A train station bell gives off a fundamental tone of 500 Hz as the train approaches the station at a speed of 30.0 m/s.If the speed of sound in air is 339 m/s,what will be the apparent frequency of the bell to an observer riding the train?

Question

Quizplus · Accepted Answer

The apparent frequency can be calculated using the Doppler effect formula for sound: f' = f * (v + vo) / (v + vs), where f is the source frequency (500 Hz), v is the speed of sound (339 m/s), vo is the observer's speed (30 m/s), and vs is the source speed (0 m/s, since the bell is stationary). Plugging in the values, f' = 500 * (339 + 30) / 339 = 544 Hz.

A Train Station Bell Gives Off a Fundamental Tone of 500