How to determine torque required to spin a fan?

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    Fan Spin Torque
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To determine the torque required to spin a fan, key formulas involve calculating the mass moment of inertia and the forces acting on the propeller. The torque can be influenced by factors such as the fan's design, speed, and the medium it operates in. When running the fan in a fluid, the density of the fluid will affect the torque calculations due to changes in drag and lift forces. Understanding these principles is crucial for effective propeller design and motor performance. Accurate calculations will ensure optimal operation in both air and fluid environments.
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So I want to design a propeller that will slow down a motor and I want to know what formulas or equations I would use to calculate that torque.
Also, if I decided I wanted to run it in a fluid, what it just be a matter of density change?

I have attached a picture of what I want to do.

Thanks
 

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It's mass moment of inertia will have a part to play in it
 
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