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 in the metric measurement system.ⓘ Wire Diameter Metric Thread [G_m]			+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 given Ideal Wire Diameter [θ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Thread Measurement Formulas PDF PDF Image

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)
θ = 2*arcsec((2*G_m)/P)
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 in the metric measurement system.
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

Wire Diameter Metric Thread: 1.74 Millimeter --> 0.00174 Meter (Check conversion here)
Screw Pitch: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = 2*arcsec((2*G_m)/P) --> 2*arcsec((2*0.00174)/0.003)

Evaluating ... ...

θ = 1.0629164758777

STEP 3: Convert Result to Output's Unit

1.0629164758777 Radian -->60.9006280427227 Degree (Check conversion here)

FINAL ANSWER

60.9006280427227 ≈ 60.90063 Degree <-- Thread Angle

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metrology » Thread Measurement » Three Wires System Method » Metric Thread » Thread Angle given Ideal Wire Diameter

Credits

Created by Rajat Vishwakarma

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

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< Metric Thread Calculators

Diameter of Wire used in Three Wire System Method

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

Pitch diameter from three wire system method

LaTeX 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

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

Ideal wire diameter in three wire system method

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

Thread Angle given Ideal Wire Diameter Formula

LaTeX Go

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

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) 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 (P) and hit the calculate button. Here is how the Thread Angle given Ideal Wire Diameter calculation can be explained with given input values -> 3489.349 = 2*arcsec((2*0.00174)/0.003).

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) or Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch). 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 & 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 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). To calculate Thread Angle given Ideal Wire Diameter, you need Wire Diameter Metric Thread (G_m) & Screw Pitch (P). With our tool, you need to enter the respective value for Wire Diameter Metric Thread & Screw Pitch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search