A wave is described by the equation: with t in seconds and x in metres. (i) (ii) y(x, t) = 0.6 sin[(2t - 6x) + (iv) кто Find the frequency, wavelength and wave number of this wave [Hint: write (2t-6x) as -(6x-2t) and then use trigonometric identities to interpret what y(x,t) = Asin[-(kx-ot)] represents graphically compared to y(x, t) = Asin(kx-cot). What is the propagation velocity/wave speed of this wave? What is the displacement and velocity of a particle at x = 0,3 m at t = 2 s? Based on your answer in (c) above, is the particle at x = 0,3 m moving away or towards the equilibrium at t = 2 s? Explain.

A wave is described by the equation: with t in seconds and x in metres. (i) (ii) y(x, t) = 0.6 sin[(2t - 6x) + (iv) кто Find the frequency, wavelength and wave number of this wave [Hint: write (2t-6x) as -(6x-2t) and then use trigonometric identities to interpret what y(x,t) = Asin[-(kx-ot)] represents graphically compared to y(x, t) = Asin(kx-cot). What is the propagation velocity/wave speed of this wave? What is the displacement and velocity of a particle at x = 0,3 m at t = 2 s? Based on your answer in (c) above, is the particle at x = 0,3 m moving away or towards the equilibrium at t = 2 s? Explain.

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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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 wave is described by the equation:
with t in seconds and x in metres.
(i)
€
(iv)
y(x, t) = 0.6 sin[(2t - 6x) +
+핑
Find the frequency, wavelength and wave number of this wave [Hint: write (2t-6x) as
-(6x-2t) and then use trigonometric identities to interpret what y(x,t) = Asin[-(kx-ot)]
represents graphically compared to y(x,t) = Asin(kx-cot).
What is the propagation velocity/wave speed of this wave?
What is the displacement and velocity of a particle at x = 0,3 m at t = 2 s?
Based on your answer in (c) above, is the particle at x = 0,3 m moving away or towards
the equilibrium at t = 2 s? Explain.

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Step 1: Writing the given data

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Step 2: (i) Calculating the frequency, wavelength and wave number

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Step 3:(ii) Finding the wave speed

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Step 4: (iii) Finding the displacement and velocity of the particle

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Step 5(iv) Determining the direction of the wave

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