Problem

Question 4
5 pts
Olympic gold medalist snowboarder Chloe Kim performs her halfpipe run in about 25 seconds by riding back and forth between the two walls of the halfpipe three times, as shown. If we describe this as an oscillation between the two walls of the halfpipe, what is her frequency?
$0.24 \mathrm{~Hz}$
$3.0 \mathrm{~Hz}$
$0.12 \mathrm{~Hz}$
$8.3 \mathrm{~Hz}$

Answer

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Answer

Final Answer: The frequency of Chloe Kim's oscillations is \(\boxed{0.12 \mathrm{~Hz}}\).

Steps

Step 1 :The frequency of an oscillation is defined as the number of oscillations per unit time. In this case, Chloe Kim performs 3 oscillations in 25 seconds.

Step 2 :Let's denote the number of oscillations as \(n\) and the time taken as \(t\). In this case, \(n = 3\) and \(t = 25\) seconds.

Step 3 :The frequency can be calculated by dividing the number of oscillations by the time taken. This can be represented as \(f = \frac{n}{t}\).

Step 4 :Substituting the given values into the formula, we get \(f = \frac{3}{25} = 0.12\).

Step 5 :Final Answer: The frequency of Chloe Kim's oscillations is \(\boxed{0.12 \mathrm{~Hz}}\).

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