Thread angle given ideal wire diameter Calculator

✖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.ⓘ Wire Diameter Metric Thread [G_m]			+10% -10%
✖Screw Pitch of Metric Thread is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Screw Pitch of Metric Thread [P_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 given ideal wire diameter [θ]

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Formula

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Thread angle given ideal wire diameter

Formula

`"θ" = 2*arcsec((2*"G"_{"m"})/"P"_{"m"})`

Example

`"62.88269°"=2*arcsec((2*"2.52mm")/"4.3mm")`

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Thread angle given ideal wire diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch of Metric Thread)
θ = 2*arcsec((2*G_m)/P_m)
This formula uses 2 Functions, 3 Variables

Functions Used

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)
arcsec - Inverse trigonometric secant – Unary function., arcsec(x)

Variables Used

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.
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.
Screw Pitch of Metric Thread - (Measured in Meter) - Screw Pitch of Metric Thread 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

Wire Diameter Metric Thread: 2.52 Millimeter --> 0.00252 Meter (Check conversion here)
Screw Pitch of Metric Thread: 4.3 Millimeter --> 0.0043 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = 2*arcsec((2*G_m)/P_m) --> 2*arcsec((2*0.00252)/0.0043)

Evaluating ... ...

θ = 1.09751001380199

STEP 3: Convert Result to Output's Unit

1.09751001380199 Radian -->62.8826917642104 Degree (Check conversion here)

FINAL ANSWER

62.8826917642104 ≈ 62.88269 Degree <-- Thread Angle

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 7 Metric Thread Calculators

Diameter of wire used in three wire system method

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

Pitch of thread from three wire system method

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

Pitch diameter from three wire system method

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

Micrometer reading from three wire system method

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

Thread angle given ideal wire diameter

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

Ideal wire diameter in three wire system method

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

Pitch of thread given ideal wire diameter

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

Thread angle given ideal wire diameter Formula

Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch of Metric Thread)
θ = 2*arcsec((2*G_m)/P_m)

What is three wire method of thread measurement ?

In the three-wire method, two of the wires are placed in the thread groove on one side and one wire is diametrically opposed. The measurement is done using a micrometre or preferably a diameter measuring machine for more accuracy. The accuracy of the pitch diameter measurement depends on the measuring instrument, the wire diameter, and the contact force applied.

How to Calculate Thread angle given ideal wire diameter?

Thread angle given ideal wire diameter calculator uses Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch of Metric Thread) to calculate the Thread Angle, The Thread angle given ideal wire diameter formula is defined as the included angle between the thread flanks, measured in a plane containing the thread axis. Thread Angle is denoted by θ symbol.

How to calculate Thread angle given ideal wire diameter using this online calculator? To use this online calculator for Thread angle given ideal wire diameter, enter Wire Diameter Metric Thread (G_m) & Screw Pitch of Metric Thread (P_m) and hit the calculate button. Here is how the Thread angle given ideal wire diameter calculation can be explained with given input values -> 3602.913 = 2*arcsec((2*0.00252)/0.0043).

FAQ

What is Thread angle given ideal wire diameter?

The Thread angle given ideal wire diameter formula is defined as the included angle between the thread flanks, measured in a plane containing the thread axis and is represented as θ = 2*arcsec((2*G_m)/P_m) or Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch of 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 & Screw Pitch of Metric Thread is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

How to calculate Thread angle given ideal wire diameter?

The Thread angle given ideal wire diameter formula is defined as the included angle between the thread flanks, measured in a plane containing the thread axis is calculated using Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch of Metric Thread). To calculate Thread angle given ideal wire diameter, you need Wire Diameter Metric Thread (G_m) & Screw Pitch of Metric Thread (P_m). With our tool, you need to enter the respective value for Wire Diameter Metric Thread & Screw Pitch of Metric Thread 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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