What is the sampling frequency if one sample is taken every 0.5 seconds?
Understand the Problem
The question is asking us to calculate the sampling frequency based on the time interval between samples, which is 0.5 seconds. To find the frequency in Hertz (Hz), we can use the formula: frequency = 1 / time interval. In this case, the calculation would be 1 / 0.5 seconds.
Answer
The sampling frequency is $2 \text{ Hz}$.
Answer for screen readers
The sampling frequency is 2 Hz.
Steps to Solve
-
Identify the formula for frequency
We use the formula for frequency, which is given by:
$$ \text{frequency} = \frac{1}{\text{time interval}} $$ -
Insert the time interval into the formula
We know the time interval is 0.5 seconds. So we substitute this value into the formula:
$$ \text{frequency} = \frac{1}{0.5 \text{ seconds}} $$ -
Perform the calculation
Now we can calculate the value:
$$ \text{frequency} = \frac{1}{0.5} = 2 \text{ Hz} $$
The sampling frequency is 2 Hz.
More Information
The sampling frequency indicates how many samples are taken per second. In this case, a sampling frequency of 2 Hz means that two samples are taken every second.
Tips
- Confusing time interval with frequency; remember that frequency is the inverse of the time interval.
- Incorrectly performing the division; ensure that you understand how to divide by fractions.
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