✖Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.ⓘ Pitch Diameter [D]			+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.ⓘ Wire Diameter Metric Thread [G_m]			+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%
✖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%

✖Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.ⓘ Micrometer reading from three wire system method [M]

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Formula

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Micrometer reading from three wire system method

Formula

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

Example

`"9.883154mm"="7mm"+"1.74mm"*(1+cosec("60°"))-("3mm"*cot("60°"))/2`

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Micrometer reading from three wire system method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Pitch Diameter: 7 Millimeter --> 0.007 Meter (Check conversion here)
Wire Diameter Metric Thread: 1.74 Millimeter --> 0.00174 Meter (Check conversion here)
Thread Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Screw Pitch: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = D+G_m*(1+cosec(θ))-(P*cot(θ))/2 --> 0.007+0.00174*(1+cosec(1.0471975511964))-(0.003*cot(1.0471975511964))/2

Evaluating ... ...

M = 0.00988315353299529

STEP 3: Convert Result to Output's Unit

0.00988315353299529 Meter -->9.88315353299529 Millimeter (Check conversion here)

FINAL ANSWER

9.88315353299529 ≈ 9.883154 Millimeter <-- Micrometer Reading

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metrology » Thread Measurement » Three Wires System Method » Metric Thread » Micrometer reading from 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)

Micrometer reading from three wire system method Formula

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

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 Micrometer reading from three wire system method?

Micrometer reading from three wire system method calculator uses Micrometer Reading = Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2 to calculate the Micrometer Reading, The Micrometer reading from three wire system method formula is defined as the measurement obtained using a micrometer when employing three precision wires to measure the pitch diameter of a threaded component. This method is commonly used in metrology for accurate measurement of external and internal threads, ensuring proper fit and functionality in mechanical assemblies. The micrometer reading corresponds to the distance over the wires, providing a direct measurement of the pitch diameter of the thread being evaluated. Micrometer Reading is denoted by M symbol.

How to calculate Micrometer reading from three wire system method using this online calculator? To use this online calculator for Micrometer reading from three wire system method, enter Pitch Diameter (D), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch (P) and hit the calculate button. Here is how the Micrometer reading from three wire system method calculation can be explained with given input values -> 9913.108 = 0.007+0.00174*(1+cosec(1.0471975511964))-(0.003*cot(1.0471975511964))/2.

FAQ

What is Micrometer reading from three wire system method?

The Micrometer reading from three wire system method formula is defined as the measurement obtained using a micrometer when employing three precision wires to measure the pitch diameter of a threaded component. This method is commonly used in metrology for accurate measurement of external and internal threads, ensuring proper fit and functionality in mechanical assemblies. The micrometer reading corresponds to the distance over the wires, providing a direct measurement of the pitch diameter of the thread being evaluated and is represented as M = D+G_m*(1+cosec(θ))-(P*cot(θ))/2 or Micrometer Reading = Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2. Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created, 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, Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis & Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

How to calculate Micrometer reading from three wire system method?

The Micrometer reading from three wire system method formula is defined as the measurement obtained using a micrometer when employing three precision wires to measure the pitch diameter of a threaded component. This method is commonly used in metrology for accurate measurement of external and internal threads, ensuring proper fit and functionality in mechanical assemblies. The micrometer reading corresponds to the distance over the wires, providing a direct measurement of the pitch diameter of the thread being evaluated is calculated using Micrometer Reading = Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2. To calculate Micrometer reading from three wire system method, you need Pitch Diameter (D), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch (P). With our tool, you need to enter the respective value for Pitch Diameter, Wire Diameter Metric Thread, Thread Angle & Screw Pitch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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