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A 985kg car is driving in a circular track with a constant speed of 25.0 m/s. The circumference of the track is 2.75km. Find the centripetal acceleration of the car??????????

MicahSmith07  Oct 19, 2017
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I'm not great at Physics but I believe the equation we need is :

 

a =   v^2  / r

 

Where  ac  is the centripetal acceleration, v is the velocity and r is the radius

 

Note..... convert 2.75 km to meters  =   2750 m....this is the circumference....so to find the radius we have  r  =   2750 / [2 pi ]   =  [ 1375 / pi ]  m

 

So we have

 

ac = [25m/s]^2 / [1375 / pi ] m  = 

[ 625 m^2 / s^2]  / [ 1375 / pi ] m   = 

 [ (5/11 ) pi ]   m / s^2 ≈ 

 [ 0.4545 pi ]   m / s^2 ≈

1.428 m / s^2

 

cool cool cool

CPhill  Oct 19, 2017

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