Y Angular Momentum Qu x Assignment 11 15018334 a4 D .webassign net nment Respo M
ID: 1997057 • Letter: Y
Question
Y Angular Momentum Qu x Assignment 11 15018334 a4 D .webassign net nment Respo Math solve N R MyToo Login MMyuab & Mastering s symbolab My Notes o Ask Your Teacher o-1 points SerfoSE9 11 P043 the figure below. The angular speed of the tip of the The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in torque on the gyroscope and angular momentum vector, called its precessional frequency, is given by up r/L, where r is the magnitude of the about the L is the magnitude of its angular momentum. In the motion called precession of the equinoxes, the Earth's axis of rotation precesses that perpendicular to its orbital plane with a period of 2.58 x 104 yr. Model the Earth as a uniform sphere and calculate the torque on the Earth is causing this precession. Need Help? LReed Show My work goptionanExplanation / Answer
M = 5.98 * 1024 kg
R = 6.37 * 106 m
I = (2 / 5) M R2 = (2 / 5) * 5.98 * 1024 * (6.37 * 106)2
= 9.71 * 1037
L = I w = (9.71 * 1037 ) * (2 pi / 3600 / 24)
= 7.06 * 1033
T = wp L = [2 pi * 7.06 * 1033 ] / [ (2.58 * 104 * (365.25 * 24 * 3600 ) ]
= 5.45 * 1022 N.m
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