Rotational Kinematics Problem Interpretation

[yougene]

Homework Statement

If you step on your car's brakes hard, the wheels stop turning (i.e., the wheels "lock") after 2.0 revolution.


Part A.
At the same constant acceleration, how many revolutions do the wheels make before stopping if your initial speed is twice as high?

Homework Equations

Rotational Kinematics
Omega
Alpha
etc...

The Attempt at a Solution

I need help interpreting the problem not doing it.



Ok, the first part says it took 2 revolutions to startup.
The actual question is asking me how many revolutions are made though. How are these two parts related?

 

[yougene]

Figured it out. It's amazing how writing things out always puts it in perspective.

 

[tomcue]

The two parts are related because they both involve the concept of rotational kinematics. In the first part, the problem is describing a scenario where the car's wheels stop turning after 2 revolutions. This can be interpreted as the final angular displacement being equal to 2 revolutions. In the second part, the problem is asking how many revolutions the wheels make before stopping if the initial speed is doubled. This can be approached by using the equation for angular displacement, which is equal to the initial angular velocity multiplied by time plus one-half times the angular acceleration multiplied by time squared. By plugging in the given information (2 revolutions for final angular displacement and a constant acceleration), you can solve for the time it takes for the wheels to stop turning. Then, by doubling the initial speed and using the same equation, you can calculate the number of revolutions the wheels make before stopping. This demonstrates the relationship between the initial speed and the number of revolutions made before stopping.