Convert Millimeters of mercury to Pounds per square inch
Unit definitions
Millimeters of mercury
mmHg is the global standard for measuring blood pressure. $P = \rho \cdot g \cdot h$ can be used to calculate the hydrostatic pressure exerted by a fluid. $$P = \rho \cdot g \cdot h$$ $\rho \approx 13\,595.1\ \text{kg/m}^3$ at $0^\circ\text{C}$ $$g = 9.806\,65\ \text{m/s}^2$$ $$h = 0.001\ \text{m}$$ $$1\ \text{mmHg} \approx 133.322\ \text{Pa}$$
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 Millimeters of mercury to Pounds per square inch
$$\text{Pressure}_{\text{psi}} = \text{Pressure}_{\text{mmHg}} \cdot 0.01933677470462295884934667389099307$$
Examples
Example 1
Convert $40.0\ \text{mmHg}$ to $\text{psi}$.
$$\text{Pressure}_{\text{psi}} = 40.0 \cdot 0.01933677470462295884934667389099307$$
$$\text{Pressure}_{\text{psi}} = 0.773471$$
$$\therefore \ 40.0\ \text{mmHg} = 0.773471 \ \text{psi}$$
Example 2
Convert $80.0\ \text{mmHg}$ to $\text{psi}$.
$$\text{Pressure}_{\text{psi}} = 80.0 \cdot 0.01933677470462295884934667389099307$$
$$\text{Pressure}_{\text{psi}} = 1.546942$$
$$\therefore \ 80.0\ \text{mmHg} = 1.546942 \ \text{psi}$$
Example 3
Convert $110.0\ \text{mmHg}$ to $\text{psi}$.
$$\text{Pressure}_{\text{psi}} = 110.0 \cdot 0.01933677470462295884934667389099307$$
$$\text{Pressure}_{\text{psi}} = 2.127045$$
$$\therefore \ 110.0\ \text{mmHg} = 2.127045 \ \text{psi}$$
Example 4
Convert $130.0\ \text{mmHg}$ to $\text{psi}$.
$$\text{Pressure}_{\text{psi}} = 130.0 \cdot 0.01933677470462295884934667389099307$$
$$\text{Pressure}_{\text{psi}} = 2.513781$$
$$\therefore \ 130.0\ \text{mmHg} = 2.513781 \ \text{psi}$$
Example 5
Convert $170.0\ \text{mmHg}$ to $\text{psi}$.
$$\text{Pressure}_{\text{psi}} = 170.0 \cdot 0.01933677470462295884934667389099307$$
$$\text{Pressure}_{\text{psi}} = 3.287252$$
$$\therefore \ 170.0\ \text{mmHg} = 3.287252 \ \text{psi}$$
Millimeters of mercury to Pounds per square inch conversion table
Convert Millimeters of mercury to other Pressure units
| Millimeters of mercury [mmHg] | Other unit |
|---|---|
| 1 | 133.322368 Pascal [Pa] |
| 1 | 0.133322 Kilopascal [kPa] |
| 1 | 0.03937 Inches of mercury [inHg] |