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Standing Waves Open Tubes

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Standing Waves in Open Tubes

Standing wave patterns in open tubes

🎯 WALT (We Are Learning To):

• Identify nodes and antinodes in open tube standing waves

• Calculate frequencies using the formula fn = n × v ÷ 2L

• Understand the first three harmonics in open tubes

Success Criteria:

✓ I can label nodes (N) and antinodes (A) on wave diagrams

✓ I can use the frequency formula correctly

✓ I can explain how harmonics relate to tube length

📊 Part 1: Understanding Standing Waves

1. In an open tube, standing waves form when sound waves reflect from both ends. Which statement is correct?

Nodes form at both open ends

Antinodes form at both open ends

One node and one antinode form at the ends

2. The first harmonic (fundamental frequency) in an open tube has:

One node in the centre

Two nodes in the tube

No nodes inside the tube

3. Label the diagram below showing the first harmonic in an open tube. Mark all nodes with 'N' and antinodes with 'A'.
4. For the second harmonic, how many nodes are inside the tube?

Answer: _______ nodes

5. Complete this sentence: In open tubes, the wavelength of the first harmonic equals _______ times the tube length.

One

Two

Half

🔢 Part 2: Calculations

6. An open tube is 0.5 metres long. The speed of sound is 340 m/s. Calculate the frequency of the first harmonic using f₁ = v ÷ 2L
7. Using the same tube from question 6, what is the frequency of the third harmonic? (Hint: f₃ = 3 × f₁)
8. Extension Challenge: A flute (open tube) produces a note at 440 Hz as its second harmonic. If the speed of sound is 340 m/s, calculate the length of the flute. Show your working.
9. Explain in your own words why open tubes produce different harmonics and how this relates to musical instruments.

🎓 Differentiation Support

For dyslexia-friendly reading:

• Key formula: f = n × v ÷ 2L (frequency = harmonic number × wave speed ÷ 2 × tube length)

• Remember: Open tubes have antinodes at BOTH ends

Support strategies:

• Use coloured pens to mark nodes and antinodes

• Work with a partner for calculations

• Draw wave patterns before attempting calculations

Extension activities:

• Research how wind instruments use open tube harmonics

• Compare open tube frequencies with closed tube frequencies

• Investigate how tube diameter affects sound quality

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