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Best size wire Formula

GoBest wire size for modified buttress 45deg and 7deg Formula

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Wire Diameter is the diameter of the wire in thread measurements. Check FAQs

G = P \cdot (\frac{\tan (\frac{a 1 + a 2}{2}) \cdot \sec (a 1)}{\tan (a 1) + \tan (a 2)})

G - Wire Diameter?P - Screw Pitch?a₁ - Large Angle?a₂ - Small Angle?

Best size wire Example

With values

With units

Only example

Here is how the Best size wire equation looks like with Values.

Here is how the Best size wire equation looks like with Units.

Here is how the Best size wire equation looks like.

1.5 = 3 \cdot (\frac{\tan (\frac{0.5 + 0.2}{2}) \cdot \sec (0.5)}{\tan (0.5) + \tan (0.2)})

1.5mm = 3mm \cdot (\frac{\tan (\frac{0.5° + 0.2°}{2}) \cdot \sec (0.5°)}{\tan (0.5°) + \tan (0.2°)})

1.5 = 3 \cdot (\frac{\tan (\frac{0.5 + 0.2}{2}) \cdot \sec (0.5)}{\tan (0.5) + \tan (0.2)})

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Best size wire Solution

Follow our step by step solution on how to calculate Best size wire?

FIRST Step Consider the formula

G = P \cdot (\frac{\tan (\frac{a 1 + a 2}{2}) \cdot \sec (a 1)}{\tan (a 1) + \tan (a 2)})

Next Step Substitute values of Variables

∴

G = 3mm \cdot (\frac{\tan (\frac{0.5° + 0.2°}{2}) \cdot \sec (0.5°)}{\tan (0.5°) + \tan (0.2°)})

Next Step Convert Units

∴

G = 0.003m \cdot (\frac{\tan (\frac{0.0087rad + 0.0035rad}{2}) \cdot \sec (0.0087rad)}{\tan (0.0087rad) + \tan (0.0035rad)})

Next Step Prepare to Evaluate

∴

G = 0.003 \cdot (\frac{\tan (\frac{0.0087 + 0.0035}{2}) \cdot \sec (0.0087)}{\tan (0.0087) + \tan (0.0035)})

Next Step Evaluate

∴

G = 0.00150004683598904m

Next Step Convert to Output's Unit

∴

G = 1.50004683598904mm

LAST Step Rounding Answer

∴

G = 1.5mm

Best size wire Formula Elements

Variables

Functions

Wire Diameter

Wire Diameter is the diameter of the wire in thread measurements.

Symbol: G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter

Screw Pitch

Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

Symbol: P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Screw Pitch

Large Angle

Large Angle is the angle specified by the manufacturer of given unsymmetrical thread.

Symbol: a₁

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Large Angle

Small Angle

A Small Angle is an angle specified by the manufacturer for the given thread.

Symbol: a₂

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Small Angle

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other Formulas to find Wire Diameter

Go Best wire size for modified buttress 45deg and 7deg

G = 0.54147 \cdot P

Other formulas in Unsymmetrical Threads category

Go Pitch diameter unsymmetrical threads

D u = M + (\frac{P}{\tan (a 1) + \tan (a 2)}) - G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2}))

Go Micrometer reading per measurement

M = D u - (\frac{P}{\tan (a 1) + \tan (a 2)}) + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2}))

Go Pitch of Screw Unsymmetrical Threads

P = (D u + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2})) - M) \cdot (\tan (a 1) + \tan (a 2))

Go Pitch for modified buttress 45deg and 7deg

P = \frac{G}{0.54147}

How to Evaluate Best size wire?

Best size wire evaluator uses Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))) to evaluate the Wire Diameter, The Best Size Wire formula is defined as the optimal diameter of the wires used in the three-wire method for measuring the pitch diameter of threads. This diameter ensures accurate contact with the thread flanks during measurement, providing precise pitch diameter readings. Wire Diameter is denoted by G symbol.

How to evaluate Best size wire using this online evaluator? To use this online evaluator for Best size wire, enter Screw Pitch (P), Large Angle (a₁) & Small Angle (a₂) and hit the calculate button.

FAQs on Best size wire

What is the formula to find Best size wire?

The formula of Best size wire is expressed as Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))). Here is an example- 1500.047 = 0.003*((tan((0.00872664625997001+0.003490658503988)/2)*sec(0.00872664625997001))/(tan(0.00872664625997001)+tan(0.003490658503988))).

How to calculate Best size wire?

With Screw Pitch (P), Large Angle (a₁) & Small Angle (a₂) we can find Best size wire using the formula - Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))). This formula also uses Tangent (tan), Secant (sec) function(s).

What are the other ways to Calculate Wire Diameter?

Here are the different ways to Calculate Wire Diameter-

Wire Diameter=0.54147*Screw Pitch

Can the Best size wire be negative?

No, the Best size wire, measured in Length cannot be negative.

Which unit is used to measure Best size wire?

Best size wire is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Best size wire can be measured.

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