he equation of a harmonic wave propagating along a stretched string is represented by (x, î) = 4.5 sin(1.3x – 46t), where x and y are in meters and the time tis in seconds. (a) In what direction is the wave propagating? O negative x direction O positive x direction (b) What is the amplitude of the wave?
he equation of a harmonic wave propagating along a stretched string is represented by (x, î) = 4.5 sin(1.3x – 46t), where x and y are in meters and the time tis in seconds. (a) In what direction is the wave propagating? O negative x direction O positive x direction (b) What is the amplitude 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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![The equation of a harmonic wave propagating along a stretched string is represented by:
\[ y(x, t) = 4.5 \sin(1.3x - 46t) \]
where \( x \) and \( y \) are in meters and the time \( t \) is in seconds.
### Questions:
(a) In what direction is the wave propagating?
- ○ negative \( x \) direction
- ○ positive \( x \) direction
(b) What is the amplitude of the wave?
- [Input Box] m
(c) What is the wavelength of the wave?
- [Input Box] m
(d) What is the frequency of the wave?
- [Input Box] Hz
(e) What is the propagation speed of the wave?
- [Input Box] m/s
### Explanation:
This series of questions is designed to enhance conceptual understanding of wave properties using the given wave equation. Students are expected to interpret the wave equation to determine direction, amplitude, wavelength, frequency, and speed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafa4cb6f-0c50-4ba8-9a03-e3918106ad13%2F297d905e-e29a-4b98-be1c-9513858d5c17%2Fcv91qzn_processed.png&w=3840&q=75)
Transcribed Image Text:The equation of a harmonic wave propagating along a stretched string is represented by:
\[ y(x, t) = 4.5 \sin(1.3x - 46t) \]
where \( x \) and \( y \) are in meters and the time \( t \) is in seconds.
### Questions:
(a) In what direction is the wave propagating?
- ○ negative \( x \) direction
- ○ positive \( x \) direction
(b) What is the amplitude of the wave?
- [Input Box] m
(c) What is the wavelength of the wave?
- [Input Box] m
(d) What is the frequency of the wave?
- [Input Box] Hz
(e) What is the propagation speed of the wave?
- [Input Box] m/s
### Explanation:
This series of questions is designed to enhance conceptual understanding of wave properties using the given wave equation. Students are expected to interpret the wave equation to determine direction, amplitude, wavelength, frequency, and speed.
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