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  1. Jan 6, 2023 · When someone approaches a stationary source of sound with speed. The pitch of the sound from the source appears to be more than its actual pitch. As the observer goes away from the source, the observed frequency seems to be lower than the actual frequency of the sound from the source.

    • Calculating A Doppler Shift
    • Strategy
    • Solution
    • Significance

    Suppose a train that has a 150-Hz horn is moving at 35.0 m/s in still air on a day when the speed of sound is 340 m/s. (a) What frequencies are observed by a stationary person at the side of the tracks as the train approaches and after it passes? (b) What frequency is observed by the train’s engineer traveling on the train?

    To find the observed frequency in (a), we must use $$ {f}_{\text{obs}}={f}_{\text{s}}(\frac{v}{v\mp {v}_{\text{s}}}) $$ because the source is moving. The minus sign is used for the approaching train, and the plus sign for the receding train. In (b), there are two Doppler shifts—one for a moving source and the other for a moving observer.

    Enter known values into $$ {f}_{\text{o}}={f}_{\text{s}}(\frac{v}{v-{v}_{\text{s}}}):$$$${f}_{\text{o}}={f}_{\text{s}}(\frac{v}{v-{v}_{\text{s}}})=(150\,\text{Hz})(\frac{340\,\text{m/s}}{340\,\text...
    Identify knowns:

    For the case where the source and the observer are not moving together, the numbers calculated are valid when the source (in this case, the train) is far enough away that the motion is nearly along the line joining source and observer. In both cases, the shift is significant and easily noticed. Note that the shift is 17.0 Hz for motion toward and 1...

  2. Doppler effect in physics is defined as the increase (or decrease) in the frequency of sound, light, or other waves as the source and observer move towards (or away from) each other. Waves emitted by a source travelling towards an observer get compressed. In contrast, waves emitted by a source travelling away from an observer get stretched out.

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  3. What frequency will an individual at rest hear when the police car moves (a) toward her, or (b) away from her? The speed of sound is 340\,\rm m/s 340m/s, and the air is still. Solution: (a) Consider the following figure in which a police car with a siren approaches a person at rest from the left. Draw a vector from the siren to the person.

  4. Define Doppler effect, Doppler shift, and sonic boom. Calculate the frequency of a sound heard by someone observing Doppler shift. Describe the sounds produced by objects moving faster than the speed of sound. The characteristic sound of a motorcycle buzzing by is an example of the Doppler effect.

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  6. Define Doppler effect, Doppler shift, and sonic boom. Calculate the frequency of a sound heard by someone observing Doppler shift. Describe the sounds produced by objects moving faster than the speed of sound.

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