Non Uniform Circular Motion Problem

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Homework Help Overview

The discussion revolves around a problem in non-uniform circular motion involving a car tested on a circular track with a specified diameter and a constant tangential acceleration. The original poster seeks to determine the time at which the centripetal acceleration equals the tangential acceleration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between centripetal and tangential acceleration, with some noting the known values of acceleration and radius. There is uncertainty about the necessary formulas and the implications of not having mass provided in the problem.

Discussion Status

The conversation is ongoing, with participants offering insights about the nature of the problem and the relevance of mass in the context of the equations being considered. There is an acknowledgment of the need to clarify the relationship between the different types of acceleration involved.

Contextual Notes

Participants highlight the absence of mass as a potential constraint in solving the problem, which may affect their approach to finding a solution.

moneenfan
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A new car is tested on a 200m diameter track. If the car speeds up at a steady 1.5 m/s^2, how long after starting is the magnitude of its centripetal acceleration equal to the tangental acceleration?

So we know that our acceleration is equal to 1.5 m/s^2, our radius of our circle is 100m. I am not sure what the formulas i need in order to solve.

Any help?
 
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hi moneenfan! :smile:

(try using the X2 icon just above the Reply box :wink:)
moneenfan said:
A new car is tested on a 200m diameter track. If the car speeds up at a steady 1.5 m/s^2, how long after starting is the magnitude of its centripetal acceleration equal to the tangental acceleration?

the tangental acceleration is 1.5 m/s2

and i assume you know a formula relating centripetal acceleration to speed? :smile:
 
well i know that Fnet(r)=ma(r)=mv^2/r=mw^2r
Fnet(t)=0 if its uniform circular motion or ma(t) for non uniform circular motion
Fnet(z)=0

Whats messing me up exactly is that were not given a mass only an acceleration.
Im not sure how to approach this
 
moneenfan said:
Whats messing me up exactly is that were not given a mass only an acceleration.
Im not sure how to approach this

Call the mass m … it'll cancel out when you do F = ma anyway! :smile:
 

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