Converting units of time is a fundamental skill in both everyday life and scientific calculations. One such conversion is turning extremely small units, like nanoseconds, into larger units such as hours. In this article, we will take you through the step-by-step process of converting 83.56 nanoseconds into hours.
Understanding the Units of Time
Before diving into the conversion process, let’s clarify what nanoseconds and hours represent:
- Nanosecond (ns): A nanosecond is one-billionth of a second, or 10−910^{-9}10−9 seconds.
- Hour (hr): An hour is a unit of time that represents 60 minutes, or 3,600 seconds.
Step 1: Identify the Conversion Factor
To convert nanoseconds to hours, we need to establish the relationship between the two units. We know the following:
- 1 second = 1,000,000,000 nanoseconds (or 10910^9109 nanoseconds)
- 1 hour = 3,600 seconds
Therefore, to convert nanoseconds to hours, we need to use both of these conversion factors.
Step 2: Convert Nanoseconds to Seconds
Start by converting 83.56 nanoseconds into seconds. Since 1 second equals 1 billion (or 10910^9109) nanoseconds, we use the following formula:Seconds=Nanoseconds109\text{Seconds} = \frac{\text{Nanoseconds}}{10^9}Seconds=109Nanoseconds
Substitute the value for nanoseconds:Seconds=83.56109=8.356×10−8 seconds\text{Seconds} = \frac{83.56}{10^9} = 8.356 \times 10^{-8} \text{ seconds}Seconds=10983.56=8.356×10−8 seconds
Step 3: Convert Seconds to Hours
Next, we convert the value in seconds to hours. We know that 1 hour is equal to 3,600 seconds. To convert from seconds to hours, use the formula:Hours=Seconds3,600\text{Hours} = \frac{\text{Seconds}}{3,600}Hours=3,600Seconds
Substitute the value for seconds:Hours=8.356×10−83,600=2.32×10−11 hours\text{Hours} = \frac{8.356 \times 10^{-8}}{3,600} = 2.32 \times 10^{-11} \text{ hours}Hours=3,6008.356×10−8=2.32×10−11 hours
Final Result
Therefore, 83.56 nanoseconds is equivalent to approximately 2.32×10−112.32 \times 10^{-11}2.32×10−11 hours.
Conclusion
Converting very small units of time like nanoseconds into larger units such as hours can be a helpful skill in many technical fields, including physics and computer science. By following this step-by-step process, you can easily make these conversions and better understand the relative scale of time across different units.