Edit to Tangential Accelerationmissing point

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The discussion centers on calculating the ratio of tangential accelerations for a car navigating two arcs of different radii on a race track. The car maintains a constant speed of 50 m/s, leading to the conclusion that there is no change in linear velocity, resulting in zero tangential acceleration for both arcs. Participants clarify that since tangential acceleration is defined as the product of radius and angular acceleration, and with no angular acceleration present, both arcs yield a tangential acceleration of zero. Therefore, the ratio of tangential accelerations A to B is concluded to be zero. The final answer indicates that both arcs have equal tangential acceleration of zero.
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Homework Statement


If a car drives around a race track constructed such that two arcs of radius A=80m and Radius B=40m are joined by two stretches of straight track at a constant speed of 50 m/s, what is the ratio of the tangential accelerations A to B...Meaning asking for the ratio of the Tangential Acceleration around arc of radius A (80m) to that of the Tangential Acceleration around arc of radius B (40m). Also it is multiple choice. a.)1/2...b.)1/4...c.)2...d.)4...or e.)both equal 0.



Homework Equations






The Attempt at a Solution





I know this is much easier than I am making it. I know that A_t=r*alpha...but I do not have alpha and I am a little confused to how to calculate it? Just a hint to get me going?
 
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I know that if linear acceleration is the change in linear velocity, then there is no change in this instance. Therefore a=0--->alpha 0...is this correct? Because alpha=a/r.
 
If you are just looking at the tangential component of the total acceleration, then I would say you are right.
 
Yes. It is just the Tangential component. So that does look right.
 
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