Non Uniform Circular Motion Problem

AI Thread Summary
The discussion revolves around a problem involving a car accelerating on a circular track with a diameter of 200m. The car accelerates at a steady rate of 1.5 m/s², and the challenge is to determine when the centripetal acceleration equals the tangential acceleration. Participants mention relevant formulas for centripetal acceleration, which depends on speed, and note that mass is not provided but can be treated as a variable that cancels out in calculations. The conversation highlights confusion about how to approach the problem without knowing the mass, but reassures that it can be simplified. Ultimately, the focus is on finding the relationship between centripetal and tangential acceleration in the context of non-uniform circular motion.
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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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