Question

How to calculate inertia?

Answer 1

Inertia:

1. A body has an attribute called inertia that makes it resist attempts to move it or, if it is already moving, alter the speed or direction of its motion.
2. A body's inertia is a passive character that prevents it from doing anything other than opposing active agents like forces and torques.
3. An object's property to remain unchanging is known as inertia. Translational inertia is a unit of measurement for the resistance an object in motion presents to a net external force.
4. Translational inertia$=ma$, where$"m"$is the mass and $"a"$is the acceleration of the object.
5. Calculating the rotational inertia of a rotating body involves multiplying the mass of the object by the square of the distance between the item and the rotational axis.

1. Rotational Inertia$=\left(m\right)\left(r^2\right)$
2. Rotational inertia for a solid cylinder = $\frac{1}{2}m{r}^2$
3. Rotational inertia for a thin-shelled hollow sphere = $\frac{2}{3}m{r}^2$
4. Rotational inertia for a solid sphere$=\frac{2}{5}m{r}^2$.