Time for a flywheel to stop, given moment of inertia + a tangential force

Click For Summary
SUMMARY

The discussion centers on calculating the time required for a flywheel with a moment of inertia of 0.5 kg·m² and a diameter of 0.5 m, rotating at 1000 RPM, to stop when a tangential frictional force of 1000 N is applied. The relevant equations include Torque = I * α and Angular Velocity = Angular Velocity at t=0 + α * t. Participants confirmed that the final answer, expressed as π/30² minutes, is indeed correct, despite initial confusion regarding the small numerical value.

PREREQUISITES
  • Understanding of rotational dynamics and torque calculations
  • Familiarity with angular velocity and angular acceleration concepts
  • Knowledge of moment of inertia and its significance in rotational motion
  • Basic algebra for solving equations involving angular motion
NEXT STEPS
  • Study the relationship between torque and angular acceleration in detail
  • Learn how to convert angular velocity from RPM to radians per second
  • Explore the effects of friction on rotational motion and energy dissipation
  • Investigate real-world applications of flywheel dynamics in engineering
USEFUL FOR

Students studying physics, particularly those focusing on rotational dynamics, as well as engineers and hobbyists interested in mechanical systems involving flywheels.

Roomie
Messages
29
Reaction score
0

Homework Statement



A flywheel has a moment of inertia of 0.5kgm^2, diameter 0.5m and is rotating at 1000rpm.
A tangential frictional force of 1000N is applied to its rim.
Calculate the time IN MINUTES for the flywheel to stop.

Homework Equations



None given, I assume:

Torque = I*alpha
Angular Velocity = Angular Velocity at t=0 + alpha*t

The Attempt at a Solution



Here is my attempt:
[PLAIN]http://img600.imageshack.us/img600/6962/scan2.png

You can see I get to a final answer, but it doesn't make sense in my opinion since the question asked for it expressed in minutes, why would they do that if it was going to be such a tiny answer?

If someone could check my working and offer any advice it would be much appreciated, thanks!
 
Last edited by a moderator:
Physics news on Phys.org
Hello roomie.I got an answer of pi/30 squared minutes which is what you got.
 

Similar threads

Gearbox and flywheel question, How to calculate input torque
  • · Replies 6 ·
Replies
6
Views
4K
Calculating Stopping Time for a Flywheel & Disk Brake System
  • · Replies 10 ·
Replies
10
Views
5K
Input Power against time graph - Flywheel from rest to 300rpm
  • · Replies 18 ·
Replies
18
Views
4K
Flywheel and Gearbox Coupling Help
  • · Replies 3 ·
Replies
3
Views
3K
How to use Moments of Inertia to find Max Acceleration (sportbike pre-wheelie)
  • · Replies 9 ·
Replies
9
Views
8K
Flywheel Inertia Design for Piston Engine
  • · Replies 2 ·
Replies
2
Views
3K
Mass suspended from rotating flywheel
  • · Replies 6 ·
Replies
6
Views
4K
High School The physics of flywheel launchers (like tennis ball shooters)
  • · Replies 60 ·
3
Replies
60
Views
7K
What is the moment of inertia of the flywheel?
  • · Replies 4 ·
Replies
4
Views
8K
Oscillating Hydrofoil Frequency
  • · Replies 1 ·
Replies
1
Views
2K