an electrical motor spins at a constant 2695 rpm if the armature radius is 7.165 what is the acceleration of the edge of the motor

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At maximum height, kinetic energy is converted in potential energy  formula: at max height, ke = ½ * 0.27kg * (16m/s) ² = 34.56 j  so the remaining pe = (41.70 – 34.56)= 7.14 j = 0.27 kg * 9.8m/s² * h  = (9.8/7.14 * 0.27)so max height h = 5.08 or 5 m 

Newton's first law describes something special that results from the sum of all the external forces (including gravity) on an object.