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## Homework Statement

A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to 250 km/h in a semicircular arc with a radius of 230 m.

Determine the

*tangential and radial acceleration*of the car when it is halfway through the turn, assuming constant tangential acceleration.

r=230m

v

_{1}=0 m/s

v

_{2}= 250km/h --> 69.44m/s

## Homework Equations

a=r [tex]\alpha[/tex]

V

_{tangent}=[tex]\sqrt{\frac{GM}{r}}[/tex]

## The Attempt at a Solution

w

_{1}= [tex]\frac{v1}{r}[/tex]=0

w

_{2}=[tex]\frac{v2}{r}[/tex]=[tex]\frac{69.44m/s}{230m}[/tex]=0.302rad/s

(.302)

^{2}= 0

^{2}+ 2 ([tex]\pi[/tex]/2) [tex]\alpha[/tex]

[tex]\alpha[/tex] = .02903 radan/s

^{2}

I got this for my TANGENT: (230m)(.02903radan/s

^{2}) = 6.68m/s

^{2}

and this is my RADIAL:[tex]\alpha[/tex] = 0.0290m/s

^{2}

I'm not sure if I did the problem right. My answers seem wrong. Please help me =]