Two identical racing horses go around a semicircular turn in a racecourse. The horses have the same speed, but horse A is on the inner side while horse B is on the outer side of the circular turn. Which horse has the greater acceleration while in the turn?

Answer 1

Acceleration is indirectly proportional to radius.

a = v^2 / r

Let Horse A = r;
r = 1 = v;
a = 1.

Let B = 2r;
r = 2; v = 1;
a = 1/4

The acceleration of Horse A is much greater then Horse B.