A car approaches a train station with a speed of 24 m/s. A stationary train at the station sounds its horn which has a frequency of 166 Hz. What frequency of sound is heard by the car's driver

178.5 Hz

Explanation:

Given that a  car approaches a train station with a speed of 24 m/s. A stationary train at the station sounds its horn which has a frequency of 166 Hz. What frequency of sound is heard by the car's driver ?

Solution

Using doppler effect formula

F = f ( V/ V- v)

Where F = frequency of sound heard by the car

f = train frequency

V = speed of sound

v = car speed

F = 166 ( 343 ÷ ( 343 - 24 ) )

F = 166 ( 343 / 319 )

F = 166 × 1.0752

F = 178.489 Hz

F = 178.5 Hz

Therefore, the frequency of sound heard by the observer in the car is 178.5 Hz approximately.

trig 15.3 cos