Turn rate

Turn rate is the speed at which a unit can turn. When moving to a location, the unit will first turn to face that location, then begin walking. Similarly, when targeting another unit with an attack or spell, the unit will turn until it is facing the target, then continue with the action. This can make kiting more difficult, as the hero has to spend time turning towards and away from the target with each attack.

Every unit has a base turn rate, which can be lowered by some abilities. The vast majority of heroes have a turn rate between 0.4 and 0.6, meaning it takes between 0.15 and 0.23 seconds for the hero to make a 180 degree turn.

Mechanics
Turn rate is expressed in radians per 0.03 seconds. A 180 degrees turn is the same as π (3.14) radians.

0.03π divided by your turn rate equals to the time it takes to turn 180 degrees. A turn rate slow is directly applied to your base turn rate. For example, a turn rate slow of 70% on your 0.5 base turn rate lowers your actual turn rate to [0.5 (1-0.7)] = 0.15.

(0.03π / T = t, where T = turn rate and t = the time it takes to turn around).

Examples:


 * 1) A hero with a turn rate of 0.6 takes roughly 0.157 seconds to turn 180 degrees. (0.03π / 0.6)
 * 2) A hero with a turn rate of 0.4 and a turn rate slow of 70% takes roughly 0.785 seconds to turn 180 degrees. (0.03π / (0.4 * 0.3))
 * 3) A hero with a turn rate of 1.0 and a turn rate slow of 70% takes roughly 0.314 seconds to turn 180 degrees. (0.03π / (1.0 * 0.3))
 * 4) A hero with a turn rate of 0.4 and turn rate slows of 70% and 50% takes roughly 1.571 seconds to turn 180 degrees. (0.03π / (0.4 * 0.15))

Turn rate comparison
Below is a comparison of the turn rates of all Heroes.
 * : Despite not requiring to turn to take any action, Io still uses a turn rate (0.7). This means, despite starting to move/attack/cast spells instantly at target behind it, Io still requires roughly 0.13 seconds to turn 180° and face towards the target. This still existing turn rate affects spells which work with the facing angle of unit, like, and . Its front is marked by an arc.
 * : Just like Io, Phoenix does not require to turn to take actions, but only during and.
 * ,, , , , and  do not require their casters to face towards their target.