A solid uniform cylinder of mass is observed to rotate about its symmetry axis with…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems
Problem
A solid uniform cylinder of mass 4kg is observed to rotate about its symmetry axis with an angular speed of 10rad s−1. At this speed the rotational kinetic energy of the cylinder is 40J.
(i) Determine the moment of inertia of the cylinder about its axis of rotation.
(ii) Hence calculate the radius of the cylinder.
(iii) Find the radius of gyration of the cylinder about the same axis and comment on its numerical value in relation to the actual radius obtained in part (ii).