Math for Practice: 1. A listener is at rest and the source is moving toward him at 30ms^-1 what is the frequency as heard by the listener?The frequency and speed of the sound is 200 Hz and 332ms^-1 [218.87 Hz]

Question

Math for Practice: 1. A listener is at rest and the source is moving toward him at 30ms^-1 what is the frequency as heard by the listener?The frequency and speed of the sound is 200 Hz and 332ms^-1 [218.87 Hz]

Answer 1

To solve this problem, we can use the Doppler effect formula for sound:f' = f * (v + v_s) / (v + v_o)Where:f' is the observed frequencyf is the emitted frequencyv is the speed of soundv_s is the speed of the sourcev_o is the speed of the observerGiven:f = 200 Hzv = 332 m/sv_s = -30 m/s (negative because the source is moving towards the observer)v_o = 0 m/s (the observer is at rest)Plugging in the values, we get:f' = 200 * (332 + (-30)) / (332 + 0)f' = 200 * 302 / 332f' ≈ 182.43 HzTherefore, the frequency heard by the listener is approximately 182.43 Hz.

Вопрос

Math for Practice: 1. A listener is at rest and the source is moving toward him at 30ms^-1 what is the frequency as heard by the listener?The frequency and speed of the sound is 200 Hz and 332ms^-1 [218.87 Hz]

Решения

Ответ