Please show all work and Explain! Thank you! In which of these scenarios do you

Question

Please show all work and Explain! Thank you!

In which of these scenarios do you hear a higher pitched sound? Explain. A police car with siren sounding is stationary and you approach it with a speed vo. You are stationary and the same police car with a siren sounding approaches you at speed vo. What is the difference in pitch between the above two scenarios if v0 = 90 mi/hr, the frequency of the police siren is 300 Hz and the air temperature is 20 degree C? What is the difference in pitch in (b) if (hypothetically) v0 is one-third the speed of sound?

Explanation / Answer

a)(i)f=f0*(c+v0)/c=f0*(1+v/c)

(ii)f=f0*(c/c-v)

Clearly, the f apparent for the second case is larger and we hear a higher pitched sound.

b)v0=90mi/h=40.234m/s

c=343.2m/s

f1=335.2Hz

f2=339.8Hz

f2-f1=4.7Hz

c)f1=300*(1+1/3)=400Hz

f2=300*(1/(1-1/3))=450Hz

f2-f1=50Hz

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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