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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.
Tension for Horizontal Circle: F = T = m * a = m * v^2 / R Your problem is missing velocity...