# vertical_velocity_pressure¶

metpy.calc.vertical_velocity_pressure(w, pressure, temperature, mixing_ratio=0)

Calculate omega from w assuming hydrostatic conditions.

This function converts vertical velocity with respect to height $$\left(w = \frac{Dz}{Dt}\right)$$ to that with respect to pressure $$\left(\omega = \frac{Dp}{Dt}\right)$$ assuming hydrostatic conditions on the synoptic scale. By Equation 7.33 in [Hobbs2006],

$\omega \simeq -\rho g w$

Density ($$\rho$$) is calculated using the density() function, from the given pressure and temperature. If mixing_ratio is given, the virtual temperature correction is used, otherwise, dry air is assumed.

Parameters
Returns

pint.Quantity – Vertical velocity in terms of pressure (in Pascals / second)