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children playing at a kugel ball fountain. The children are able to rotate the b

ID: 2189030 • Letter: C

Question

children playing at a kugel ball fountain. The children are able to rotate the ball even though it weighs several tons. Calculate the final angular velocity in radians per second of the ball (M = 12,000 lbs; R = 1.50 ft) if it starts at rest and a child pushes on it tangentally to the surface with a force of 25 N for three seconds. Neglect friction. FROM WIKIPEDIA: "A kugel ball is a sculpture consisting of a large granite ball supported by a very thin film of water. Water flows beneath a very heavy, perfectly spherical rock from a spherical concave base with exactly the same curvature. A kugel ball can weigh thousands of pounds, but because the thin film of water lubricates it, the ball spins."

Explanation / Answer

FXR= I X ang accn ang accn = FXR/ I = 25 X 1.5 / (2/5 [12000 X 1.5 X1.5 ]) = 3.4X10^-3 t= 3 speed = ang accn X t = 0.0104 rad/s