The right hand side is incorrect. You want Δ((1/2)Iw^2), not (1/2)I(Δw)^2.kpengin said:I tried:
550=(1/2)I(320)^2
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It depends on an object's mass, shape, and distribution of mass.
The moment of inertia determines how much kinetic energy an object has when it is in rotational motion. Objects with higher moments of inertia require more energy to rotate at the same speed compared to objects with lower moments of inertia.
The moment of inertia is affected by an object's mass, shape, and distribution of mass. Objects with larger masses, more complex shapes, and more spread out masses have higher moments of inertia.
The formula for moment of inertia depends on the shape of the object. For simple shapes like a sphere, cylinder, or rectangular solid, there are specific formulas. For more complex shapes, the moment of inertia can be calculated by dividing the object into smaller, simpler shapes and using the appropriate formulas for each shape.
Yes, an object's moment of inertia can be changed by altering its mass, shape, or distribution of mass. For example, adding weight to an object or changing its shape can change its moment of inertia and therefore affect its rotational motion and kinetic energy.