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Lesson Introduction to Waves and basic wave formulas NOTES 1. Interference and reflection
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Standing Wave Systems – Wave Speed
A string is stretched so that it is under tension and is tied at both ends so that the endpoints don’t move. A mechanical oscillator then vibrates the string so that a standing wave is created. The dark line in each diagram represents a snapshot of a string at an instant in time when the amplitude of the standing wave is a maximum. The lighter lines represent the string at other times during a complete cycle. All of the strings have the same length but may not have the same mass. The number of nodes and antinodes in the standing wave is the same in Cases A and D. The tensions in the strings (T) and the standing wave frequencies (f) are given in each figure.
Rank the speeds of the waves in the strings.
Explain your reasoning.
A string is stretched so that it is under tension and is tied at both ends so that the endpoints don’t move. A mechanical oscillator then vibrates the string so that a standing wave is created. The dark line in each diagram represents a snapshot of a string at an instant in time when the amplitude of the standing wave is a maximum. The lighter lines represent the string at other times during a complete cycle. All of the strings have the same length but may not have the same mass. The number of nodes and antinodes in the standing wave is the same in Cases A and D. The tensions in the strings (T) and the standing wave frequencies (f) are given in each figure.
Rank the speeds of the waves in the strings.
Explain your reasoning.