a body is rotating at a steady rate, does torque acts on the body?
Torque is the rotational analog of force, which, when applied to a body causes acceleration. This fact is represented by the following equation
τ= Iα
so, torque τ always produces some angular acceleration α in a rotating body, which means an ever changing angular speed ω.
Thus, a body cannot rotate at a steady rate when torque is acting on it.