11-14-2025, 10:27 PM
[border]TIER 7 — Advanced Reasoning[/border]
Tier 7 — Challenge 002 — The Resonant Pipes
Two hollow metal pipes produce sound based on their lengths.
• Pipe A is **0.80 m** long and resonates at its first harmonic frequency of **215 Hz**
• Pipe B resonates at **270 Hz** in its first harmonic
Assume both pipes behave as open pipes (speed of sound ≈ 340 m/s).
Questions:
1. What is the length of Pipe B?
2. What is the ratio of their lengths?
3. If both pipes are played together, what beat frequency will you hear?
Show your formulas and reasoning clearly.
? Submit Your Attempt
Thread title:
Tier 7 Attempt — YourUsername — Challenge 002
Tier 7 — Challenge 002 — The Resonant Pipes
Two hollow metal pipes produce sound based on their lengths.
• Pipe A is **0.80 m** long and resonates at its first harmonic frequency of **215 Hz**
• Pipe B resonates at **270 Hz** in its first harmonic
Assume both pipes behave as open pipes (speed of sound ≈ 340 m/s).
Questions:
1. What is the length of Pipe B?
2. What is the ratio of their lengths?
3. If both pipes are played together, what beat frequency will you hear?
Show your formulas and reasoning clearly.
? Submit Your Attempt
Thread title:
Tier 7 Attempt — YourUsername — Challenge 002