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S10P1CLec14C

# S10P1CLec14C - Physics 1C Lecture 14C"The finest words in...

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Physics 1C Lecture 14C "The finest words in the world are only vain sounds if you cannot understand them." --Anatole France

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Standing Waves You can also create standing waves in columns of air. But in air, there are special rules regarding nodes and anti-nodes at the ends. A node must exist at a closed end of a column since the movement of particles is restricted. An anti-node must exist at an open end of a column since the particles in air have complete freedom to move. You can have three situations with columns of air: open-open, closed-closed, and open-closed.
Standing Waves The closed-closed case for air columns is exactly like the same situation as we had with strings fixed on the ends (nodes at both ends). You will use the same frequency equations: f n = n v 2 L Λি Νয় Μ৏ Ξ৯ Πਏ Ο৿ You will use the same frequency equations for the open-open case as well since you have anti-nodes at both ends.

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Standing Waves But for the open-closed case, then for the longest standing wave (1 anti-node) we get: For 2 anti-nodes (second harmonic), we get:
Standing Waves For 3 anti-nodes, we get: For the nth frequency: Recall that: v = λ f So in general the frequency will be: L = n 4 λ n =1, 3, 5, 7...

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S10P1CLec14C - Physics 1C Lecture 14C"The finest words in...

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