- #1
riseofphoenix
- 295
- 2
KErotational = (1/2)Iω2
420 = (1/2)Iω2
420 = (1/2)I(402)
420/(402) = (1/2)I
0.2625 = (1/2)I
2(0.2625) = I
0.525 = I
0.53 = I
Last edited:
Doc Al said:You cannot set KE = L. The units don't even match.
What's the expression for rotational KE in terms of ω?
Moment of inertia is a measure of an object's resistance to changes in its rotation. It is often referred to as rotational inertia.
The moment of inertia of an object is calculated by multiplying the mass of the object by the square of its distance from the axis of rotation.
Moment of inertia and mass are two different quantities. Mass is a measure of the amount of matter in an object, while moment of inertia is a measure of the object's resistance to rotational motion.
The shape of an object has a significant impact on its moment of inertia. Objects with a larger radius of rotation will have a larger moment of inertia, while objects with a smaller radius of rotation will have a smaller moment of inertia.
Moment of inertia has many real-life applications, including in the design of vehicles, such as cars and airplanes, as well as in sports equipment, such as a figure skater's spin. It also plays a role in the stability and control of structures, such as bridges and buildings.