Q. 6 (4 marks) In the planetary gearbox shown, the ring gear B has a radius rb of 40 mm and is fixed so that it does not

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Q 6 4 Marks In The Planetary Gearbox Shown The Ring Gear B Has A Radius Rb Of 40 Mm And Is Fixed So That It Does Not 1 (379.45 KiB) Viewed 20 times

Q. 6 (4 marks) In the planetary gearbox shown, the ring gear B has a radius rb of 40 mm and is fixed so that it does not rotate. The planet gears, P each have a radius of 15 mm and mass 0.100 kg, while the sun gear has a radius of 10 mm and mass of 0.050 kg. The carrier C supports the bearings for the planet gears and rotates with the bearings at their centers. If a constant torque of 0.25 N.m is applied to the sun gear S, and the load on the carrier has a radius of gyration of 55 mm and a mass of 2.000 kg (including the mass of the carrier), determine the number of revolutions of the sun gear required for the carrier to reach 1019 rpm, starting from rest. In relation to calculating rotational mass moments of inertia, you may treat the gears as cylinders. You may neglect the size of the bearings and neglect losses due to friction. Hint: Consider using the work-energy approach. B Р B