Rotational Motion (should be easy-need quick tip)

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SUMMARY

The discussion centers on a physics problem involving a car moving in a circular path with a radius of 30 meters, starting from rest and accelerating at a constant rate of 0.5 m/s². The net acceleration after 15 seconds is determined by calculating both centripetal acceleration and tangential acceleration. The relationship between angular acceleration and net acceleration is clarified, emphasizing that they are distinct concepts. The forum participants confirm the correct approach to finding the angle between tangential and resultant acceleration.

PREREQUISITES
  • Understanding of centripetal acceleration (V²/R)
  • Knowledge of tangential acceleration and its calculation
  • Familiarity with vector addition in physics
  • Concept of angular acceleration versus net acceleration
NEXT STEPS
  • Study the principles of circular motion and centripetal force
  • Learn how to calculate net acceleration in rotational motion scenarios
  • Explore the relationship between angular velocity and tangential speed
  • Investigate the differences between angular acceleration and linear acceleration
USEFUL FOR

Students studying physics, particularly those focusing on rotational motion, as well as educators seeking to clarify concepts of acceleration in circular paths.

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Homework Statement



A car starts from rest and moves around a circular, horizontal, level track of radius 30 m. Its speed increases at the constant rate of 0.5 m/s^2. (a) What is the magnitude of the net acceleration 15 s later? (b) What angle does the net acceleration make with the car's velocity at this time?

Homework Equations





The Attempt at a Solution


I think I got part A. I just found the vector sum of of the centripetal acceleration, V^2/R (found V by taking integral of 0.5 from 0-15s), and the given tangental accereration of 0.5.
Does this sound right?
As for part B I have no idea. I don't think I can use constant acceleration kinematic equations...

Also- is there a difference between the angular acceleration and the net acceleration?
 
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For B you know the components of the acceleration. All you need to do is find the angle between the tangential acceleration and the resultant or net acceleration.

Yes angular acceleration is different to the net acceleration. This page may be of use to you.

http://hyperphysics.phy-astr.gsu.edu/HBASE/rotq.html#drot
 
thanks i think i got it now.
 

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