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5*) Find the angular velocity of the Earth due to its daily rotation and express it...

Question

5*) Find the angular velocity of the Earth due to its daily rotation and express it...

5*) Find the angular velocity of the Earth due to its daily rotation and express it in radians per second. Then use it, and a model of the Earth as a solid sphere of mass ME= 5.97 × 1024 kg and radius RE = 6.37 × 106 m, to estimate the angular momentum of the Earth due to its rotation around its axis. (The result should be of the order of 1033 kg m2/s. This is called the Earth’s “intrinsic” angular momentum, as opposed to its “orbital” angular momentum due to its motion around the Sun.)TABLE 12.2 Moments of inertia of objects with uniform density Object and axis Picture Object and axis Picture I I Thin rod MR

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TABLE 12.2 Moments of inertia of objects with uniform density Object and axis Picture Object and axis Picture I I Thin rod MR Cylinder or disk, about center ML2 about center R Thin rod Cylindrical hoop, ML2 MR2 about end about center 노Ma MR Plane or slab Solid sphere, about about center diameter R Plane or slab, about edge Spherical shell, 글MIR: Ma2 about diameter a

Answers

No-5 Earth rotates about its axis in 24 hours. So its time period is T= 24 hours = 24 x 3600 8 = 8.64 x 108. angware velocity


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