Doppler Effect with Swinging Ball

In summary: Therefore, the maximum frequency heard would be equal to the original frequency of 594 Hz. In summary, the maximum frequency heard by the person swinging the ball is equal to the original frequency of 594 Hz due to the constant velocity of the ball and the perpendicular motion of the source.
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MMONISM
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Homework Statement


A ball (like the one used in lectures) generating a sound with a frequency of 594 Hz is swung around in a large circle with a radius of 1.49 m. The time it takes the ball to travel around one complete circle is measured and found to be 0.96 s. the speed of sound in air is 343 ms-1.
What is the maximum frequency heard by the person swinging the ball?

Homework Equations


f'=f(c+v0)/(c-vs)

The Attempt at a Solution


As the velocity of the ball (sound source) is constant in magnitude relate to the person and it is perpendicular to the line connect the person and sound source. Therefore maxf = 594 Hz which is the frequency of the original sound wave? am I correct ? Thanks in advance.
 
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MMONISM said:

Homework Statement


A ball (like the one used in lectures) generating a sound with a frequency of 594 Hz is swung around in a large circle with a radius of 1.49 m. The time it takes the ball to travel around one complete circle is measured and found to be 0.96 s. the speed of sound in air is 343 ms-1.
What is the maximum frequency heard by the person swinging the ball?

Homework Equations


f'=f(c+v0)/(c-vs)

The Attempt at a Solution


As the velocity of the ball (sound source) is constant in magnitude relate to the person and it is perpendicular to the line connect the person and sound source. Therefore maxf = 594 Hz which is the frequency of the original sound wave? am I correct ? Thanks in advance.

Yes. For perpendicular motion, there is no Doppler shift. The assumption here is that the person swinging the ball is in the very center of the circle.
 
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FAQ: Doppler Effect with Swinging Ball

1. What is the Doppler Effect?

The Doppler Effect is a phenomenon in physics where the frequency and wavelength of a wave appear to change when the source of the wave is in motion relative to the observer. This effect is commonly experienced with sound waves, but it also applies to other types of waves such as light and water waves.

2. How does the Doppler Effect apply to a swinging ball?

When a ball is swinging back and forth, it is creating a wave of motion. As the ball moves towards the observer, the waves are compressed, resulting in a higher frequency and shorter wavelength. As the ball moves away from the observer, the waves are stretched, resulting in a lower frequency and longer wavelength.

3. How can the Doppler Effect be observed with a swinging ball?

To observe the Doppler Effect with a swinging ball, the observer must be stationary and the ball must be in motion. As the ball swings towards the observer, the sound waves created by the ball will have a higher pitch. As the ball swings away from the observer, the sound waves will have a lower pitch.

4. How is the frequency of the ball's swinging motion affected by the Doppler Effect?

The frequency of the ball's swinging motion remains constant, but the perceived frequency as heard by the observer will change due to the Doppler Effect. As the ball moves towards the observer, the frequency appears to increase, and as the ball moves away from the observer, the frequency appears to decrease.

5. What other factors can affect the Doppler Effect with a swinging ball?

The speed of the ball's swinging motion, the distance between the ball and the observer, and the speed of sound can all impact the observed frequency due to the Doppler Effect. Additionally, the direction and angle of the swinging motion can also affect the perceived frequency.

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