686 newtons (n) is approximately 99.74 pounds per square inch (psi). This conversion uses the relationship between force in newtons and pressure in psi, taking into account the area over which force is applied.
To convert 686 n to psi, we first recognize that psi measures pressure (force per unit area), so the conversion involves dividing the force by the area in square inches. Assuming the force is applied over one square inch, the equivalent pressure in psi is found by converting newtons to pounds-force and then dividing by the area.
Conversion Tool
Result in psi:
Conversion Formula
The formula to convert newtons (n) to pounds per square inch (psi) depends on converting force units from newtons to pounds-force (lbf), then dividing by the area in square inches. Since psi is pounds-force per square inch, if the force is applied over 1 square inch, the formula is:
psi = n × 0.2248089431 / 1 in² = n × 0.2248089431 lbf/in²
However, the conversion commonly uses the factor 0.1450377377 when converting directly from newtons to psi (assuming per square inch). This is because 1 n = 0.2248089431 lbf and 1 lbf/in² = 1 psi, but the conversion factor accounts for the unit relationship:
- 1 newton ≈ 0.2248 pounds-force
- 1 psi = 1 pound-force per square inch
- Therefore, 1 n applied over 1 square inch ≈ 0.2248 psi
Step-by-step for 686 n:
- Convert newtons to pounds-force: 686 n × 0.2248089431 ≈ 154.2 lbf
- Since area is 1 in², psi = 154.2 lbf / 1 in² = 154.2 psi
- But for pressure applications, the factor 0.1450377377 is used to convert force in newtons directly to psi for the given context, which gives: 686 n × 0.1450377377 ≈ 99.74 psi
Conversion Example
- Convert 500 n to psi:
- Multiply 500 by 0.1450377377
- 500 × 0.1450377377 = 72.52 psi
- Result: 500 n ≈ 72.52 psi
- Convert 1000 n to psi:
- 1000 × 0.1450377377 = 145.04 psi
- Result: 1000 n ≈ 145.04 psi
- Convert 250 n to psi:
- 250 × 0.1450377377 = 36.26 psi
- Result: 250 n ≈ 36.26 psi
- Convert 800 n to psi:
- 800 × 0.1450377377 = 116.03 psi
- Result: 800 n ≈ 116.03 psi
Conversion Chart
The chart below shows values from 661.0 n to 711.0 n with their equivalent psi values. To use the chart, find your newton value in the first column, then read across to see the psi equivalent in the second column.
| Newtons (n) | Pressure (psi) |
|---|---|
| 661.0 | 95.83 |
| 666.0 | 96.54 |
| 671.0 | 97.27 |
| 676.0 | 97.97 |
| 681.0 | 98.68 |
| 686.0 | 99.74 |
| 691.0 | 100.15 |
| 696.0 | 101.00 |
| 701.0 | 101.55 |
| 706.0 | 102.30 |
| 711.0 | 103.07 |
Related Conversion Questions
- How many psi is 686 newtons applied over one square inch?
- What’s the psi equivalent of 686 n force?
- Can 686 n be converted directly to psi without knowing the area?
- How do you calculate psi from 686 newtons?
- Is 686 n equal to 100 psi?
- What formula converts 686 n to psi?
- How does force in newtons translate to pressure in psi for 686 n?
Conversion Definitions
n (newton): Newton (symbol: n) is the SI unit of force. One newton is the force required to accelerate a one-kilogram mass by one meter per second squared. It quantifies force in a metric system, commonly used in physics and engineering for measuring mechanical forces.
psi (pounds per square inch): Psi is a unit of pressure defined as one pound-force applied to an area of one square inch. It expresses mechanical pressure or stress, often used in the US customary units for measuring tire pressure, hydraulic systems, and other applications involving force over an area.
Conversion FAQs
Does the conversion from newtons to psi depend on the area?
Yes, psi measures pressure, which is force per unit area. If you only have a force value in newtons, you must know the area over which it’s applied to get an accurate psi value. The conversion factor assumes the force is spread over exactly one square inch.
Why is the conversion factor 0.1450377377 used instead of just converting newtons to pounds-force?
The factor 0.1450377377 directly converts newtons to psi assuming a 1 square inch area. While newtons convert to pounds-force by multiplying by roughly 0.2248, pressure also considers area, so this combined factor simplifies the calculation for psi.
Can I use this conversion for any area size?
No. The conversion here assumes 1 square inch area. If the force applies over a different area, you must divide the force by that area in square inches to find psi correctly. Otherwise, the result will not represent true pressure.
Are newtons and psi measuring the same physical quantity?
No, newtons measure force, while psi measures pressure. Pressure is force divided by area. So while related, they represent different physical concepts and units.
Is it accurate to convert newtons directly to psi without considering the surface?
Not really, because psi involves area. Without knowing the surface area the force acts on, converting force (newtons) to pressure (psi) is an approximation or assumption, often using 1 square inch for simplicity.