Question
6. If the frequency of a "wave" in a sports crowd is . 05 Hz , find the period.
Ask by Stuart Parry. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The period of the wave is 20 seconds.
Solution
To find the period of a wave, we can use the formula:
\[ \text{Period} = \frac{1}{\text{Frequency}} \]
Given that the frequency of the wave is 0.05 Hz, we can substitute this value into the formula to find the period.
\[ \text{Period} = \frac{1}{0.05} \]
Let's calculate the period.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1}{0.05}\)
- step1: Convert the expressions:
\(\frac{1}{\frac{1}{20}}\)
- step2: Multiply by the reciprocal:
\(20\)
The period of the wave is 20 seconds.
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Simplify this solution Mind Expander
The period of a wave is the reciprocal of its frequency. In this case, with a frequency of 0.05 Hz, you can simply use the formula: Period (T) = 1 / Frequency (f). So, T = 1 / 0.05 = 20 seconds. That means, when people in a sports crowd wave their arms up and down every 20 seconds, they are creating a wave with a cycle lasting 20 seconds! Ever been to a sports event where the crowd starts a wave? That synchronized movement is similar to waves in physics. Each cycle of the wave is about 20 seconds, presenting a perfect opportunity for fans to cheer, jump, and enjoy the electrifying atmosphere. It's amazing how something so simple brings everyone together!
