A transverse harmonic wave travels on a rope according to the followingexpression: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 inmeters andt in seconds.1) What is the amplitude of the wave?0.14m Submit+)2) What is the frequency of oscillation of the wave?2.706Hz Submit3)What is the wavelength of the wave?2.51m Submit4) What is the speed of the wave?6.79206m/s Submit5) What is the tension in the rope?5.213N Submit+)6) At x = 3.8 m and t = 0.43 s, what is the velocity of the rope? (watch yoursign)m/s Submit7) At x = 3.8 m and t = 0.43 s, what is the acceleration of the rope? (watchyour sign)m/s2 Submit8) What is the average speed of the rope during one complete oscillationof the rope?m/s Submit

Step 1: We know that, The transverse harmonic wave-equation is given as :…

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 and t 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?

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 and t 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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

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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