- #1
ted.hb
- 3
- 0
Why do we use inertia in rotational motion and not the whole mass of an object ?
What do you mean?ted.hb said:Why do we use inertia in rotational motion and not the whole mass of an object ?
Rotational inertia, also known as moment of inertia, is the measure of an object's resistance to changes in its rotational motion. It is a property of an object that depends on its mass and distribution of mass around its axis of rotation.
Rotational inertia affects rotational motion in a similar way that mass affects linear motion. An object with a larger rotational inertia will require more force to change its rotational speed or direction compared to an object with a smaller rotational inertia.
The rotational inertia of an object is affected by its mass and the distribution of that mass around its axis of rotation. Objects with more mass or mass concentrated farther from the axis of rotation will have a larger rotational inertia compared to objects with less mass or mass closer to the axis of rotation.
The equation for rotational inertia is I = mr^2, where I is the moment of inertia, m is the mass of the object, and r is the distance from the axis of rotation. This equation only applies to point masses, so for more complex objects, the moment of inertia can be calculated using integration.
Rotational inertia is the measure of an object's resistance to changes in its rotational motion, while linear inertia is the measure of an object's resistance to changes in its linear motion. Rotational inertia depends on the distribution of mass around an axis of rotation, while linear inertia depends only on an object's mass.