Question

conducting an experiment with a slinky. they are making measurements and determining the frequency and period. consider two of the cases below. in which case did they vibrate the slinky with the greatest frequency?

case a

of vibrations: 10

time (seconds): 16.2

case b

of vibrations: 10

time (seconds): 13.8

the case with the greatest frequency is case: a (with a check answer button and other interface elements like help me!, view directions, to main menu on the side)

Explanation:

Step1: Define frequency formula

Frequency $f = \frac{\text{Number of Vibrations}}{\text{Time}}$

Step2: Calculate Case A frequency

$f_A = \frac{10}{16.2} \approx 0.617$ Hz

Step3: Calculate Case B frequency

$f_B = \frac{10}{13.8} \approx 0.725$ Hz

Step4: Compare the two frequencies

$0.725 > 0.617$, so $f_B > f_A$

Answer:

Case B has the greatest frequency.