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

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SUMMARY

The discussion focuses on calculating the angle of total acceleration for a race car completing 2.25 laps on a circular track. The key components involved are tangential acceleration, which remains constant, and radial acceleration, which varies over time. To find the angle between these two accelerations, one must use kinematic equations to determine the time taken for the laps. The solution involves calculating both types of acceleration and applying trigonometric principles to derive the angle.

PREREQUISITES
  • Understanding of kinematic equations
  • Knowledge of tangential and radial acceleration
  • Familiarity with circular motion concepts
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study kinematic equations for uniformly accelerated motion
  • Learn about tangential and radial acceleration in circular motion
  • Research the application of trigonometric functions in physics
  • Explore examples of centripetal acceleration calculations
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of circular motion and acceleration in automotive contexts.

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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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