The Doppler equation presented in the text is valid when the motion between the

Question

The Doppler equation presented in the text is valid when the motion between the observer and the source occurs on a straight line so that the source and observer are moving either directly toward or directly away from each other. If this restriction is relaxed, one must use the more general Doppler equation
f ' = [(v + v0 cos?0)/(v ? vs cos?s)]f
where ?0 and ?S are defined in Figure a. Use the preceding equation to solve the following problem. A train moves at a constant speed of 22.5 m/s toward the intersection shown in Figure b. A car is stopped near the crossing, 30.0 m from the tracks. The train's horn emits a frequency of 525 Hz when the train is 40.0 m from the intersection.

Explanation / Answer

distance from the train to the car =402 +302 =50m

cos=40/50=0.8

f1=f(v/v-vscos)

    = 525(330/330-22.5cos)

     =525(330/312)=525*1.05

f1=555.28Hz

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.