A yo-yo has a rotational inertia of `950 g cm^(2)` and a mass of 120 g. Its axle radius is 3.2 mm, and its string is 120 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed?

Explanation

(a) `~~13 cm//s^(2)`, (b) `~~4.4 s`, (c) `55 cm//s`, (d) `1.8 xx 10^(-2)` J, (e) `~~1.4 J`, (f) `27 "rev"//s`