Doppler Ball 3B40.11
Oscillations and Waves Wave Motion Doppler Effect

Concept

The audience will hear the buzzer’s stationary frequency shifted up as the ball moves toward them, and down as the ball moves away. The shifted frequency is given by:

$$ f' = \frac{v}{v \pm v_s}f$$

where $v =$ 343 m/s , $\pm$ means source moves away from or toward the observer, and $f =$ 4.0 kHz. With the ball moving at $v_s \approx 5 \text{m}/\text{s}$, the frequency shift, although no more than a few percent, is still clearly perceived.

Procedure

  1. Unzip ball, turn on buzzer, and re-zip ball.
  2. Throw the ball a student located in the middle of the classroom.
  3. Have that student throw the ball to another student
  4. Ask the students to report whether they heard a higher or lower frequency than when the ball was stationary.
  5. Discuss the correlation between the motion/location of the ball and their reports of frequency changes.

Equipment

  1. Foam Ball
  2. Buzzer (4 kHz)