A transverse wave propagates down a horizontal string. Each frame (picture) in t

Question

A transverse wave propagates down a horizontal string. Each frame (picture) in the diagram shows the shape of the string at a different time. Each frame is 0.20 s after the previous one. Frame B corresponds to time t = 0. A single point on the string is marked with a dot.

1. Measure the distance a point of constant phase (when the amplitude is zero for example) moves during the time interval from frame A to fame G. Use this distance, and the elapsed time between frames A and G, to calculate the wave speed (and its uncertainty ). Express the answer in cm/s.

2. Measure and record the wavelength of the wave, and its uncertainty, in centimeters.

3. What is the period (T) of the wave in seconds? Explain how you determined it. You should use the pictures on the previous page, not the equation v = wave/T .

4. Now, calculate the wave speed using v = wave/T , as well as the uncertainty in the wave speed.

5. Are the values for the wave speed calculated in Parts 1 and 4 equal within experimental uncertainty? Explain any discrepancies.

6. In what frames does the dot have zero instantaneous speed? Explain your answer. (Here and in part 7, ignore Frame B, which is ambiguous because the speed of the dot changes discontinuously at t = 0.)

7. In what frames does the dot have maximum speed? Explain your answer.

Explanation / Answer

we can solve each part as

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