Two car drive along the same road towards each other one at 15m/s and the other 12 m/s. Each car horn sounds at 256 hz. Calculate the feqency of driver of each car?
Your wording makes little sense. I think you mean what does each driver hear. The answer to that is the beat frequency between the car's sound and the incoming doppler frequency. Each driver is a "listner" when computing the doppler she hears.
Freqheard= (speed sound+ speed listner)*freqsource/(speedsound+speedsource)
so for each listner, calculate that, and then beat it with the freq listner to get the beat frequence heard.
Nigie
teacher
teaching
To calculate the frequency heard by each driver, we need to understand the concept of relative motion.
When two objects are moving towards each other, the frequency observed by an observer on one object will be different from the actual frequency emitted by the other object due to the Doppler effect.
The formula to calculate the observed frequency (f') is given by:
f' = (v + v₀) / (v - v₁) * f
Where:
- f' is the observed frequency
- f is the actual frequency emitted by the source
- v is the velocity of sound in air (approximately 343 m/s at room temperature)
- v₀ is the velocity of the observer
- v₁ is the velocity of the source
In this case, as both cars are moving towards each other, the observer's velocity is the sum of the velocities of both cars. Let's calculate the observed frequency for each car:
For the first car:
- v₀ = 15 m/s (velocity of the second car)
- v₁ = -12 m/s (negative because it is moving towards the first car)
- f = 256 Hz (actual frequency of both cars)
Substituting the values into the formula:
f'₁ = (343 + 15) / (343 - (-12)) * 256 Hz
= 358 / 355 * 256 Hz
≈ 258.16 Hz
For the second car:
- v₀ = 12 m/s (velocity of the first car)
- v₁ = -15 m/s (negative because it is moving towards the second car)
- f = 256 Hz (actual frequency of both cars)
Substituting the values into the formula:
f'₂ = (343 + 12) / (343 - (-15)) * 256 Hz
= 355 / 358 * 256 Hz
≈ 253.63 Hz
Therefore, the frequency heard by the first driver is approximately 258.16 Hz, and the frequency heard by the second driver is approximately 253.63 Hz.