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A train blows its horn as it approaches a crossing. The train engineer observes a frequency of 118 Hz and a stationary observer observes a?

A train blows its horn as it approaches a crossing. The train engineer observes a frequency of 118 Hz and a stationary observer observes a frequency of 122 Hz. What is the speed of the train? Use the speed of sound as 340m/sec

Please explain how to work this out, that will help me more than just an answer.

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  • 7 years ago
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    fd=f(v+vr)/(v-vs)

    fd= doppler frequency (122Hz observer heard)

    f= hone frequency (118Hz engineer heard)

    v= sound speed (340m/s)

    vr= observer velocity (0m/s)

    vs= train velocity (???)

    122= 118*(340+0)/(340-vs)

    122*(340-vs)= 118*340

    122vs= 41480-40120= 1360

    vs= 11.1475 = 11.15[m/s] approx.

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