Along string is wrapped around a 6.9-cm-diameter cylinder, initially at rest, that is free to rotate on an axle. the string is then pulled with a constant acceleration of 1.7 m/s2 until 1.0 m of string has been unwound. if the string unwinds without slipping, what is the cylinder's angular speed, in rpm, at this time?

Awater slide of length l has a vertical drop of h. abby's mass is m. an average friction force of magnitude f opposes her motion. she starts down the slide at initial speed vi. use work-energy ideas to develop an expression for her speed at the bottom of the slide. then evaluate your result using unit analysis and limiting case analysis. express your answer in terms of the variables h, m, l, vi, f and appropriate constants. vf v f