How do I find the speed of this train?

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SUMMARY

The discussion centers on calculating the speed of Train B using the Doppler effect, given that both trains emit a whistle at a frequency of 246 Hz. Train A is stationary, while Train B approaches the station, resulting in 5.39 beats per second detected by the conductor of Train B. Using the formula f' = f (v + 0 / v - vs) and the speed of sound at 340 m/s, the speed of Train B can be determined through the observed beat frequency.

PREREQUISITES
  • Understanding of the Doppler effect
  • Familiarity with wave frequency and beats
  • Basic knowledge of sound speed in air
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the Doppler effect in detail, focusing on moving source and stationary observer scenarios
  • Learn how to calculate beat frequency in wave physics
  • Explore sound wave propagation and factors affecting speed in different mediums
  • Practice solving problems involving the Doppler effect with varying frequencies and speeds
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Students in physics, educators teaching wave mechanics, and anyone interested in understanding sound wave behavior in motion scenarios.

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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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