✖Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.ⓘ Micrometer Reading [M]			+10% -10%
✖Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.ⓘ Pitch Diameter [D]			+10% -10%
✖Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Screw Pitch [P]			+10% -10%
✖Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.ⓘ Thread Angle [θ]			+10% -10%

✖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.ⓘ Diameter of Wire used in Three Wire System Method [G_m]

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Formula

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Diameter of Wire used in Three Wire System Method

Formula

`"G"_{"m"} = ("M"-"D"+("P"*cot("θ"))/2)/(1+cosec("θ"))`

Example

`"0.958846mm"=("8.2mm"-"7mm"+("3mm"*cot("60°"))/2)/(1+cosec("60°"))`

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Diameter of Wire used in Three Wire System Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle))
G_m = (M-D+(P*cot(θ))/2)/(1+cosec(θ))
This formula uses 3 Functions, 5 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., 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., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)

Variables Used

Wire Diameter Metric Thread - (Measured in Meter) - 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.
Micrometer Reading - (Measured in Meter) - Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.
Pitch Diameter - (Measured in Meter) - Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.
Screw Pitch - (Measured in Meter) - Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
Thread Angle - (Measured in Radian) - Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.

STEP 1: Convert Input(s) to Base Unit

Micrometer Reading: 8.2 Millimeter --> 0.0082 Meter (Check conversion here)
Pitch Diameter: 7 Millimeter --> 0.007 Meter (Check conversion here)
Screw Pitch: 3 Millimeter --> 0.003 Meter (Check conversion here)
Thread Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_m = (M-D+(P*cot(θ))/2)/(1+cosec(θ)) --> (0.0082-0.007+(0.003*cot(1.0471975511964))/2)/(1+cosec(1.0471975511964))

Evaluating ... ...

G_m = 0.000958845726812115

STEP 3: Convert Result to Output's Unit

0.000958845726812115 Meter -->0.958845726812115 Millimeter (Check conversion here)

FINAL ANSWER

0.958845726812115 ≈ 0.958846 Millimeter <-- Wire Diameter Metric Thread

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metrology » Thread Measurement » Three Wires System Method » Metric Thread » Diameter of Wire used in Three Wire System Method

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< 7 Metric Thread Calculators

Diameter of Wire used in Three Wire System Method

Go Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle))

Pitch of thread from three wire system method

Go Screw Pitch = (Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-Micrometer Reading)/(cot(Thread Angle)/2)

Pitch diameter from three wire system method

Go Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2)

Micrometer reading from three wire system method

Go Micrometer Reading = Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2

Thread Angle given Ideal Wire Diameter

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

Ideal wire diameter in three wire system method

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

Pitch of thread given ideal wire diameter

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

Diameter of Wire used in Three Wire System Method Formula

Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle))
G_m = (M-D+(P*cot(θ))/2)/(1+cosec(θ))

What is pitch? What is pitch diameter?

Pitch is the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis. Pitch Diameter is the simple effective diameter of the screw thread, approximately halfway between the major and minor diameters.

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

Diameter of Wire used in Three Wire System Method calculator uses Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle)) to calculate 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 calculate Diameter of Wire used in Three Wire System Method using this online calculator? To use this online calculator 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. Here is how the Diameter of Wire used in Three Wire System Method calculation can be explained with given input values -> 936.6933 = (0.0082-0.007+(0.003*cot(1.0471975511964))/2)/(1+cosec(1.0471975511964)).

FAQ

What is Diameter of Wire used in Three Wire System Method?

The Diameter of Wire used in Three Wire System Method formula is defined as diameter of measuring wires used in this method and is represented as G_m = (M-D+(P*cot(θ))/2)/(1+cosec(θ)) or Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle)). Micrometer Reading is the reading of an instrument which can measure thickness of very small objects, Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created, Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch & Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.

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

The Diameter of Wire used in Three Wire System Method formula is defined as diameter of measuring wires used in this method is calculated using Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle)). To calculate Diameter of Wire used in Three Wire System Method, you need Micrometer Reading (M), Pitch Diameter (D), Screw Pitch (P) & Thread Angle (θ). With our tool, you need to enter the respective value for Micrometer Reading, Pitch Diameter, Screw Pitch & Thread Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wire Diameter Metric Thread?

In this formula, Wire Diameter Metric Thread uses Micrometer Reading, Pitch Diameter, Screw Pitch & Thread Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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