How do I find the speed of this train?

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To find the speed of Train B, the Doppler effect is applied, as it involves sound waves emitted from a moving source. Train A's whistle frequency is 246 Hz, and Train B produces 5.39 beats per second due to the frequency difference caused by its motion. The frequency heard by the conductor of Train B can be calculated using the formula f' = f (v + 0 / v - vs), where vs is the speed of Train B. By solving the equations with the given speed of sound at 340 m/s, the speed of Train B can be determined. Understanding the Doppler effect is crucial for solving this problem effectively.
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Homework Statement



Two train whistles have an identical frequency of 246 Hz. Train A is motionless in the station and sounds its whistle. Meanwhile, Train B is pulling into the station and sounds its whistle. The conductor of Train B hears 5.39 beats every second. How fast is Train B moving? The speed of sound is 340 m/s.

Homework Equations



f' = f (v+0 / v-vs)

The Attempt at a Solution

 
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