Find acceleration vector of a car travelling on a circular path

[Phys121VIU]

Homework Statement

A car is traveling eastward turns north by traveling in a circular path at uniform speed as shown in the picture. the length of arc ABC is 235m and the car completes the turn in 36.0s

a) Find the acceleration vector of the car when it is at B. Express answer in terms of unit vectors\hat{i} and \hat{j}

Homework Equations

a_rad = V² / r = 149.6m

circumference of a circle = 2nr

The Attempt at a Solution

Because the car is traveling at uniform speed, there is no tangential acceleration conponent, just radial acceleration. From there I found the radius of the arc the car is traveling on

r = [(235) x 2] / ∏

So radial acceleration = [V²] / r

but velocity isn't given..so there are two unknowns and therefore i can't solve for a_rad, therefore i am stuck.. any hints would be appreciated!

 

[mishek]

Homework Statement

A car is traveling eastward turns north by traveling in a circular path at uniform speed as shown in the picture. the length of arc ABC is 235m and the car completes the turn in 36.0s

a) Find the acceleration vector of the car when it is at B. Express answer in terms of unit vectors\hat{i} and \hat{j}

Homework Equations

a_rad = V² / r = 149.6m

circumference of a circle = 2nr

The Attempt at a Solution

Because the car is traveling at uniform speed, there is no tangential acceleration conponent, just radial acceleration. From there I found the radius of the arc the car is traveling on

r = [(235) x 2] / ∏

So radial acceleration = [V²] / r

but velocity isn't given..so there are two unknowns and therefore i can't solve for a_rad, therefore i am stuck.. any hints would be appreciated!

Can you work out something with bolded text?

 

[Phys121VIU]

I see, its traveling at constant velocity so it is the same all along the arc.

velocity = d / t

= 235m / 36.0s

= 6.53m/s

and with that, the radial acceleration can be found :

a_rad = v² / r

= (6.53m/s)² / 149.6m

= 0.285 m/s² = 0.285 m/s² \hat{i}


Thank you!
EDIT***

b) Find the velocity vector at B. Express answer in terms of \hat{i} and \hat{j}

This is part two..i just want to see if I am on the right track..

Is the velocity at B = (6.53m/s) \hat{j} ??

(I didnt think these questions would be this simple..):S