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??????????
I'm not great at Physics but I believe the equation we need is :
ac = 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