# Planck Mass

on . Posted in Relativity

Planck mass, abbreviated as $$m_p$$, is the fundamental unit in the system of Planck units.  It is derived from using dimensional analysis of the nost fundimental universal constants, universal gravitational constant divided by the speed of light.  It is a useful unit in theoretical physics.

• $$\large{ m_p = 2.176, 435 \;x\;10^{-8}\;kg }$$

## Planck Mass Formula

$$\large{ m_p = \sqrt{ \frac{ h\;c } { G } } }$$
Symbol English Metric
$$\large{ m_p }$$ = Planck mass $$\large{lbm}$$ $$\large{kg}$$
$$\large{ G }$$ = gravitational constant $$\large{\frac{lbf-ft^2}{lbm^2}}$$  $$\large{\frac{N - m^2}{kg^2}}$$
$$\large{ h }$$ = Planck constant $$\large{\frac{lbf-ft}{sec}}$$ $$\large{J-s}$$
$$\large{ c }$$ = speed of light in vacuum  $$\large{\frac{ft}{sec}}$$  $$\large{\frac{m}{s}}$$

Tags: Magnetic Equations