Based on the coefficients (2/5 and 1/2), the minute of inertia of solid disk is better than the moment of inertia of a solid sphere.

You are watching: Why does a solid disk have a greater moment of inertia than a solid sphere

Consider a solid sphere and a solid disk via the exact same radius and also the exact same mass. Exsimple why the solid disk has actually a higher moment of inertia than the solid spbelow, also though it has actually the exact same in its entirety mass and radius.

Calculate the moment of inertia and also the rotational kinetic power for the complying with objects spinning around a central axis (in systems of Joules):

a) a solid spright here with a mass of 200 grams and also a radius of 5.0 cm rotating via an angular speed of 2.5 rad/sec.

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

c) a solid cylinder through a mass of 200 grams and also a radius of 5.0 cm rotating with an angular speed of 2.5 rad/sec.

d) a hoop through a mass of 200 grams and also a radius of 5.0 cm rotating through an angular rate of 2.5 rad/sec.

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Based on our data, we think this trouble is pertinent for Professor Narla's class at UCSD.

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