A 500 pound weight is attached to a cable that is being lifted by a 10 inch diameter drum.  The 48V DC motor selected has a no-load angular velocity of 800 RPM and a stall torque of 500 inch-pounds.    A gearbox has been designed to spin the drum as quickly as possible.  Assume that there are no friction losses in this system. Determine the maximum mechanical power that the motor can produce in watts. The gearbox output torqueis 100 in lbs.

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A: For solution refer below content.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.