- #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:
What is the moment of inertia of this rotating object?
- Thread starter riseofphoenix
- Start date
In summary, moment of inertia is a measure of an object's resistance to changes in its rotation, calculated by multiplying the mass of the object by the square of its distance from the axis of rotation. It is different from mass, which is a measure of the amount of matter in an object. The shape of an object affects its moment of inertia, with larger radii of rotation resulting in larger moments of inertia. Moment of inertia has various real-life applications, including in vehicle and sports equipment design, as well as in the stability and control of structures.
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
- #2
Doc Al
Mentor
- 45,569
- 2,222
You cannot set KE = L. The units don't even match.
What's the expression for rotational KE in terms of ω?
What's the expression for rotational KE in terms of ω?
- #3
riseofphoenix
- 295
- 2
Doc Al said:
(1/2)I(v/r)?
I'm not sure if there is another equation for rotational KE
- #4
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
Is that right?
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
Is that right?
- #5
Doc Al
Mentor
- 45,569
- 2,222
Looks good.
- #6
riseofphoenix
- 295
- 2
Thanks!
1. What is moment of inertia?
Moment of inertia is a measure of an object's resistance to changes in its rotation. It is often referred to as rotational inertia.
2. How is moment of inertia calculated?
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.
3. What is the difference between moment of inertia and mass?
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.
4. How does the shape of an object affect its moment of inertia?
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.
5. What are some real-life applications of 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.
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