Tangential Acceleration Problem.

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SUMMARY

The discussion focuses on calculating the tangential acceleration of three cars traveling at 21 m/s along a hilly road. The user initially confused radial acceleration with tangential acceleration, recognizing that the correct formula for tangential acceleration is a = (alpha)(r). However, the user lacks the necessary time data to calculate alpha, prompting a request for guidance on relating radial and tangential accelerations.

PREREQUISITES
  • Understanding of kinematics, specifically tangential and radial acceleration.
  • Familiarity with angular acceleration (alpha) and its relation to linear motion.
  • Knowledge of the formula a = (alpha)(r) for tangential acceleration.
  • Basic principles of motion on curved paths.
NEXT STEPS
  • Research the relationship between radial and tangential accelerations in circular motion.
  • Study how to derive angular acceleration (alpha) from linear motion parameters.
  • Explore examples of tangential acceleration calculations in physics problems.
  • Learn about the effects of incline on acceleration in hilly terrains.
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and dynamics, as well as educators looking for examples of tangential acceleration problems.

Shipman515
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Okay. So I've got three cars that are traveling along a hilly road. One is at the beginning, where its flat, one is at the bottom of the hill, one is at the top. Each is traveling at 21 m/s. I am supposed to find tangential acceleration for each.

I tried:
a = v^2 / r but that is radial acceleration.
I know the formula for tangential acceleration is a = (alpha)(r)

but i am given no times or anything to calculate alpha.


I'm thinking I need a relation of some sort between radial and tangential accelerations.

Anyone have any guidelines?
 

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Guess I should have posted this in homework help section. Apologies, I will from this point on.
 

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