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When two or more waves are simultaneously present at a single point in space, the displacement of the medium at that point is the sum of the displacement due to each individual wave. Nodes and antinodes can be defined as pressure or velocity. When a wave meets a boundary it is reflected.
The interpretation of the group velocity as the speed of energy propagation is only valid in the case of normal dispersion! In fact, mathematically we can superpose waves to make any group velocity we desire - even zero!
A standing wave has formed which has seven nodes including the endpoints. What is the frequency of this wave? Which harmonic is it? What is the fundamental frequency? The maximum amplitude at the antinodes is 0.0075 m, write an equation for this standing wave. First we sketch the standing wave.
Create an experiment to determine if/how the velocity of the wave changes as the harmonic number changes. Make independent measurements of the wavelength and frequency of multiple standing waves to calculate this velocity. The uncertainty for each velocity measurement will likely be different!
a. Draw the standing wave patterns for the first six harmonics. b. Determine the wavelength for each harmonic on the 12 meter rope. Record the values in the table below. c. Use the equation for wave speed (v = f. λ) to calculate each frequency. d. What happens to the frequency as the wavelength increases? e. Suppose the students cut the rope ...
Standing, or stationary, wave is the name for the phenomenon in which a medium appears to vibrate discontinuously, in certain segments or regions, and not to vibrate at all at certain points. Locations of minimal displacement are called nodes, and those of maximal displacement are called
Recall and use equations relating wave velocity, frequency, wave-length, and the characteristics of media: transverse waves along a string of given mass, length and tension; longitudinal waves in air and along a solid of given elastic constants (0-202). K1.
