In: Physics
ASK YOUR TEACHER Each of the following objects has a radius of 0.155 m and a mass of 2.07 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 39.4 rad/s. Find the magnitude of the angular momentum of each object. (a) a hoop kg · m2/s (b) a solid cylinder kg · m2/s (c) a solid sphere kg · m2/s (d) a hollow spherical shell kg · m2/s
Angular momrntum is given by,
Where is the angular spped and is the angualr momentum.
(a) Moment of inertia of a hoop is,
angular momentum of the hoop is ,
(b) Moment of inertia of a solid cylinder is,
angular momentum of the solid cylinder is ,
(c) Moment of inertia of a solid sphere is,
angular momentum is,
(d) Moment of inertia of a hollow spherical shell is,
angular momentum is,