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

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 $0^\circ\text{C}$ $$g = 9.806\,65\ \text{m/s}^2$$ $$h = 0.001\ \text{m}$$ $$1\ \text{mmHg} \approx 133.322\ \text{Pa}$$

How to convert Pounds per square inch to Millimeters of mercury

$$\text{Pressure}_{\text{mmHg}} = \text{Pressure}_{\text{psi}} \cdot 51.71493257150707738375753090020861$$

Examples

Example 1

Convert $50.0\ \text{psi}$ to $\text{mmHg}$.

$$\text{Pressure}_{\text{mmHg}} = 50.0 \cdot 51.71493257150707738375753090020861$$

$$\text{Pressure}_{\text{mmHg}} = 2585.746629$$

$$\therefore \ 50.0\ \text{psi} = 2585.746629 \ \text{mmHg}$$

Example 2

Convert $90.0\ \text{psi}$ to $\text{mmHg}$.

$$\text{Pressure}_{\text{mmHg}} = 90.0 \cdot 51.71493257150707738375753090020861$$

$$\text{Pressure}_{\text{mmHg}} = 4654.343931$$

$$\therefore \ 90.0\ \text{psi} = 4654.343931 \ \text{mmHg}$$

Example 3

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

$$\text{Pressure}_{\text{mmHg}} = 120.0 \cdot 51.71493257150707738375753090020861$$

$$\text{Pressure}_{\text{mmHg}} = 6205.791909$$

$$\therefore \ 120.0\ \text{psi} = 6205.791909 \ \text{mmHg}$$

Example 4

Convert $135.0\ \text{psi}$ to $\text{mmHg}$.

$$\text{Pressure}_{\text{mmHg}} = 135.0 \cdot 51.71493257150707738375753090020861$$

$$\text{Pressure}_{\text{mmHg}} = 6981.515897$$

$$\therefore \ 135.0\ \text{psi} = 6981.515897 \ \text{mmHg}$$

Example 5

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

$$\text{Pressure}_{\text{mmHg}} = 190.0 \cdot 51.71493257150707738375753090020861$$

$$\text{Pressure}_{\text{mmHg}} = 9825.837189$$

$$\therefore \ 190.0\ \text{psi} = 9825.837189 \ \text{mmHg}$$

Pounds per square inch to Millimeters of mercury conversion table

Pounds per square inch to Millimeters of mercury conversion table

Pounds per square inch [psi]	Millimeters of mercury [mmHg]
1	51.714933
2	103.429865
3	155.144798
4	206.85973
5	258.574663
6	310.289595
7	362.004528
8	413.719461
9	465.434393
10	517.149326

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	2.036021 Inches of mercury [inHg]