What is the Moment of Inertia of a Flywheel?

AI Thread Summary
The discussion focuses on calculating the moment of inertia of a flywheel given that it accelerates from rest to an angular speed of 14.5 revolutions per second with a work input of 22.0 kJ. The relevant equation used is ½Iω² = 22.0 kJ, leading to the rearrangement I = (2)(22.0 kJ)/ω². The angular speed is converted to radians per second, resulting in ω = 29π rad/sec. After performing the calculations, the moment of inertia is determined to be approximately 0.00531 kg·m². The discussion also highlights the importance of using SI units correctly, specifically converting 22 kJ to joules.
deltas
Messages
7
Reaction score
0

Homework Statement


The work done in accelerating a flywheel from rest to an angular speed of 14.5 revolutions per second is 22.0 kJ. What is the moment of inertia of the flywheel?

Homework Equations


½Iω² = 22.0 kJ

The Attempt at a Solution


½Iω² = 22.0 kJ
I = (2)(22.0 kJ)/ω²
ω = (14.5 revs/sec)
= (14.5 revs/sec) × (2π rad/rev)
= 29π = 91.1

I = (2)(22)/(91.1)2
I = 44/8300.3
I = 0.00531
 
Physics news on Phys.org
You are using SI units. How many joules are there in 22kJ?
 
Oh, thank you! I hadn't even noticed!
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
View full post »

Similar threads

What is the moment of inertia of the flywheel?
Replies
4
Views
8K
What is the "r" in the moment of inertia?
Replies
13
Views
3K
Rotational Motion and moments of inertia
Replies
9
Views
2K
What Are the Units for Precession Rate (Ω)?
Replies
5
Views
2K
What is the torque exerted by the flywheel on the machine?
Replies
5
Views
4K
Calculation of torque to stop a wheel.
Replies
4
Views
6K
Moment of Inertia: Disk 1 & 2 Homework
Replies
1
Views
2K
Moment of inertia, center of mass and vincular reaction of a rod
Replies
16
Views
2K
Moment of inertia of a suspended cylinder
Replies
5
Views
2K
Moment of Inertia in Planet System
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top