Convert Pounds per square inch to Kilopascal
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. $$1\ \text{psi} = \frac{1\ \text{lbf}}{1\ \text{in}^2}$$ $$1\ \text{in}^2 = 0.000\,645\,16\ \text{m}^2$$ $$1\ \text{psi} \approx 6\,894.76\ \text{Pa}$$
Kilopascal
One kilopascal equals $10^3$ pascals.
How to convert Pounds per square inch to Kilopascal
$$\text{Pressure}_{\text{kPa}} = \text{Pressure}_{\text{psi}} \cdot 6.894757293168361336722673445346891$$
Examples
Example 1
Convert $50.0\ \text{psi}$ to $\text{kPa}$.
$$\text{Pressure}_{\text{kPa}} = 50.0 \cdot 6.894757293168361336722673445346891$$
$$\text{Pressure}_{\text{kPa}} = 344.737865$$
$$\therefore \ 50.0\ \text{psi} = 344.737865 \ \text{kPa}$$
Example 2
Convert $60.0\ \text{psi}$ to $\text{kPa}$.
$$\text{Pressure}_{\text{kPa}} = 60.0 \cdot 6.894757293168361336722673445346891$$
$$\text{Pressure}_{\text{kPa}} = 413.685438$$
$$\therefore \ 60.0\ \text{psi} = 413.685438 \ \text{kPa}$$
Example 3
Convert $120.0\ \text{psi}$ to $\text{kPa}$.
$$\text{Pressure}_{\text{kPa}} = 120.0 \cdot 6.894757293168361336722673445346891$$
$$\text{Pressure}_{\text{kPa}} = 827.370875$$
$$\therefore \ 120.0\ \text{psi} = 827.370875 \ \text{kPa}$$
Example 4
Convert $145.0\ \text{psi}$ to $\text{kPa}$.
$$\text{Pressure}_{\text{kPa}} = 145.0 \cdot 6.894757293168361336722673445346891$$
$$\text{Pressure}_{\text{kPa}} = 999.739808$$
$$\therefore \ 145.0\ \text{psi} = 999.739808 \ \text{kPa}$$
Example 5
Convert $190.0\ \text{psi}$ to $\text{kPa}$.
$$\text{Pressure}_{\text{kPa}} = 190.0 \cdot 6.894757293168361336722673445346891$$
$$\text{Pressure}_{\text{kPa}} = 1310.003886$$
$$\therefore \ 190.0\ \text{psi} = 1310.003886 \ \text{kPa}$$
Pounds per square inch to Kilopascal conversion table
Convert Pounds per square inch to other Pressure units
| Pounds per square inch [psi] | Other unit |
|---|---|
| 1 | 6894.757293 Pascal [Pa] |
| 1 | 51.714933 Millimeters of mercury [mmHg] |
| 1 | 2.036021 Inches of mercury [inHg] |