Question
7. If the period of a ripple of water is 125 ms , find the frequency.
Ask by Donnelly Hardy. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The frequency of the ripple is 8 Hz.
Solution
To find the frequency of a ripple in water, we can use the relationship between period and frequency. The formula is:
\[
f = \frac{1}{T}
\]
where:
- \( f \) is the frequency (in Hz),
- \( T \) is the period (in seconds).
Given that the period \( T \) is 125 ms, we first need to convert milliseconds to seconds:
\[
T = 125 \, \text{ms} = 125 \times 10^{-3} \, \text{s} = 0.125 \, \text{s}
\]
Now we can substitute this value into the formula to find the frequency:
\[
f = \frac{1}{0.125}
\]
Now, let's calculate the frequency.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1}{0.125}\)
- step1: Convert the expressions:
\(\frac{1}{\frac{1}{8}}\)
- step2: Multiply by the reciprocal:
\(8\)
The frequency \( f \) of the ripple is:
\[
f = 8 \, \text{Hz}
\]
Thus, the frequency of the ripple of water is 8 Hz.
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Simplify this solution Mind Expander
To find the frequency, we can use the formula: frequency (f) = 1 / period (T). In this case, the period is given as 125 ms, which is 0.125 seconds. So, calculating frequency gives us f = 1 / 0.125 = 8 Hz. That's right! The water ripple has a frequency of 8 cycles per second! When you think of ripples in water, imagine tossing a pebble into a pond. Each ripple represents a wave moving outward. This connection between period and frequency not only helps in physics but is also vital in music and sound, where different frequencies produce various tones. So next time you hear a sound, remember, it’s simply waves dancing through the air!
