[T]⁻¹

Here's the breakdown:

* Velocity: [L][T]⁻¹ (length per unit time)

* Gradient: [L]⁻¹ (change in a quantity per unit length)

Therefore, velocity gradient is:

[L][T]⁻¹ / [L] = [T]⁻¹

This means that velocity gradient is expressed in units of per unit time. Common units for velocity gradient include:

* s⁻¹ (per second)

* Hz (Hertz, also per second)

Intuitively: Velocity gradient represents how quickly the velocity is changing over a certain distance. A higher velocity gradient means a faster change in velocity over a given distance.