Input: green screw of lead t1.
Orange nut has circular grooves (not helical).
The blue slider has revolution joint (rolling bearing in pactice) with the nut so the latter can rotate in it. The screw axis and the axis of the slider hole are not concentrical so the nut can roll on the screw to reduce the friction.
Output: blue slider moving t1 in 1 rev. of the input.
If the nut has helical grooves (threaded) the output motion will be unstable subject to the nut - screw friction.