You ride your bike at 11.1 m/s directly away from your neighbor's trumpet sound and toward the sound of another neighbor's trombone and find that you hear both instruments at exactly the same pitch. The trumpeter is practicing her middle C at a frequency of 262 Hz. The speed of sound in air is 343 m/s. What frequency $f$ is the trombonist producing? $f = \text{____ Hz}$
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We are given that $v_s = 343 \, m/s$, $v_o = 11.1 \, m/s$, and $f_t = 262 \, Hz$. We are also given that the observer hears both instruments at the same pitch, so the observed frequencies are equal: $f_t^{'} = f_b^{'}$. Show more…
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