Help be of Coon -4 points SerCP10 &P54; 4 Each of the following objects has a ra
ID: 1774423 • Letter: H
Question
Help be of Coon -4 points SerCP10 &P54; 4 Each of the following objects has a radius of 0.213 m and a mass of 2 speed of 40.5 rad/s. Find the magnitude of the angular momentum of each object Used My Notes Ask Your Tea 53 kg, and each rotates about an axis through its center (as in this table) with an (a) a hoos 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 Need Help? My Notes Ask Your (a) Calculate the angular momentum of Earth that arises from its spinning motion on its axis, treating Earth as a uniform solid sphere 3- s 22017Explanation / Answer
here,
radius , r = 0.213 m
mass , m = 2.53 kg
angular speed , w = 40.5 rad/s
a)
moment of inertia of hoop = m* r^2
the angular momentum , L = m * r^2 * w
L = 2.53 * 0.213^2 * 40.5 kg.m^2/s
L = 4.65 kg.m^2 /s
b)
moment of inertia of solid cyclinder = 0.5 * m* r^2
the angular momentum , L = 0.5 * m * r^2 * w
L = 0.5 * 2.53 * 0.213^2 * 40.5 kg.m^2/s
L = 2.32 kg.m^2 /s
c)
moment of inertia of solid sphere = 2/5 * m* r^2
the angular momentum , L = 2/5 m * r^2 * w
L = 2/5 * 2.53 * 0.213^2 * 40.5 kg.m^2/s
L = 1.86 kg.m^2 /s
d)
moment of inertia of hollow sphere = 2/3 * m* r^2
the angular momentum , L = 2/3 m * r^2 * w
L = 2/3 *2.53 * 0.213^2 * 40.5 kg.m^2/s
L = 3.1 kg.m^2 /s
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