What Is the Angle of Total Acceleration for a Race Car on a Circular Track?

AI Thread Summary
To determine the angle of total acceleration for a race car on a circular track, one must analyze both tangential and centripetal acceleration components. Starting from rest and accelerating at a constant rate, the car's speed increases as it completes one lap. A diagram can help visualize the relationship between the radius, the car's position, and the acceleration vectors. Identifying relevant variables and equations is crucial for solving the problem effectively. This approach fosters a deeper understanding of circular motion and acceleration concepts.
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Homework Statement



A race car starts from rest on a circular track. The car increases its speed at a constant rate as it goes once around the track. Find the angle that the total acceleration of the car makes--with the radius connecting the center of the track and the car--at the moment the car completes the circle.

Homework Equations



... :(

The Attempt at a Solution



The problem is I don't even know where to start. I'm not looking for a quick answer from you all; I want to know how I should approach this and build some skillz!
 
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1. Draw a diagram.
2. Identify any variables that might be of interest in the problem.
3. Pencil in on your drawing where the variables "live".
4. List the equations you know that might pertain to quantities you want to manipulate or find.
 

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