Unit definitions

Pascal

The pascal is the SI unit of pressure. It is defined as one newton per square meter.

Pounds per square inch

One psi equals one pound (avoirdupois) force applied to an area of one square inch. Pound force can be derived as follows. $$F = m \cdot a$$ $$a = g = 9.806\,65\ \text{m/s}^2$$ $$m = 1\ \text{lb}$$ $$1\ \text{lb} = 0.453\,592\,37\ \text{kg}$$ $$1\ \text{lbf} = 0.453\,592\,37 \ \text{kg} \times 9.806\,65 \ \text{m/s}^2$$ $$1\ \text{lbf} \approx 4.448\,222 \ \text{N}$$ After dividing by the area of one square inch, we get the following. $$1\ \text{psi} = \frac{1\ \text{lbf}}{1\ \text{in}^2}$$ $$1\ \text{in}^2 = 0.000\,645\,16\ \text{m}^2$$ $$1\ \text{psi} \approx 6\,894.76\ \text{Pa}$$

How to convert Pascal to Pounds per square inch

$$\text{Pressure}_{\text{psi}} = \text{Pressure}_{\text{Pa}} \cdot 0.0001450377377302092151542410279511940$$

Examples

Example 1

Convert $25.0\ \text{Pa}$ to $\text{psi}$.

$$\text{Pressure}_{\text{psi}} = 25.0 \cdot 0.0001450377377302092151542410279511940$$

$$\text{Pressure}_{\text{psi}} = 0.003626$$

$$\therefore \ 25.0\ \text{Pa} = 0.003626 \ \text{psi}$$

Example 2

Convert $90.0\ \text{Pa}$ to $\text{psi}$.

$$\text{Pressure}_{\text{psi}} = 90.0 \cdot 0.0001450377377302092151542410279511940$$

$$\text{Pressure}_{\text{psi}} = 0.013053$$

$$\therefore \ 90.0\ \text{Pa} = 0.013053 \ \text{psi}$$

Example 3

Convert $115.0\ \text{Pa}$ to $\text{psi}$.

$$\text{Pressure}_{\text{psi}} = 115.0 \cdot 0.0001450377377302092151542410279511940$$

$$\text{Pressure}_{\text{psi}} = 0.016679$$

$$\therefore \ 115.0\ \text{Pa} = 0.016679 \ \text{psi}$$

Example 4

Convert $145.0\ \text{Pa}$ to $\text{psi}$.

$$\text{Pressure}_{\text{psi}} = 145.0 \cdot 0.0001450377377302092151542410279511940$$

$$\text{Pressure}_{\text{psi}} = 0.02103$$

$$\therefore \ 145.0\ \text{Pa} = 0.02103 \ \text{psi}$$

Example 5

Convert $175.0\ \text{Pa}$ to $\text{psi}$.

$$\text{Pressure}_{\text{psi}} = 175.0 \cdot 0.0001450377377302092151542410279511940$$

$$\text{Pressure}_{\text{psi}} = 0.025382$$

$$\therefore \ 175.0\ \text{Pa} = 0.025382 \ \text{psi}$$

Pascal to Pounds per square inch conversion table

Pascal to Pounds per square inch conversion table

Pascal [Pa]	Pounds per square inch [psi]
1	0.000145
2	0.00029
3	0.000435
4	0.00058
5	0.000725
6	0.00087
7	0.001015
8	0.00116
9	0.001305
10	0.00145

Convert Pascal to other Pressure units

Convert Pascal to other Pressure units

Pascal [Pa]	Other unit
1	0.001 Kilopascal [kPa]
1	0.007501 Millimeters of mercury [mmHg]
1	0.000295 Inches of mercury [inHg]