20ms to Hz
Understand the Problem
The question is asking how to convert a time period (20 milliseconds) to frequency measured in hertz. The approach involves using the relationship that frequency (in hertz) is the inverse of the time period (in seconds). In this case, the frequency can be calculated by taking the reciprocal of the time period in seconds.
Answer
$50 \text{ Hz}$
Answer for screen readers
The frequency is $50 \text{ Hz}$.
Steps to Solve
- Convert milliseconds to seconds
To convert the time period from milliseconds to seconds, we divide by 1000.
$$ T = \frac{20 \text{ milliseconds}}{1000} = 0.02 \text{ seconds} $$
- Calculate frequency
Now that we have the time period in seconds, we can calculate the frequency using the formula:
$$ f = \frac{1}{T} $$
Substituting for $T$:
$$ f = \frac{1}{0.02} = 50 \text{ Hz} $$
- Final Answer
The frequency in hertz (Hz) is the result of our calculation.
The frequency is $50 \text{ Hz}$.
More Information
The frequency represents the number of cycles per second of a periodic signal. In this case, a time period of 20 milliseconds corresponds to a frequency of 50 hertz, meaning the event occurs 50 times in one second.
Tips
- Incorrect conversion of milliseconds to seconds: Always remember to divide by 1000 when converting milliseconds to seconds.
- Not using the correct formula for frequency: Make sure to use $f = \frac{1}{T}$ where $T$ is in seconds.
