Frictional Force Homework: Calculating Time to Stop

AI Thread Summary
To calculate the time it takes for a rotating disk to stop under the influence of a frictional force, first determine the torque using the formula torque = force x radius, resulting in 188 N m. The disk's inertia, given as 3.04 kg m², is essential for the next calculations. The angular deceleration can be found by dividing the torque by the inertia. Finally, using the initial angular speed of 310 rad/s, the time to stop can be calculated through the relationship between angular deceleration and time. Understanding these steps is crucial for solving the problem effectively.
borobeauty66
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Homework Statement


A rotating disk of radius 2.0m (the mass on the disk, assume is negliable) with 4 points of mass each spaced 90 degrees apart from each other, each weighing 19kg. Each is position 0.2m from the axle.
Inertia of the disk is 3.04 kg m^2
Angular Speed is 310 rad/s
Torque is initially at 0 Nm, as no force is acting upon it.

A frictional force is then applied to the rim, of 94 N. How long does it take to come to a complete stop?

Homework Equations



I assume F x r = torque
But after this, I'm not sure where to go.

The Attempt at a Solution



Not sure where to begin
 
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You've got the right idea in your 'relevant equations' section. You can calculate the torque using the information given. That's the first step you should try.
 
BruceW said:
You've got the right idea in your 'relevant equations' section. You can calculate the torque using the information given. That's the first step you should try.

Therefor torque = 94 N x 2.0 m = 188 N m.

Will I need inertia for the next step?
 
"Will I need inertia for the next step?"

It's a rotating object that is being stopped. What does that tell you?
 
borobeauty66 said:
Therefor torque = 94 N x 2.0 m = 188 N m.

Will I need inertia for the next step?

This is correct.
 
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