Unit definitions

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. $$1\ \text{psi} = \frac{1\ \text{lbf}}{1\ \text{in}^2}$$ $$1\ \text{in}^2 = 0.000\,645\,16\ \text{m}^2$$ $$1\ \text{psi} \approx 6\,894.76\ \text{Pa}$$

Pascal

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

How to convert Pounds per square inch to Pascal

$$\text{Pressure}_{\text{Pa}} = \text{Pressure}_{\text{psi}} \cdot 6894.757293168361336722673445346891$$

Examples

Example 1

Convert $30.0\ \text{psi}$ to $\text{Pa}$.

$$\text{Pressure}_{\text{Pa}} = 30.0 \cdot 6894.757293168361336722673445346891$$

$$\text{Pressure}_{\text{Pa}} = 206842.718795$$

$$\therefore \ 30.0\ \text{psi} = 206842.718795 \ \text{Pa}$$

Example 2

Convert $60.0\ \text{psi}$ to $\text{Pa}$.

$$\text{Pressure}_{\text{Pa}} = 60.0 \cdot 6894.757293168361336722673445346891$$

$$\text{Pressure}_{\text{Pa}} = 413685.43759$$

$$\therefore \ 60.0\ \text{psi} = 413685.43759 \ \text{Pa}$$

Example 3

Convert $120.0\ \text{psi}$ to $\text{Pa}$.

$$\text{Pressure}_{\text{Pa}} = 120.0 \cdot 6894.757293168361336722673445346891$$

$$\text{Pressure}_{\text{Pa}} = 827370.87518$$

$$\therefore \ 120.0\ \text{psi} = 827370.87518 \ \text{Pa}$$

Example 4

Convert $150.0\ \text{psi}$ to $\text{Pa}$.

$$\text{Pressure}_{\text{Pa}} = 150.0 \cdot 6894.757293168361336722673445346891$$

$$\text{Pressure}_{\text{Pa}} = 1034213.593975$$

$$\therefore \ 150.0\ \text{psi} = 1034213.593975 \ \text{Pa}$$

Example 5

Convert $190.0\ \text{psi}$ to $\text{Pa}$.

$$\text{Pressure}_{\text{Pa}} = 190.0 \cdot 6894.757293168361336722673445346891$$

$$\text{Pressure}_{\text{Pa}} = 1310003.885702$$

$$\therefore \ 190.0\ \text{psi} = 1310003.885702 \ \text{Pa}$$

Pounds per square inch to Pascal conversion table

Pounds per square inch to Pascal conversion table

Pounds per square inch [psi]	Pascal [Pa]
1	6894.757293
2	13789.514586
3	20684.27188
4	27579.029173
5	34473.786466
6	41368.543759
7	48263.301052
8	55158.058345
9	62052.815639
10	68947.572932

Convert Pounds per square inch to other Pressure units

Convert Pounds per square inch to other Pressure units

Pounds per square inch [psi]	Other unit
1	6.894757 Kilopascal [kPa]
1	51.714933 Millimeters of mercury [mmHg]
1	2.036021 Inches of mercury [inHg]