The Humming Bicycle Wheel · AI Generator #GEN-3B868FE2

Physics

Problem

A bicycle mechanic notices that when spinning a bicycle wheel on a repair stand, the spokes create a humming sound. The wheel has N=36N = 36 equally spaced spokes, and when the wheel rotates at ω=8.0  rev/s\omega = 8.0\;\text{rev/s}, the fundamental frequency of the hum is measured to be f=288  Hzf = 288\;\text{Hz}. The sound is created because each spoke briefly blocks and then unblocks the airflow as it passes a fixed reference point, creating periodic pressure variations in the air. What is the speed of sound in the air of the bike shop?

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