A compound gear system driving a large roller is shown below.
(a) Calculate the angular velocities of gears B, C and the product roller for when gear A has an angular velocity of 200 rpm.
(b) When power is applied to the gear A it is required that the design running speed (of 200 rpm at gear A) be reached in a period not longer than 10 seconds when no other loads are applied to the roller. Calculate the starting constant torque required in these conditions. Neglect the mass of the shaft connecting gear B with gear C. The number of teeth, masses and diameters of the gears are:
A: 50 tooth, 200 mm, 15 kg;
B: 200 tooth, 800 mm, 220 kg;
C: 70 tooth, 280 mm, 22 kg
The roller has an outer spur gear of 800 teeth and a diameter of 3200 mm. The mass of the roller is 20,000 kg.
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