Hearing the siren of an approaching fire truck, you pull over to the side of the

Question

Hearing the siren of an approaching fire truck, you pull over to the side of the road and stop. As the truck approaches, you hear a tone of 454 Hz; as the truck recedes, you hear a tone of 410 Hz. How much time will it take for the truck to get from your position to the fire 5.6 km away, assuming it maintains a constant speed?
min

Explanation / Answer

454 = f*(343/(343-Vs)) 410 = f*(343/(343+Vs)) =>454/410 = (343/Vs)/(343-Vs) =>(343+Vs)/(343-Vs) = 1.107317073 =>(343+Vs) = 379.8097561-1.107317073Vs =>2.107317073Vs = 36.8097561 =>Vs = 17.47m/sec Time taken = 5600/17.47 = 320.594sec = 5.34323min

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

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