Problem: Calculate the moment of inertia and the rotational kinetic energy for the following objects spinning about a central axis (in units of Joules): a. a solid sphere with a mass of 200 grams and a radius of 5.0 cm rotating with an angular speed of 2.5 rad/sec. b. a thin spherical shell with a mass of 200 grams and a radius of cm rotating with an 5.0 angular speed of 2.5 rad/sec. 

FREE Expert Solution

Rotational kinetic energy:

K=12Iω2

a.

For a solid sphere, the moment of inertia about its central axis is given by:

I = (2/5)MR2

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Problem Details

Calculate the moment of inertia and the rotational kinetic energy for the following objects spinning about a central axis (in units of Joules): 

a. a solid sphere with a mass of 200 grams and a radius of 5.0 cm rotating with an angular speed of 2.5 rad/sec. 

b. a thin spherical shell with a mass of 200 grams and a radius of cm rotating with an 5.0 angular speed of 2.5 rad/sec. 

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