Missing the point Tangential acceleration

AI Thread Summary
The discussion centers on calculating the ratio of tangential accelerations for a car navigating two arcs of different radii (80m and 40m) at a constant speed of 50 m/s. Participants clarify that tangential acceleration is related to the angular acceleration (alpha) and the radius of curvature, expressed as A_t = r * alpha. Since the car maintains a constant speed, the tangential acceleration for both arcs is zero, leading to the conclusion that the ratio of tangential accelerations A to B is both equal to zero. The conversation emphasizes the importance of understanding how tangential acceleration is influenced by changes in radius and the conservation of kinetic energy. Ultimately, the problem highlights the relationship between radius and tangential acceleration in circular motion.
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EDIT: Tangential acceleration

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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Any ideas would help. Or even a question to get my brain going.
 
18 views ehh... Is this question too easy or something? 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...
 
what is the meaning of this:

"... what is the ratio of the tangential accelerations A to B ..." ?

that's why you get no answer
 
I am sorry. In the OP it says two arcs of radius A 80m and B 40m. . . Hence, the problem 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). I knew there must have been something about my wording. Does that make it clearer? Also it is multiple choice. 1/2...1/4...2...4...or both equal 0.
 
Does tangential acceleration depend on radius? Proportional or inversely proportional?
 
turdferguson said:
Does tangential acceleration depend on radius? Proportional or inversely proportional?
A_t=r*alpha
 
If the radius od curvature changes, the acceleration perpendicular to the trajectory will change.
But if the kinetic energy is conserved, the speed along the trajectory will not change and therefore, the tangential acceleration will be ...
 
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