Intro to Rotational Kinetic Energy Video Lessons

Concept

# 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 cylinder 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 hoop with a mass of 200 grams and a radius of 5.0 cm rotating with an angular speed of 2.5 rad/sec.

###### FREE Expert Solution

Rotational kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{I}}{{\mathbf{\omega }}}^{{\mathbf{2}}}}$

a.

Monet of inertia for a cylinder about its central axis is:

I = (1/2)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 cylinder 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 hoop with a mass of 200 grams and a radius of 5.0 cm rotating with an angular speed of 2.5 rad/sec.