Mechanical Advantage of a Screw Using Lead Angle

Mechanical advantage is a measure of the force amplification achieved by using a tool, in this case a screw.

The mechanical advantage of a screw is \[Pi]/2 times the cotangent of the lead angle of the screw thread.

Formula

QuantityVariable["MA", "Unitless"] == (Pi*Cot[QuantityVariable["ϕ", "Angle"]])/2

symbol	description	physical quantity
MA	mechanical advantage	"Unitless"
ϕ	lead angle of screw thread	"Angle"

Get the resource:

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Get the formula:

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Use some values:

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$FormulaData[ ResourceObject[ "Mechanical Advantage of a Screw Using Lead Angle"], \ {QuantityVariable["MA","Unitless"] -> 1}]$

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