The gear train shown starts from rest and reaches an output speed of w_C = 240 rev/min in 2.25 s. Rotation of the train is resisted by a constant 150 N∙m moment at the output gear C. Determine the required input power to the 86% efficient motor at A just before the final speed is reached. The gears have masses m_A = 6 kg, m_B = 10 kg, and m_C = 24 kg, pitch diameters d_A = 120 mm, dB = 160 mm, and d_C = 240 mm, and centroidal radii of gyration kA = 48 mm, kB = 64 mm, and k_C = 96 mm.

Transcribed Image Text:

A 150 N-m