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1. An infinitely long string stretching along the x-axis, with a tension r=18.0N , carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,t) = (0.350)sin((0.0500 -).x+ (300.0 -)t). In this equation the units of both y(x,t) and xare cm and t is in seconds. a. What is the amplitude of the wave, y, ? b. What is the frequency of the wave, f? c. What is the wavelength of the wave,¿ ?

1. An infinitely long string stretching along the x-axis, with a tension r=18.0N , carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,t) = (0.350)sin((0.0500 -).x+ (300.0 -)t). In this equation the units of both y(x,t) and xare cm and t is in seconds. a. What is the amplitude of the wave, y, ? b. What is the frequency of the wave, f? c. What is the wavelength of the wave,¿ ?

College Physics
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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Please show formulas. I  need help on parts a, b, and c. 

1. An infinitely long string stretching along the x-axis, with a tension = 18.0N, carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,1) = (0.350) sin( (0.0500 z)x+ (300.0 r)t). In this equation the units of both y(x,1) and x are cm and t is in seconds. a. What is the amplitude of the wave, y, ? b. What is the frequency of the wave, f? c. What is the wavelength of the wave, 2? d. What is the speed of the wave, v? e. What direction is the wave traveling along the x-axis? f. At x=1.20 cm and t = 3.56x10s what is the phase, o of the wave? g. At x=1.20 cm and t = 3.56x10 s what is the displacement y(x,1) of the wave? h. What is the mass per unit length of the string, 4 ?
Transcribed Image Text:1. An infinitely long string stretching along the x-axis, with a tension = 18.0N, carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,1) = (0.350) sin( (0.0500 z)x+ (300.0 r)t). In this equation the units of both y(x,1) and x are cm and t is in seconds. a. What is the amplitude of the wave, y, ? b. What is the frequency of the wave, f? c. What is the wavelength of the wave, 2? d. What is the speed of the wave, v? e. What direction is the wave traveling along the x-axis? f. At x=1.20 cm and t = 3.56x10s what is the phase, o of the wave? g. At x=1.20 cm and t = 3.56x10 s what is the displacement y(x,1) of the wave? h. What is the mass per unit length of the string, 4 ?
Expert Solution
Step 1

the equation of a sinusoidal harmonic wave is

y=Asin(2πTt-2πλx+ϕ)                       ......(1)

where A is the amplitude in m

           T is the time period

            x is the displacement of wave at time t

            λ is the wavelength of the wave

 Frequency of a wave is given by

ν=1T                     ......(2)

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