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I would like to know the derivation of surface area of the helical plate, of single turn with a pitch p, diameter D, attached to a shaft of d. It will look like a circle in plan

Also, I would like to get the equation relating the torque resisted by the surface, if it is made to enter a material of shear strength s or frictional coefficient μ.

Thankyou

Thankyou in advance

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# Area of a helical surface

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