**Wave on a String Analysis**In this exercise, we analyze a wave described by the equation:\[ D(z, t) = (2.2 \, \text{cm}) \times \sin\left[2\pi\left(\frac{z}{8.4 \, \text{m}} + \frac{t}{(0.20 \, \text{s})} + 1\right)\right] \]where \( z \) is in meters (m) and \( t \) is in seconds (s).### Part D: Wave Number Calculation**Question:** What is the wave number?Students are asked to express the wave number \( k \) with appropriate units. The correct wave number is calculated as:\[ k = 0.75 \, \text{rad/m} \]This answer is confirmed to be correct.### Part E: Wave Displacement Evaluation**Scenario:** At \( t = 0.70 \, \text{s} \), determine the displacement of the string at \( z = 9.1 \, \text{m} \).**Question:** Express the displacement \( D(9.1 \, \text{m}, 0.70 \, \text{s}) \) with appropriate units.A submission attempt for the displacement is required, with 5 attempts remaining. The submission was incorrect, prompting a retry. This exercise helps in applying trigonometric functions to wave equations, understanding wave numbers, and evaluating specific points along a wave.

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A wave on a string is described by D (z, t) = (2.2 cm) x sin (2x (z/ (8.4 m) + t/ (0.20 s) + 1)]. where I is in m and t is in S. Submit Correct Part D What is the wave number? Express your answer with the appropriate units. k = 0.75 Previous Answers Submit Part E rad Previous Answers Correct Correct answer is shown. Your answer 0.748 m ¹(-0.748 ) rad required for this part. At t = 0.70 s, what is the displacement of the string at z = 9.1 m? Express your answer with the appropriate units. D(9.1 m, 0.70 s) = μA Value Units ? was either

A wave on a string is described by D (z, t) = (2.2 cm) x sin (2x (z/ (8.4 m) + t/ (0.20 s) + 1)]. where I is in m and t is in S. Submit Correct Part D What is the wave number? Express your answer with the appropriate units. k = 0.75 Previous Answers Submit Part E rad Previous Answers Correct Correct answer is shown. Your answer 0.748 m ¹(-0.748 ) rad required for this part. At t = 0.70 s, what is the displacement of the string at z = 9.1 m? Express your answer with the appropriate units. D(9.1 m, 0.70 s) = μA Value Units ? was either

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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