Two trains are traveling toward each other at 30.6 m/s relative to the ground. O

Question

Two trains are traveling toward each other at 30.6 m/s relative to the ground. One train is blowinga whistle at 1070 Hz. (a) What frequency will be heard on the othertrain in still air?
1 Hz

(b) What frequency will be heard on the other train if the wind isblowing at 30.6 m/s toward the whistle andaway from the listener?
2 Hz

(c) What frequency will be heard if the wind direction isreversed?
3 Hz (a) What frequency will be heard on the othertrain in still air?
1 Hz

(b) What frequency will be heard on the other train if the wind isblowing at 30.6 m/s toward the whistle andaway from the listener?
2 Hz

(c) What frequency will be heard if the wind direction isreversed?
3 Hz

Explanation / Answer

Speed of train v ' = 30.6 m / s Actual frequency f = 1070 Hz Speed of sound v = 340 m / s (a). frequency will be heard on the other train in still airis f ' = [ ( v + v ' ) / ( v - v ' ) ] f                                                                                          = 1281.64 hz (b). speed of wind w = 30.6 m / s required frequency f " = [ ( v + v '+w) / ( v -v'- w ) ] f                                 = 1539.75 Hz (c). f "' = [ ( v + v ' -w ) / ( v - v ' +w ) ] f            = f = 1070 hz

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