Wind shear is the change in wind speed or direction over a horizontal or vertical distance, and it creates a property called vorticity that measures atmospheric rotation tendency. Vertical wind shear can tilt and organize updrafts in storms, either enhancing rotation (favorable for tornadic supercells when shear is strong and tilts updrafts) or suppressing organization (when shear is excessive). Horizontal shear at boundaries like fronts also concentrates vorticity.
From your study of the Coriolis effect and geostrophic wind, you know that winds in the atmosphere are shaped by pressure gradients and Earth's rotation. Wind shear describes how these winds change across space — specifically, any difference in wind speed or direction between two nearby points. Vertical wind shear (change with altitude) is the more commonly discussed form: if surface winds blow from the south at 10 knots while winds at 6 km altitude blow from the west at 60 knots, there is strong speed and directional shear through that layer. Horizontal wind shear occurs along boundaries like fronts or coastlines where wind speed or direction changes sharply over a short horizontal distance.
Vorticity is the mathematical measure of rotation in a fluid, and wind shear is what creates it. Imagine placing a tiny paddlewheel in an airflow: if the wind on one side of the wheel is faster than the other, the wheel spins — that spin is vorticity. In the atmosphere, vorticity has two components. Relative vorticity is the rotation of the air relative to Earth's surface, generated by wind shear (both horizontal shear along boundaries and curvature of the flow around troughs and ridges). Planetary vorticity is the rotation contributed by Earth itself — the Coriolis parameter f, which you know increases with latitude. The sum of the two is absolute vorticity, and its conservation (as you may encounter in potential vorticity concepts) is a fundamental constraint on large-scale atmospheric flow.
For severe weather, vertical wind shear is the critical organizing mechanism. In an environment with no shear, a thunderstorm's updraft rises vertically, precipitation falls back through the updraft, and the storm quickly chokes itself off. With moderate vertical shear (roughly 15–25 m/s over the lowest 6 km), the updraft is tilted downshear so that precipitation falls away from the inflow region, allowing the storm to sustain itself for hours. When the shear also turns with height — veering shear, where winds shift clockwise from south at the surface to west aloft — the resulting horizontal vorticity can be tilted into the vertical by the updraft, creating a rotating updraft called a mesocyclone. This is the defining feature of a supercell thunderstorm, and it is the precursor to most significant tornadoes. Too little shear and storms cannot organize; too much shear and updrafts are torn apart before they can develop. The "sweet spot" of shear magnitude and directional turning is one of the most important parameters in severe weather forecasting.