Two sinusoidal waves of wavelength λ = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the left with same velocity v = 50 m/s. The resultant wave function y_res (x,t) will have the form:y_res (x,t) = 12(cm) cos⁡(φ/2) sin⁡(150πx+3πt+φ/2).y_res (x,t) = 12(cm) cos⁡(φ/2) sin⁡(3πx+150πt+φ/2).y_res (x,t) = 12(cm) cos⁡(φ/2) sin⁡(3πx-150πt+φ/2).y_res (x,t) = 12(cm) cos⁡(φ/2) sin⁡(3πx-180πt+φ/2).y_res (x,t) = 12(cm) cos⁡(φ/2) sin⁡(150πx-3πt+φ/2). Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm anddiffering with their phase constant, are travelling to the left with same velocity v= 50 m/s. The resultant wave function y_res (x,t) will have the form:O y_res (x,t) = 12(cm) cos(p/2) sin(150rtx+3Ttt+p/2).O y_res (x,t) = 12(cm) cos(p/2) sin(3rx+150rt+p/2).y_res (x,t) = 12(cm) cos(p/2) sin(3Ttx-150rtt+p/2).y_res (x,t) = 12(cm) cos(p/2) sin(3rx-180nt+p/2).O y_res (x,t) = 12(cm) cos(p/2) sin(150rtx-3rt+p/2).

The wave number is, k=2πλ=2π23=3π The angular velocity is, v=ωkω=vk=503π=150π

Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the left with same velocity v = 50 m/s. The resultant wave function y_res (x,t) will have the form: O y_res (x,t) = 12(cm) cos(p/2) sin(150rx+3rt+p/2). O y_res (x,t) = 12(cm) cos(p/2) sin(3nx+150rt+p/2). %3D O y_res (x,t) = 12(cm) cos(p/2) sin(3nx-150rt+p/2). y_res (x,t) = 12(cm) cos(p/2) sin(3nx-180nt+p/2). y_res (x,t) = 12(cm) cos(p/2) sin(150rtx-3nt+p/2).

Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the left with same velocity v = 50 m/s. The resultant wave function y_res (x,t) will have the form: O y_res (x,t) = 12(cm) cos(p/2) sin(150rx+3rt+p/2). O y_res (x,t) = 12(cm) cos(p/2) sin(3nx+150rt+p/2). %3D O y_res (x,t) = 12(cm) cos(p/2) sin(3nx-150rt+p/2). y_res (x,t) = 12(cm) cos(p/2) sin(3nx-180nt+p/2). y_res (x,t) = 12(cm) cos(p/2) sin(150rtx-3nt+p/2).

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 93P: Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of...

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