How To Determine Newton Meter Force

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To determine the Newton meter force requirement and RPM for an electrical motor, first calculate the RPM by dividing the distance the mass must travel by the shaft's circumference. The torque can be calculated using the formula: torque equals the radius of the shaft multiplied by the force needed to lift the weight. For a 2-inch diameter shaft lifting 10 pounds over 7 feet in 6 seconds, these calculations will provide the necessary motor specifications. Additional clarification on specific requirements may be needed for a complete analysis. Understanding these formulas is crucial for accurate motor selection and application performance.
Mr. Nice Guy
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Hello!

How do you calculate or determine Newton meter force requirement and rpm's for an electrical motor in the following example:

A device that utilizes a shaft that is 2 inches in diameter and 6 feet length. It needs to be able to lift 10 pounds and distance of 7 feet in 6 seconds. I need to know the formulas to make these calculations and the requirements needed for this application?

Thanks in advance for any assistance!

Mr. Nice Guy.
 
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RPM can be found by dividing the distance the mass must travel by the circumference of the shaft. The torque will be equal to the radius of the shaft times the force to lift the weight. I am unsure what you are asking for in the second part of your request.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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