- #1
jmf322
- 18
- 0
what is the difference between inertia in rotational motion vs. inertia in other motion
mather said:which are the factors that affect rotational inertia and how are mathematically connected?
let's say specificaly for disks (with ignorable height) that an axis in their center rotates them
pgardn said:What is more difficult to change the rotation of, a lot of mass rotating about an axis it is far away from, or a little bit of mass rotating close to an axis of rotation?
mather said:let's say that the diameter of the disks is the same
ofcourse the heavier disk will be more difficult to rotate
but how much more difficult?
Inertia in rotational motion refers to an object's resistance to changes in its rotational state. It is similar to inertia in linear or translational motion, which is an object's resistance to changes in its linear motion.
Rotational inertia differs from linear inertia in that it specifically applies to an object's rotational motion, while linear inertia applies to an object's linear motion. Rotational inertia also depends on the distribution of mass in an object, while linear inertia does not.
The main factor that affects rotational inertia is the distribution of mass in an object. Objects with more mass concentrated farther away from the axis of rotation have a higher rotational inertia. The shape and size of an object also play a role in determining its rotational inertia.
Rotational inertia affects an object's motion by determining how easily it can be rotated or stopped from rotating. Objects with a higher rotational inertia require more torque to rotate or stop, while objects with a lower rotational inertia require less torque.
Yes, objects with different shapes can have the same rotational inertia if they have the same mass and their mass is distributed in the same way. This is known as the parallel axis theorem, which states that the rotational inertia of an object can be calculated by adding the rotational inertia of its individual parts.