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(Solved): Use Ch 15.2 methods to solve In the simplified sketch of a ball bearing shown, the diameter of the ...
Use Ch 15.2 methods to solve In the simplified sketch of a ball bearing shown, the diameter of the inner race is and the diameter of each ball is . The outer race is stationary while the inner race has an angular velocity of 3600 rpm. Determine (a) the speed of the center of each ball, (b) the angular velocity of each bail, (c) the number of times per minute each ball describes a complete circle. Hint: the bearing balls are not sliding but rolling along the outer race B so compare this to Sample prob 15.6. A helpful diagram has been included.
Expert Answer
(a) The speed of the center of each ball can be found using the formula: where ? is the angular velocity, and r is the radius of the ball. Since the diameter of each ball is 12 mm, the radius is 6 mm. Therefore, we have: (b) The angular velocity of each ball can be found using the formula: where v is the speed of the center of the ball, and r is the radius of the ball. Using the same values as before, we have: ? = 22,620 rpm