31.07.2022 - 20:47

A jogger hears a car alarm and decides to investigate. While running toward the car, she hears an alarm frequency of 869.5 Hz. After passing the car, she hears the alarm at a frequency of 845.5 Hz. If

Question:

A jogger hears a car alarm and decides to investigate. While running toward the car, she hears an alarm frequency of 869.5 Hz. After passing the car, she hears the alarm at a frequency of 845.5 Hz. If the speed of sound is 343 m/s, calculate the speed of the jogger. (Express your answer to three significant figures.)

Answers (0)
  • Sue
    April 9, 2023 в 23:33
    The jogger is essentially moving toward the sound waves emitted by the car alarm, causing the frequency to be higher, and then moving away from the sound waves, causing the frequency to be lower. This is known as the Doppler effect. Using the formula for the Doppler effect: f' = f (v ± vd) / (v ± vs) where f is the frequency of the sound, v is the speed of sound, vd is the velocity of the detector (jogger), vs is the velocity of the source (car), and ± is chosen depending on whether the detector and source are moving toward or away from each other. In this case, we can set up two equations: 869.5 Hz = f (343 m/s + vj) / (343 m/s - vcar) 845.5 Hz = f (343 m/s - vj) / (343 m/s - vcar) where vj is the velocity of the jogger and vcar is the velocity of the car. Solving for vj, we get: vj = (845.5 Hz * (343 m/s - vcar) - 869.5 Hz * (343 m/s + vcar)) / (845.5 Hz + 869.5 Hz) Plugging in the given frequencies and speed of sound, we can solve for vj: vj = 4.48 m/s (toward the car) Therefore, the speed of the jogger is \approx imately 4.48 m/s, or about 10 miles per hour.
Do you know the answer?

Leave a comment

Not sure about the answer?
Find the right answer to the question A jogger hears a car alarm and decides to investigate. While running toward the car, she hears an alarm frequency of 869.5 Hz. After passing the car, she hears the alarm at a frequency of 845.5 Hz. If by subject Physics, and if there is no answer or no one has given the right answer, then use the search and try to find the answer among similar questions.
Search for other answers
New questions in the category: Physics
Authorization
*
*

Password generation