by Introduction
Unit conversion is essential in physics, engineering, and applied sciences. One such conversion involves transforming kilogram meter per second (kg·m/s) to Newton hour (N·h). This article will guide you through the step-by-step method of converting 66.7 kg·m/s to Newton hour using the correct formula.
Units
Before proceeding with the conversion, let’s break down the units involved:
- Kilogram meter per second (kg·m/s) – This is the unit of linear momentum in physics, defined as mass multiplied by velocity.
- Newton (N) – The SI unit of force, where 1 N = 1 kg·m/s².
- Newton hour (N·h) – A unit obtained by multiplying force (N) by time (hour), commonly used in various engineering applications.
Conversion Formula
To convert kg·m/s to N·h, we follow these steps:
- Recall that Newton (N) is defined as:
- Determine the relationship between time units: Since 1 hour (h) = 3600 seconds (s), we use this as a conversion factor.
- Express the momentum in Newton-seconds (N·s): Since 1 N·s = 1 kg·m/s, the given value of 66.7 kg·m/s is also 66.7 N·s.
- Convert Newton-seconds (N·s) to Newton-hour (N·h):Simplifying:
Final Answer
Thus, the conversion of 66.7 kg·m/s to Newton hour is 0.01853 N·h.
Conclusion
Understanding and performing unit conversions is crucial in scientific calculations. In this case, we converted 66.7 kg·m/s to Newton hour (N·h) by recognizing fundamental relationships between force, time, and momentum. This method ensures accuracy in various practical applications, including mechanics and engineering calculations.
