Calculating Centripetal Acceleration Angle for a Race Car on a Circular Track

AI Thread Summary
To find the angle of total acceleration for a race car completing 2.25 laps on a circular track, one must calculate both tangential and radial accelerations. The tangential acceleration is constant, while the radial acceleration varies over time as the car accelerates. The angle can be determined by taking the tangent of the ratio of these two components. Kinematic equations will be necessary to calculate the time taken for the car to complete the laps. Understanding these principles is essential for solving the problem accurately.
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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 at as it goes 2.25 times 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 its trip of 2.25 times around the circle.


Homework Equations



Im not sure

The Attempt at a Solution


I don't even know how to begin
 
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Assuming the constant rate is w.r.t time you would have to calculate tangential and radial acceleration and then divide them for the tangent of angle b/w them.Tangential acceleration is given constant but radial component changes with time so you would have to calculate time too. Use kinematics for that.
 

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