Convert Pounds per square inch to Inches of mercury
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. $$1\ \text{psi} = \frac{1\ \text{lbf}}{1\ \text{in}^2}$$ $$1\ \text{in}^2 = 0.000\,645\,16\ \text{m}^2$$ $$1\ \text{psi} \approx 6\,894.76\ \text{Pa}$$
Inches of mercury
Pressure in inHg can be calculated using $P = \rho \cdot g \cdot h$. $$1\ \text{inHg} \approx 3\,386.39\ \text{Pa}$$
How to convert Pounds per square inch to Inches of mercury
$$\text{Pressure}_{\text{inHg}} = \text{Pressure}_{\text{psi}} \cdot 2.036020967382168400935335862212937$$
Examples
Example 1
Convert $30.0\ \text{psi}$ to $\text{inHg}$.
$$\text{Pressure}_{\text{inHg}} = 30.0 \cdot 2.036020967382168400935335862212937$$
$$\text{Pressure}_{\text{inHg}} = 61.080629$$
$$\therefore \ 30.0\ \text{psi} = 61.080629 \ \text{inHg}$$
Example 2
Convert $85.0\ \text{psi}$ to $\text{inHg}$.
$$\text{Pressure}_{\text{inHg}} = 85.0 \cdot 2.036020967382168400935335862212937$$
$$\text{Pressure}_{\text{inHg}} = 173.061782$$
$$\therefore \ 85.0\ \text{psi} = 173.061782 \ \text{inHg}$$
Example 3
Convert $105.0\ \text{psi}$ to $\text{inHg}$.
$$\text{Pressure}_{\text{inHg}} = 105.0 \cdot 2.036020967382168400935335862212937$$
$$\text{Pressure}_{\text{inHg}} = 213.782202$$
$$\therefore \ 105.0\ \text{psi} = 213.782202 \ \text{inHg}$$
Example 4
Convert $150.0\ \text{psi}$ to $\text{inHg}$.
$$\text{Pressure}_{\text{inHg}} = 150.0 \cdot 2.036020967382168400935335862212937$$
$$\text{Pressure}_{\text{inHg}} = 305.403145$$
$$\therefore \ 150.0\ \text{psi} = 305.403145 \ \text{inHg}$$
Example 5
Convert $160.0\ \text{psi}$ to $\text{inHg}$.
$$\text{Pressure}_{\text{inHg}} = 160.0 \cdot 2.036020967382168400935335862212937$$
$$\text{Pressure}_{\text{inHg}} = 325.763355$$
$$\therefore \ 160.0\ \text{psi} = 325.763355 \ \text{inHg}$$
Pounds per square inch to Inches of mercury conversion table
Convert Pounds per square inch to other Pressure units
| Pounds per square inch [psi] | Other unit |
|---|---|
| 1 | 6894.757293 Pascal [Pa] |
| 1 | 6.894757 Kilopascal [kPa] |
| 1 | 51.714933 Millimeters of mercury [mmHg] |