Rotational motion -- Energy stored in a flywheel

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Homework Help Overview

The discussion revolves around a cylindrical pulley that is rotating and the calculations related to its energy and moment of inertia. Participants are exploring the concepts of rotational motion and energy storage in a flywheel context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss calculating angular velocity and moment of inertia, with some expressing uncertainty about the next steps. Questions arise regarding the energy stored in the rotating cylinder and the work required to stop it.

Discussion Status

Some participants have provided calculations for angular velocity and moment of inertia, while others are questioning how to proceed with finding the energy stored in the system. There is an ongoing exploration of the relationships between these quantities without a clear consensus on the final approach.

Contextual Notes

Participants note that certain information, such as specific formulas or ratios, may not be provided, leading to further inquiry into the necessary calculations for the problem.

kaspis245
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Homework Statement


Cylindrical shape pulley ( m = 6 kg, R = 0.18 m) is rotating at a frequency f = 10 s-1. Due to constant torque it stops. Calculate the work done by the breaking force.

Homework Equations


w = 2πf

The Attempt at a Solution


[/B]
I can calculate the angular velocity:
w = 2πf = 62.8 rad/s

I don't know what to do now.
 
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How much energy is stored in that spinning flywheel? What is its moment of inertia?
 
I don't know, it is not given. I think I'm suppose to find some kind of ratio.
 
Calculate it. Look up the formula for the moment of inertia for a cylinder in your textbook or use Google or Wikipedia...
 
Here is moment of inertia for a cylinder:

I = 1/2 MR2 = 1/2 * 6 kg * 0.18 m = 0.54 kg/m
 
kaspis245 said:

Homework Statement


Cylindrical shape pulley ( m = 6 kg, R = 0.18 m) is rotating at a frequency f = 10 s-1. Due to constant torque it stops. Calculate the work done by the breaking force.

Homework Equations


w = 2πf

The Attempt at a Solution


[/B]
I can calculate the angular velocity:
w = 2πf = 62.8 rad/s

I don't know what to do now.

kaspis245 said:
I don't know, it is not given. I think I'm suppose to find some kind of ratio.

kaspis245 said:
Here is moment of inertia for a cylinder:

I = 1/2 MR2 = 1/2 * 6 kg * 0.18 m = 0.54 kg/m

And what is the energy stored in that rotating cylinder? Once you have the energy stored in the rotating cylinder, how much work would it take to slow it down and stop it?
 
Energy stored in a rotating cylinder:

Erotational = ½Iω2 = 1065 J

So in order to stop this cylinder one must do 1065 J work?
 

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