Tangential Acceleration of uniform motion

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SUMMARY

The discussion centers on the calculation of tangential acceleration in uniform circular motion. It is established that for uniform circular motion, the tangential acceleration is zero because the speed remains constant, resulting in no change in velocity over time (dv/dt = 0). The correct formula for tangential acceleration is At = |angular acceleration| x r, where r is the radius of the circular path. The confusion arises from mixing tangential and radial components of acceleration, with the radial component being represented by V^2/r.

PREREQUISITES
  • Understanding of uniform circular motion
  • Familiarity with the concepts of tangential and radial acceleration
  • Knowledge of angular acceleration
  • Basic calculus for differentiation (dv/dt)
NEXT STEPS
  • Study the relationship between angular acceleration and tangential acceleration
  • Learn how to differentiate between tangential and radial acceleration in circular motion
  • Explore the implications of non-uniform circular motion on tangential acceleration
  • Review the derivation and application of the centripetal acceleration formula
USEFUL FOR

Students of physics, educators teaching circular motion concepts, and anyone seeking to clarify the distinctions between tangential and radial acceleration in uniform and non-uniform circular motion.

student 1
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How do you find the Magnitude of tangential acceleration if you have uniform circular motion? I know the formula for Tangential Acceleration; however I have no clue how to apply it to determine the Magnitude?
 
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Its just the magnitude of the vector. It should just be V^2/r.
 
student 1 said:
How do you find the Magnitude of tangential acceleration if you have uniform circular motion? I know the formula for Tangential Acceleration; however I have no clue how to apply it to determine the Magnitude?

The formula in the previous post is incorrect (that's the magnitude of the *radial* component of the acceleration). What formula are you using for tangential acc?
 
student 1 said:
How do you find the Magnitude of tangential acceleration if you have uniform circular motion? I know the formula for Tangential Acceleration; however I have no clue how to apply it to determine the Magnitude?
Do you mean centripetal acceleration? If something is performing uniform circular motion, its tangential acceleration is zero. Or do you mean non-uniform circular motion, which will have a tangential component of acceleration?
 
No, I mean tangential acceleration. That's probably the answer I'm looking for I just have to know how to express that the acceleration would be zero if it was uniform circular motion using words and one equation.
 
Im suppose to use At=[dv/dt].
 
student 1 said:
Im suppose to use At=[dv/dt].
OK, where v is the speed, not the velocity vector. For uniform circular motion, dv/dt = 0.
 
Tangental acceleration can still exist on a object traveling in a circular path. The centripetal force just needs to change with respect to speed2, so it always equals m |v|2 / r.

The magnitude of tangental acceleration would be the magnitude of angular acceleration times r = |angular acceleration| x r.
 
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