(a) Derive an equation for the radial acceleration that includes ??? and ???, but not ?r?. (b) You are designing a merry-go-round for which a point on the rim will have a radial acceleration of 0.500 m/s2 when the tangential velocity of that point has magnitude 2.00 m/s. What angular-velocity is required to achieve these values?

Solution 26E Problem (a) Step 1: To derive an equation for radial acceleration When a particle moves in a circular path, the acceleration is passed through the center of the circle and known as centripetal acceleration. It acts radially inward. v2 The expression for radial acceleration a = r ----(1) Where v - linear velocity or tangential velocity r - radius of...