How to Determine Angular Acceleration from Given Equations?

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SUMMARY

The discussion focuses on determining angular acceleration using the equation a=[r''-r0'^2]er+[r0'' + 2r'0']e0, where θ represents the angular position. The user expresses confusion regarding the application of this equation to a problem involving a car moving with constant velocity. Key points include the need to relate the variables x, θ, and \dot{θ} to the constant velocity v and time. The conversation emphasizes the importance of understanding the relationships between these variables to solve for angular acceleration effectively.

PREREQUISITES
  • Understanding of angular motion and acceleration concepts
  • Familiarity with vector calculus in polar coordinates
  • Knowledge of kinematic equations related to circular motion
  • Ability to manipulate and solve differential equations
NEXT STEPS
  • Study the relationship between linear and angular velocity in circular motion
  • Learn about polar coordinate transformations in physics
  • Explore the derivation of angular acceleration from linear motion equations
  • Practice solving problems involving angular motion and constant velocity scenarios
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Students studying physics, particularly those focusing on mechanics, as well as educators and tutors looking to clarify concepts related to angular acceleration and motion.

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Homework Statement


http://imageshack.us/photo/my-images/855/10544781.png/


Homework Equations


a=[r''-r0'^2]er+[r0'' + 2r'0']e0 where 0 = theta


The Attempt at a Solution


stumped about it, I've tried setting the above to 0 then work out r which is 200 m but that's just cluelessly subbing values into the equation, any directions as to where to head? thanks!
 
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The car moves along the road with constant velocity v. Find x as function of time. Find how θ and [itex]\dot {\theta}[/itex] are related to v and time.

ehild
 

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