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A train traveling at 82.8 kilometers per hour is blowing its horn as it approaches you. The horn has a frequency of 312 Hz. Assume the speed of the sound is 331 m/s. What is the observed frequency of the horn?
335 Hz
312 Hz
292 Hz
412 Hz

Respuesta :

JcAlmighty
The answer is 335 Hz.

To calculate this, we will use the following formula:
f₀ = f × v ÷ (v - v₁)
where:
f₀ - frequency heard
f - actual frequency
v - speed of sound
v₁ - speed of source

We know:
f = 312 Hz
v = 331 m/s
v₁ = 82.8 km/h = 23 m/s

We need:
f₀ = ?

f₀ = f × v ÷ (v - v₁)
⇒ f₀ = 312 Hz x 331 m/s ÷ (331 m/s - 23 m/s)
⇒ f₀ = 312 Hz × 331 m/s ÷ 308 m/s
⇒ f₀ = 335.3 Hz ≈ 335 Hz

Thus, the frequency of the horn is 335 Hz.

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