how to convert Newton per meter square to pascal
The correct answer and explanation is:
To convert Newton per meter square (N/m²) to pascal (Pa), it is important to understand that both units measure pressure. In fact, a pascal is defined as one newton per meter square. This means that 1 N/m² is exactly equal to 1 pascal (1 N/m² = 1 Pa).
Explanation
Pressure is the force applied per unit area. The basic formula for pressure (P) is:
P=FAP = \frac{F}{A}
Where:
- PP is the pressure,
- FF is the force applied, and
- AA is the area over which the force is applied.
The unit of force in the International System of Units (SI) is the newton (N), and the unit of area is the square meter (m²). Therefore, the unit of pressure can be written as newtons per square meter, or N/m².
A pascal (Pa) is also defined as the unit of pressure in the SI system, and it is specifically defined as one newton per square meter (1 Pa = 1 N/m²). Since the two units are defined in exactly the same way, there is no need for any complex calculation or conversion.
Thus, if you have a pressure of 5 N/m², this is exactly 5 pascals (5 Pa), and similarly, 1000 N/m² would be 1000 pascals (1000 Pa).
This direct equivalence makes converting between these two units very straightforward. Simply put, the number of newtons per square meter is the same as the number of pascals, and the conversion factor is exactly 1. Therefore, you can confidently use N/m² and Pa interchangeably when measuring pressure.