Pressure and force are fundamental concepts in the fields of physics and engineering, often requiring precise conversions to ensure accuracy in calculations and applications. The PSI to Newtons calculator serves as an invaluable tool for converting pressure, measured in pounds per square inch (PSI), into force, measured in Newtons (N). This conversion is essential in various scientific, engineering, and industrial contexts, where understanding the force exerted by a given pressure is crucial for design, analysis, and safety assessments.
Formula of PSI to Newtons Calculator
To convert PSI to Newtons, the formula used is as follows:
Force (N) = Pressure (psi) x Area (sq in)
This formula embodies a simple yet fundamental principle of physics—that force is the product of pressure and the area over which that pressure is applied. Here’s a detailed breakdown of how it works:
- Multiply the pressure value in psi by the area in square inches to obtain the force in Newtons. The area can be calculated using the following formulas depending on the shape:
- Square:
Area = side x side(where “side” is the length of any side of the square, all sides being equal). - Rectangle:
Area = length x width(where “length” is one dimension of the rectangle and “width” is the other dimension). - Triangle:
Area = 1/2 x base x height(where “base” is any side of the triangle and “height” is the perpendicular distance from the base to the opposite vertex). - Circle:
Area = pi (π) x radius²(where “π” is a mathematical constant approximately equal to 3.14 and “radius” is the distance from the center of the circle to any point on the edge).
- Square:
By applying this formula, users can accurately convert PSI values to Newtons, facilitating the understanding and application of these measurements in practical scenarios.
General Terms Table
To further aid understanding and application, below is a table of general terms that are frequently searched or required. This table allows users to quickly reference common values without needing to perform calculations each time.
| Pressure (PSI) | Area (sq in) | Force (N) |
|---|---|---|
| 1 | 1 | 6.89475 |
| 10 | 1 | 68.9475 |
| 1 | 10 | 68.9475 |
| 5 | 5 | 172.36875 |
| 100 | 1 | 689.475 |
This table provides a quick reference for commonly encountered scenarios. Offering a convenient tool for users needing immediate conversions without the necessity for manual calculations.
Example of PSI to Newtons Calculator
Consider a scenario where you have a pressure of 30 PSI being apply to a rectangular area of 2 square inches. Using the formula:
Force (N) = Pressure (psi) x Area (sq in) = 30 x 2 = 60 PSI x sq in
Converting PSI x sq in to Newtons using the conversion factor:
Force (N) = 60 x 6.89475 = 413.685 N
Thus, the force exerted is 413.685 Newtons.
Most Common FAQs
PSI stands for pounds per square inch. It is a unit of pressure expressing the amount of force applied over one square inch of area.
You can convert PSI to Newtons by multiplying the pressure in PSI by the area in square inches over which the pressure is applied, using the formula: Force (N) = Pressure (psi) x Area (sq in).
This conversion is crucial in fields like physics, engineering, and various industrial applications. Where precise measurements of force are necessary for design, analysis, and safety assessments.