Newton's Law Problem, involves n-t frame or r-t frame

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SUMMARY

The discussion focuses on calculating the acceleration of a train that accelerates uniformly to 100 km/hr over 300 seconds while traveling along a circular and linear path. The key formulas mentioned are normal acceleration, defined as v²/r, and tangential acceleration, represented as ds/dt. The problem requires determining the total acceleration at specific time intervals (1 minute and 2 minutes) by considering both tangential and normal components when the train is on the circular path. The angle of 60 degrees is relevant for calculating the arc length of the circular segment.

PREREQUISITES
  • Understanding of kinematics and acceleration concepts
  • Familiarity with circular motion and its associated formulas
  • Knowledge of frame of reference in physics
  • Basic calculus for determining ds/dt
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  • Calculate the arc length of a circular path using the angle of 60 degrees
  • Learn about combining normal and tangential acceleration in circular motion
  • Explore the concept of uniform acceleration in physics
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Students studying physics, particularly those focusing on kinematics and dynamics, as well as educators seeking to explain concepts of acceleration in circular motion.

jlopez
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After picking up passengers, a train accelerates uniformly until its speed is 100 km/hr at t= 300 s. If during this time it is traveling on a planar path that approximates the circle and line shown in the figure, find the magnitude of the train's acceleration when (a) t = 1 min and (b) t = 2 min.

link to figure:
http://i22.photobucket.com/albums/b346/lopezjose/IMG00264-20100502-0017.jpg

I'm not sure what frame of reference to use and how to start this problem

normal acceleration is v^2/r
tangental acceleration is ds/dt
 
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Find out how far the train traveled along the tracks after 1 and 2 minutes.
If the train is still on the circular part of the track, then you have to combine the tangential and the normal acceleration. If it's on the straight track, there's only the accelaration along the track.
 
do i use the 60 degrees to find the arc length of the circle?
 

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