Torque and Initial Angular Velocity effect on time

[lc99]

Homework Statement

Homework Equations

[/B]
T = inertia * alpha

The Attempt at a Solution

I'm not sure how the torque or angular velocity initially affects the time to speed, but it seems like the more angular velocity , then the quicker the engine would stop. I do know that more torque induces more acceleration.

Am i suppose to use one of the kinematic equations? Can someone hint me to this question? :O[/B]

 

[haruspex]

seems like the more angular velocity , then the quicker the engine would stop

Why?

 

[lc99]

Why?

Oops, i meant to say longer to stop. If the angular velocity is greater, it would take more time to stop it since it builds a higher momentum.

 

[haruspex]

Oops, i meant to say longer to stop. If the angular velocity is greater, it would take more time to stop it since it builds a higher momentum.

Right, so which answer are you thinking?

 

[lc99]

Right, so which answer are you thinking?

I think the answer is B, but I am not sure if my logic is right.

Since B has a greater angular velocity, its time to stop is longest out of the three. Also, A is greater than C because the torque is higher in C which means that the torque is better at slowing down the engine.

Is there some kind of equation that illustrates this?

 

[haruspex]

I think the answer is B, but I am not sure if my logic is right.

Since B has a greater angular velocity, its time to stop is longest out of the three. Also, A is greater than C because the torque is higher in C which means that the torque is better at slowing down the engine.

Is there some kind of equation that illustrates this?

All good.

 

[haruspex]

... missed your edit.

Angular motion is strongly analogous to linear motion. Substitute force for torque, linear velocity for angular velocity and linear acceleration for angular acceleration. Are the equations obvious now?