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Diameter of Wire used in Three Wire System Method Formula

GoIdeal wire diameter in three wire system method Formula

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Wire Diameter Metric Thread is any straight line segment that passes through the center of the wire circle and whose endpoints lie on the wire circle in the metric measurement system. Check FAQs

G m = \frac{M - D + \frac{P \cdot \cot (θ)}{2}}{1 + \cos e c (θ)}

G_m - Wire Diameter Metric Thread?M - Micrometer Reading?D - Pitch Diameter?P - Screw Pitch?θ - Thread Angle?

Diameter of Wire used in Three Wire System Method Example

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Here is how the Diameter of Wire used in Three Wire System Method equation looks like with Values.

Here is how the Diameter of Wire used in Three Wire System Method equation looks like with Units.

Here is how the Diameter of Wire used in Three Wire System Method equation looks like.

0.9588 = \frac{8.2 - 7 + \frac{3 \cdot \cot (60)}{2}}{1 + \cos e c (60)}

0.9588mm = \frac{8.2mm - 7mm + \frac{3mm \cdot \cot (60°)}{2}}{1 + \cos e c (60°)}

0.9588 = \frac{8.2 - 7 + \frac{3 \cdot \cot (60)}{2}}{1 + \cos e c (60)}

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Diameter of Wire used in Three Wire System Method Solution

Follow our step by step solution on how to calculate Diameter of Wire used in Three Wire System Method?

FIRST Step Consider the formula

G m = \frac{M - D + \frac{P \cdot \cot (θ)}{2}}{1 + \cos e c (θ)}

Next Step Substitute values of Variables

∴

G m = \frac{8.2mm - 7mm + \frac{3mm \cdot \cot (60°)}{2}}{1 + \cos e c (60°)}

Next Step Convert Units

∴

G m = \frac{0.0082m - 0.007m + \frac{0.003m \cdot \cot (1.0472rad)}{2}}{1 + \cos e c (1.0472rad)}

Next Step Prepare to Evaluate

∴

G m = \frac{0.0082 - 0.007 + \frac{0.003 \cdot \cot (1.0472)}{2}}{1 + \cos e c (1.0472)}

Next Step Evaluate

∴

G m = 0.000958845726812115m

Next Step Convert to Output's Unit

∴

G m = 0.958845726812115mm

LAST Step Rounding Answer

∴

G m = 0.9588mm

Diameter of Wire used in Three Wire System Method Formula Elements

Variables

Functions

Wire Diameter Metric Thread

Wire Diameter Metric Thread is any straight line segment that passes through the center of the wire circle and whose endpoints lie on the wire circle in the metric measurement system.

Symbol: G_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter Metric Thread

Micrometer Reading

Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.

Symbol: M

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Micrometer Reading

Pitch Diameter

Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch 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

Thread Angle

Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Thread Angle

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(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)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Other Formulas to find Wire Diameter Metric Thread

Go Ideal wire diameter in three wire system method

G m = (\frac{P}{2}) \cdot \sec (\frac{θ}{2})

Other formulas in Metric Thread category

Go Micrometer reading from three wire system method

M = D + G m \cdot (1 + \cos e c (θ)) - \frac{P \cdot \cot (θ)}{2}

Go Pitch diameter from three wire system method

D = M - (G m \cdot (1 + \cos e c (θ)) - \frac{P \cdot \cot (θ)}{2})

Go Pitch of thread from three wire system method

P = \frac{D + G m \cdot (1 + \cos e c (θ)) - M}{\frac{\cot (θ)}{2}}

Go Pitch of thread given ideal wire diameter

P = \frac{2 \cdot G m}{\sec (\frac{θ}{2})}

How to Evaluate Diameter of Wire used in Three Wire System Method?

Diameter of Wire used in Three Wire System Method evaluator uses Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle)) to evaluate the Wire Diameter Metric Thread, The Diameter of Wire used in Three Wire System Method formula is defined as diameter of measuring wires used in this method. Wire Diameter Metric Thread is denoted by G_m symbol.

How to evaluate Diameter of Wire used in Three Wire System Method using this online evaluator? To use this online evaluator for Diameter of Wire used in Three Wire System Method, enter Micrometer Reading (M), Pitch Diameter (D), Screw Pitch (P) & Thread Angle (θ) and hit the calculate button.

FAQs on Diameter of Wire used in Three Wire System Method

What is the formula to find Diameter of Wire used in Three Wire System Method?

The formula of Diameter of Wire used in Three Wire System Method is expressed as Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle)). Here is an example- 936.6933 = (0.0082-0.007+(0.003*cot(1.0471975511964))/2)/(1+cosec(1.0471975511964)).

How to calculate Diameter of Wire used in Three Wire System Method?

With Micrometer Reading (M), Pitch Diameter (D), Screw Pitch (P) & Thread Angle (θ) we can find Diameter of Wire used in Three Wire System Method using the formula - Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle)). This formula also uses Cotangent (cot)Secant (sec), Cosecant (cosec) function(s).

What are the other ways to Calculate Wire Diameter Metric Thread?

Here are the different ways to Calculate Wire Diameter Metric Thread-

Wire Diameter Metric Thread=(Screw Pitch/2)*sec(Thread Angle/2)

Can the Diameter of Wire used in Three Wire System Method be negative?

No, the Diameter of Wire used in Three Wire System Method, measured in Length cannot be negative.

Which unit is used to measure Diameter of Wire used in Three Wire System Method?

Diameter of Wire used in Three Wire System Method is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Wire used in Three Wire System Method can be measured.

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Diameter of Wire used in Three Wire System Method Formula

​GoIdeal wire diameter in three wire system method Formula

Diameter of Wire used in Three Wire System Method Example

Diameter of Wire used in Three Wire System Method Solution

Diameter of Wire used in Three Wire System Method Formula Elements

Other Formulas to find Wire Diameter Metric Thread

Other formulas in Metric Thread category

How to Evaluate Diameter of Wire used in Three Wire System Method?

FAQs on Diameter of Wire used in Three Wire System Method

Variable Name

GoIdeal wire diameter in three wire system method Formula