1. The problem statement, all variables and given/known data The problem states the following: One end of a string is attached to the ceiling while the other end is wrapped around a solid cylinder of mass 0.20 kg and radius 0.030m. The cylinder is released from rest and the string unwinds as the cylinder rotates and accelerates downward. Determine the a) Solid cylinder's speed after it has traveled 1.0m downward and b) its rate of acceleration. So given variables are mass = 0.20kg radius of cylinder = 0.030m and a displacement of 1.0m downwards. 2. Relevant equations I can't seem to find the correct one for this. I have a sheet and my Physics book with all the formulas yet all the ones I've found up to now require me to have the time in order to find the speed. I have been trying for a while now, and can't seem to find anything relevant to this. Only closest thing I could find would be rotational Kinetic Energy which would be KEr = ½Iω2, but then there would be two unknowns at the end of this which would be ω and the KEr If I had Δt then Θ = ω0t + ½αt2 could be used I think. Maybe there's an error in the question, which is quite possible since my teacher makes mistakes, but unlikely. 3. The attempt at a solution I haven't been able to attempt it at all since all the formulas that I can remember off the top of my head and the sheets seem to be missing variables. A formula would push me in the right direction, but I've looked everywhere for formulas regarding Angular displacement, and Angular velocity or even linear velocity/displacement but I seem to be missing variables like in: ω = Θ/t ω = v⋅r -- Thank you for any help.