Rod Center Open
If you hold an aluminum rod in the center, what is it's lowest frequency of oscillation?
If you hold a 1.06 m metal rod in the center and hit one end with a hammer, it will oscillate like an open pipe. Antinodes of air pressure correspond to nodes of molecular motion,so there is a pressure antinode in the center of the bar. The speed of sound in aluminum is 5150 m/s.
What would be the lowest frequency of oscillation?
Answer in units of kHz.
For lowest frequency, the standing wave produced should be first harmonic.
For first harmonic,
λ/2 = length of rod = 1.06 m
so
λ = 2.12 m
Frequency = v / λ = 5150 / 2.12 = 2429.2 Hz = 2.429 kHz
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