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

Pounds per square inch to Inches of mercury conversion table
Pounds per square inch [psi] Inches of mercury [inHg]
1 2.036021
2 4.072042
3 6.108063
4 8.144084
5 10.180105
6 12.216126
7 14.252147
8 16.288168
9 18.324189
10 20.36021

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 6894.757293 Pascal [Pa]
1 6.894757 Kilopascal [kPa]
1 51.714933 Millimeters of mercury [mmHg]