Numerical - Standing Waves Two waves traveling in opposite directions produce a standing wave. The individual wave functions are yı = (4.0cm) sin(3.0x – 2.0t) andy, = (4.0cm) sin(3.0x + 2.0t) %3D 1. Find the amplitude of the simple harmonic motion of the element of the medium located at x = 2.3 cm. II. Find the positions of the nodes and antinodes if one end of the string is at x = 0. III. What is the maximum value of the position in the simple harmonic motion of an element located at an antinode?

Numerical - Standing Waves Two waves traveling in opposite directions produce a standing wave. The individual wave functions are yı = (4.0cm) sin(3.0x – 2.0t) andy, = (4.0cm) sin(3.0x + 2.0t) %3D 1. Find the amplitude of the simple harmonic motion of the element of the medium located at x = 2.3 cm. II. Find the positions of the nodes and antinodes if one end of the string is at x = 0. III. What is the maximum value of the position in the simple harmonic motion of an element located at an antinode?

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)...

See similar textbooks

Similar questions

3. The measurement for sine wave of water, y displacement (water level) as function of time t (x-axis), is shown below. Find the period T based on the information in the Figure below. Calculate the frequency by f = 1/T (Hz). 4.The measurement for sine wave of water, y displacement (water level) as function of position x (horizontal axis), is shown below. Find the wavelength λbased on the information in the Figure below. Calculate the speed of wave using T from question 3 by ʋ = λ /T. Note: Required to show work.
7 please help
9. Which of the following functions has the longest period? a. y = 6 sin(3x) + 20 b. y = 8 cos(2x) - 4 c. y = 7cos(x) + 13 d.y= 2 sin(0.5x) - 11
Problem 3) Simple harmonic wave The wave function of a simple harmonic wave as function of position x and time t is given by (₁) 27 y(x,t)=(0.7m) cos -X- m where m = meters and s = seconds. Find the 1. amplitude A 2. wave number k 4x 3. wavelength 4. angular frequency 5. period T S
can you pls help me solve this.. the displacement of a wave is given by the equation y(t) = 3sin(2pi x - 4pi t) where x and y are in meters. Determine: a) amplitude of the wave b) wavelength c) frequency d) speed of wave e) speed of wave at t = 1 second and x = 0.15 meters •Pls answer with complete solution (3 dec places) •Sketch an illustration/diagram with labels (this is a must; for a better understanding) Thank you I will give your answer a LIKE for helping me...
The equation of a standing wave given by Y - 0.02 cos (x x) sin (10 x t) m. Find the amplitude of either wave interfering wavelength, time period, frequency and wave velocity of interfering waves. %3D
Can I get help with this simple harmonic motion questions
Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 2.9 cm, ym2 = 4.0 cm, o, = 0, and o2 = n/3 rad, what is the amplitude of the resultant wave? Units Number cm
Identify an object that undergoes uniform circular motion. Describe how you could trace the simple harmonic motion of this object as a wave.
A water wave traveling in a straight line on a lake is described by the equation y (x, t) (2.75 cm) cos (0.410 rad/cm x + 6.20 rad/st) where y is the displacement perpendicular to the undisturbed surface of the lake. = Part A How much time does it take for one complete wave pattern to go past a fisherman in a boat at anchor? Express your answer with the appropriate units. t = Submit Part B 8 = Value Part C Submit | MA What horizontal distance does the wave crest travel in that time? Express your answer with the appropriate units. k= Request Answer Value μA Submit What is the wave number? Request Answer IVE ΑΣΦΑ Units Request Answer ? Units ? ? rad/cm
1
4b please