A jogger hears a car alarm and decides to investigate. While running toward the car, she hears an alarm frequency of 872.10 Hz. After passing the car, she hears the alarm at a frequency of 850.10 Hz. If the speed of sound is 343 m/s. "Calculate the speed of the jogger. (Express your answer to three significant figures.) m
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
![### Problem Statement
A jogger hears a car alarm and decides to investigate. While running toward the car, she hears an alarm frequency of 872.10 Hz. After passing the car, she hears the alarm at a frequency of 850.10 Hz. If the speed of sound is 343 m/s:
1. **Calculate the speed of the jogger.**
*(Express your answer to three significant figures.)*
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**Frequency While Approaching:** 872.10 Hz
**Frequency After Passing:** 850.10 Hz
**Speed of Sound:** 343 m/s
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**Interactive Section for Submitting Answer:**
Please Enter Calculated Speed: [__________] m/s
[Submit]
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This exercise involves applying the Doppler Effect to solve for the jogger's speed as she approaches and then moves away from the source of the sound (the car alarm). The Doppler Effect describes the change in frequency of a wave in relation to an observer moving relative to the wave source.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9249aa06-e6e0-496d-ad0f-b52b0ed43e24%2Fdbee3535-1a9d-4278-b6ed-8a05175c30ac%2Fl7ou5xq_processed.jpeg&w=3840&q=75)
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