A big yo-yo(radius .2m, mass 20kg) has a string wrapped about its circumference. If yo-yo falls, how far does it fall in 2 seconds? (The yo-yo is shaped like a disk)
Gravity is working on it.
Torque*time=I*w
mg*radius*time=I*w
assume the yoyo is a disk for getting the moment of inertia.
solve for w.
But w=v*radius
and average velocity then is w/2r
distance fell then is w/2r * time