Doppler Effect with Swinging Ball

[MMONISM]

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.

 

[Orodruin]

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.