Reference no: EM133529918

Superposition of "Sound Waves"

Procedure: Amplitude

Question 1. Enter the following calculations into the PASCO Capstone calculator. All the calculations are unitless except where noted. Make sure the RAD button is selected.

Wave 1 = A₁* sin(1643t + φ₁)

Wavel = A1*sin (1643t + φ₁)

A₂ = 2

φ₁ = 10 Π with units of rad

Wave 2 = A₂*sin (1643t + φ₂)

A₂ = 2

φ₂ = 0 with units of rad

Wave 3 = Wave 1 + Wave 2

t = {0 .. 0.01;500} with units of s

Question 2. Create a graph with the calculation Wavel on the vertical axis and the calculation t on the horizontal axis. Then select Add Similar Measurement on the vertical axis and add Wave2 and Wave3. Click on the Data Selection button on the graph toolbar so more than one data set can be displayed at one time. Then click on the drop-down arrow and select both the Model and the Set. The graph will show two sound waves with identical characteristics (amplitude, frequency, and phase shift). The equations describing both waves (Wave I and Wave2) can be seen in the calculator panel. Wave3 on the graph shows the resultant superposition of Wavel and Wave2.

Question 3. Both Wavel and Wave2 have amplitude equal to 2. Increase the amplitude of Wavel by changing the value for Al in the Calculations window from 2 to 4 (press enter after changing the value). How does the amplitude of the resultant wave change when you increase the amplitude of Wavel? What is the new amplitude of Wave3?

Question 4. Follow the same procedure to decrease the amplitude of Wave2 (A2) from 2 to 0.5. How does the amplitude of the resultant wave change when you decrease the amplitude of Wave2? What is the new amplitude of Wave3?

Question 5. In your own words, describe how the amplitude of the resultant wave (Wave3) is related to its constituent waves when the constituent waves are in phase.