters andt in seconds. 1) What is the amplitude of the wave? 0.14 m Submit +) 2) What is the frequency of oscillation of the wave? 2.706 Hz Submit 3) What is the wavelength of the wave? 2.51 m Submit 4) What is the speed of the wave? 6.79206 m/s Submit 5) What is the tension in the rope? 5.213 N Submit +) 6) At x = 3.8 m and t = 0.43 s, what is the velocity of the rope? (watch your sign) m/s Submit 7) At x = 3.8 m and t = 0.43 s, what is the acceleration of the rope? (watch your sign) m/s2 Submit 8) What is the average speed of the rope during one complete oscillation of the rope? m/s Submit
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