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Kinematics of Machinery |
An epicyclic gear train has a fixed annular wheel ‘C’ concentric with sun wheel ‘A’. A planet wheel ‘B’ gears ‘A’ and ‘C’ and can rotate freely on a pin carried by an arm ‘D’ which rotates about an axis co-axial with that of A and C. If T1 and T2 are the numbers of teeth on A and C respectively, shows that the ratio of the speeds of D to A is (T1/(T1+T2)). If the least number of teeth on any wheel is 18 and T1 + T2 = 120, find the greatest and least speeds of D when wheel A rotates at 500 r.p.m.
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