Given Figure shows an epicyclic gear arrangement in which the ‘sun' gear G1 of radius b1 and the ‘ring' gear G2 of inner radius b2 rotate with angular velocities ω1, ω2 respectively about their fixed common centre O. Between them they grip the ‘planet' gear G, whose centre C moves on a circle centre O.
Find the circumferential velocity of C and the angular velocity of the planet gear G. If O and C were connected by an arm pivoted at O, what would be the angular velocity of the arm?
