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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
Gm=(P2)sec(θ2)
Gm - Wire Diameter Metric Thread?P - Screw Pitch?θ - Thread Angle?

Ideal wire diameter in three wire system method Example

With values
With units
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Here is how the Ideal wire diameter in three wire system method equation looks like with Values.

Here is how the Ideal wire diameter in three wire system method equation looks like with Units.

Here is how the Ideal wire diameter in three wire system method equation looks like.

1.7321Edit=(3Edit2)sec(60Edit2)
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Ideal wire diameter in three wire system method Solution

Follow our step by step solution on how to calculate Ideal wire diameter in three wire system method?

FIRST Step Consider the formula
Gm=(P2)sec(θ2)
Next Step Substitute values of Variables
Gm=(3mm2)sec(60°2)
Next Step Convert Units
Gm=(0.003m2)sec(1.0472rad2)
Next Step Prepare to Evaluate
Gm=(0.0032)sec(1.04722)
Next Step Evaluate
Gm=0.00173205080756888m
Next Step Convert to Output's Unit
Gm=1.73205080756888mm
LAST Step Rounding Answer
Gm=1.7321mm

Ideal wire diameter 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: Gm
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
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.
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 Metric Thread

​Go Diameter of Wire used in Three Wire System Method
Gm=M-D+Pcot(θ)21+cosec(θ)

Other formulas in Metric Thread category

​Go Micrometer reading from three wire system method
M=D+Gm(1+cosec(θ))-Pcot(θ)2
​Go Pitch diameter from three wire system method
D=M-(Gm(1+cosec(θ))-Pcot(θ)2)
​Go Pitch of thread from three wire system method
P=D+Gm(1+cosec(θ))-Mcot(θ)2
​Go Pitch of thread given ideal wire diameter
P=2Gmsec(θ2)

How to Evaluate Ideal wire diameter in three wire system method?

Ideal wire diameter in three wire system method evaluator uses Wire Diameter Metric Thread = (Screw Pitch/2)*sec(Thread Angle/2) to evaluate the Wire Diameter Metric Thread, The Ideal wire diameter in three wire system method formula is defined as the specific diameter of the wires used to accurately measure the pitch diameter of a thread. This diameter ensures that the wires contact the thread flanks at the correct points, providing a precise measurement of the effective pitch diameter, which is crucial for determining the fit and function of threaded connections. Wire Diameter Metric Thread is denoted by Gm symbol.

How to evaluate Ideal wire diameter in three wire system method using this online evaluator? To use this online evaluator for Ideal wire diameter in three wire system method, enter Screw Pitch (P) & Thread Angle (θ) and hit the calculate button.

FAQs on Ideal wire diameter in three wire system method

What is the formula to find Ideal wire diameter in three wire system method?
The formula of Ideal wire diameter in three wire system method is expressed as Wire Diameter Metric Thread = (Screw Pitch/2)*sec(Thread Angle/2). Here is an example- 1749.95 = (0.003/2)*sec(1.0471975511964/2).
How to calculate Ideal wire diameter in three wire system method?
With Screw Pitch (P) & Thread Angle (θ) we can find Ideal wire diameter in three wire system method using the formula - Wire Diameter Metric Thread = (Screw Pitch/2)*sec(Thread Angle/2). This formula also uses Secant (sec) 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=(Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle))OpenImg
Can the Ideal wire diameter in three wire system method be negative?
No, the Ideal wire diameter in three wire system method, measured in Length cannot be negative.
Which unit is used to measure Ideal wire diameter in three wire system method?
Ideal wire diameter 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 Ideal wire diameter in three wire system method can be measured.
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