Problem 4: You are given the two wave functions for waves traveling along the x-axis: ,(x, t) = 4.7 cos(2.7x - 11.4t) and 42(x, t) = 4.7 cos(2.7x - 11.4t + T/2). First plot each wave function as a function of time t at x = 0 on a piece of paper. For mechanical waves, such plots describe the vibration of particles at the origin as the waves pass by. Look at your plot and give an interpretation of phase constant. In the case of mechanical waves, these plots tell us the vibration of the particles at the origin. MultipleChoice : 1) Þ2 vibrations are ahead of the , vibrations by a half cycle. 2) Þ1 vibrations are ahead of the 2 vibrations by a half cycle. 3) Þ2 vibrations are ahead of the 1 vibrations by a quarter cycle. 4) w, vibrations are ahead of the 2 vibrations by a quarter cycle.
Problem 4: You are given the two wave functions for waves traveling along the x-axis: ,(x, t) = 4.7 cos(2.7x - 11.4t) and 42(x, t) = 4.7 cos(2.7x - 11.4t + T/2). First plot each wave function as a function of time t at x = 0 on a piece of paper. For mechanical waves, such plots describe the vibration of particles at the origin as the waves pass by. Look at your plot and give an interpretation of phase constant. In the case of mechanical waves, these plots tell us the vibration of the particles at the origin. MultipleChoice : 1) Þ2 vibrations are ahead of the , vibrations by a half cycle. 2) Þ1 vibrations are ahead of the 2 vibrations by a half cycle. 3) Þ2 vibrations are ahead of the 1 vibrations by a quarter cycle. 4) w, vibrations are ahead of the 2 vibrations by a quarter cycle.
Related questions
Question
Transcribed Image Text:Problem 4: You are given the two wave functions for waves traveling along the x-axis: ,(x, t) = 4.7 cos(2.7x -
11.4t) and w2(x, t) = 4.7 cos(2.7x - 11.4t + T/2). First plot each wave function as a function of time t at x = 0 on a
piece of paper. For mechanical waves, such plots describe the vibration of particles at the origin as the waves
pass by.
Look at your plot and give an interpretation of phase constant. In the case of mechanical waves, these plots tell us the
vibration of the particles at the origin.
MultipleChoice :
1) 42 vibrations are ahead of the 1 vibrations by a half cycle.
2) w, vibrations are ahead of the p, vibrations by a half cycle.
3) 2 vibrations are ahead of the w1 vibrations by a quarter cycle.
4) w, vibrations are ahead of the 2 vibrations by a quarter cycle.
Expert Solution
Step 1
(a)
Let ω denotes the angular speed of the two waves, T denotes the period. Therefore, the time period can be determined for the given wave functions as,
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
