1) A certain transverse traveling wave on a string can be represented by the following equation where y is the displacement of the string, x is position of a point along the string, and t is the time. What are the units of the coefficients of the x-term and the t-term in the above expression? What do we call those coefficients?
2) Be sure the simulation has finished loading before you begin.
The next two questions pertain to the simulation below.
Test your function for g(x,t) here. g(x,t)=
3) This question refers to the Physlet that appears as part of the previous question.
What wave function, g(x,t) (middle panel), when added to f(x,t) (top panel), will produce a beat wave with a beat frequency of 0.2 Hz? Note that the superposition of f(x,t) and g(x,t) will appear in the bottom panel. Experiment with various functions for g(x,t) by entering your function in the small textarea immediately below the simulation and then clicking the "Enter" button next to the textarea. If you aren't sure how to answer this question, please explain what you do know about producing beats. Also, feel free to "play" with changing different parameters in the equation for g(x,t) to help you understand what each parameter affects or represents.
You may change your mind as often as you wish. When you are satisfied with your responses
click the SUBMIT button.
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