You bike at 10.3 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. What frequency is the trombonist producing? The speed of sound in air is 343 m/s.
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((343 - 10.3)/343) x 262 = frequency of 254.1323615Hz. heard by you from the trumpet.
This means you will be hearing that same frequency from the trombone. As you are travelling toward it, it must be producing a frequency that is twice the difference between the trumpet's 262Hz. and the frequency you are hearing, below the 262Hz. of the trumpet.
262 - ((262 - 254.132615) x 2) = 246.3Hz. is the trombone's frequency.
This means you will be hearing that same frequency from the trombone. As you are travelling toward it, it must be producing a frequency that is twice the difference between the trumpet's 262Hz. and the frequency you are hearing, below the 262Hz. of the trumpet.
262 - ((262 - 254.132615) x 2) = 246.3Hz. is the trombone's frequency.