Missing the point Tangential acceleration

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Homework Help Overview

The discussion revolves around a physics problem involving tangential acceleration as a car drives around two arcs of different radii on a race track. The original poster seeks to find the ratio of the tangential accelerations for arcs with radii of 80m and 40m while maintaining a constant speed of 50 m/s.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between tangential acceleration and radius, questioning whether tangential acceleration is proportional or inversely proportional to radius. There are attempts to clarify the problem statement and the meaning of the ratio being asked.

Discussion Status

Some participants express confusion regarding the calculation of angular acceleration and its implications for tangential acceleration. There is an ongoing exploration of the assumptions related to constant speed and the nature of acceleration in this context. Multiple interpretations of the problem are being discussed, with no clear consensus yet.

Contextual Notes

Participants note that the problem involves a constant speed scenario, which raises questions about the implications for tangential acceleration. The original poster also acknowledges potential confusion in their wording of the problem.

Saladsamurai
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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?
 
Last edited:
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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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