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anna litical and noah formula are conducting an experiment with a slink…

Question

anna litical and noah formula are 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 period?
case a

of vibrations: 10

time (seconds): 13.8
case b

of vibrations: 10

time (seconds): 16.2
the case with the greatest period is case: tap me!

Explanation:

Step1: Define period formula

Period $T = \frac{\text{Total Time}}{\text{Number of Vibrations}}$

Step2: Calculate Case A period

$T_A = \frac{13.8}{10} = 1.38$ seconds

Step3: Calculate Case B period

$T_B = \frac{16.2}{10} = 1.62$ seconds

Step4: Compare the two periods

$1.62 > 1.38$, so Case B has a greater period.

Answer:

Case B