Consider a solid sphere and a solid disk with the same radius and the same mass. Explain why the solid disk has a greater moment of inertia than the solid sphere, even though it has the same overall mass and radius.

Explanation:

In a Solid sphere; the moment of inertia around its geometrical axis can be expressed by using the formula:

For the solid disk; the moment of inertia around the central axis is:

Suppose ; then we can say both to be equal to M

As well as ; then that too can be equal to R

Now;

Multiplying equation (1) by 2, followed by dividing it by 2; we have:

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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